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Contrast Data Mining: Concepts, Algorithms, and Applications (Chapman & Hall/CRC Data Mining and Knowledge Discovery Series)
by James Bailey Guozhu DongA Fruitful Field for Researching Data Mining Methodology and for Solving Real-Life ProblemsContrast Data Mining: Concepts, Algorithms, and Applications collects recent results from this specialized area of data mining that have previously been scattered in the literature, making them more accessible to researchers and developers in data mining and
Contributions in Analytic and Algebraic Number Theory: Festschrift for S. J. Patterson (Springer Proceedings in Mathematics #9)
by Valentin Blomer Preda MihăilescuThe text that comprises this volume is a collection of surveys and original works from experts in the fields of algebraic number theory, analytic number theory, harmonic analysis, and hyperbolic geometry. A portion of the collected contributions have been developed from lectures given at the "International Conference on the Occasion of the 60th Birthday of S. J. Patterson", held at the University Göttingen, July 27-29 2009. Many of the included chapters have been contributed by invited participants. This volume presents and investigates the most recent developments in various key topics in analytic number theory and several related areas of mathematics. The volume is intended for graduate students and researchers of number theory as well as applied mathematicians interested in this broad field.
Contributions in Mathematics and Engineering: In Honor of Constantin Carathéodory
by Panos M. Pardalos Themistocles M. RassiasThe contributions in this volume aim to deepenunderstanding of some of the current research problems and theories inmodern topics such as calculus of variations, optimization theory, complexanalysis, real analysis, differential equations, andgeometry. Applications to these areas of mathematics are presented withinthe broad spectrum of research in Engineering Science withparticular emphasis on equilibrium problems, complexity in numericaloptimization, dynamical systems, non-smooth optimization, complex networkanalysis, statistical models and data mining, and energy systems. Additionalemphasis is given to interdisciplinary research, although subjects are treatedin a unified and self-contained manner. The presentation of methods, theory andapplications makes this tribute an invaluable reference for teachers,researchers, and other professionals interested in pure and appliedresearch, philosophy of mathematics, and mathematics education. Somereview papers published in this volume will be particularly useful for abroader audience of readers as well as for graduate students who search for thelatest information. ConstantinCarath#65533;odory's wide-ranging influence in the international mathematicalcommunity was seen during the first Fields Medals awards at the InternationalCongress of Mathematicians, Oslo, 1936. Two medals were awarded, one to Lars V. Ahlfors and one to Jesse Douglass. It was Carath#65533;odory who presented both theirworks during the opening of the International Congress. This volume containssignificant papers in Science and Engineering dedicated to the memory ofConstantin Carath#65533;odory and the spirit of his mathematical influence.
Contributions in Stock-flow Modeling
by Gennaro Zezza Dimitri B. PapadimitriouA collection of papers from leading thinkers to celebrate the work of the late Wynne Godley, and his enormous contribution to the field of monetary economics. Chapters include in-depth discussions of the revolutionary economic modelling systems that Godley introduced, as well as his prescient concerns about the global financial crash.
Contributions on Theory of Mathematical Statistics
by Kei TakeuchiThis volume is a reorganized edition of Kei Takeuchi’s works on various problems in mathematical statistics based on papers and monographs written since the 1960s on several topics in mathematical statistics and published in various journals in English and in Japanese. They are organized into seven parts, each of which is concerned with specific topics and edited to make a consistent thesis. Sometimes expository chapters have been added. The topics included are as follows: theory of statistical prediction from a non-Bayesian viewpoint and analogous to the classical theory of statistical inference; theory of robust estimation, concepts, and procedures, and its implications for practical applications; theory of location and scale covariant/invariant estimations with derivation of explicit forms in various cases; theory of selection and testing of parametric models and a comprehensive approach including the derivation of the Akaike’s Information Criterion (AIC); theory of randomized designs, comparisons of random and conditional approaches, and of randomized and non-randomized designs, with random sampling from finite populations considered as a special case of randomized designs and with some separate independent papers included. Theory of asymptotically optimal and higher-order optimal estimators are not included, since most of them already have been published in the Joint Collected Papers of M. Akahira and K. Takeuchi. There are some topics that are not necessarily new, do not seem to have attracted many theoretical statisticians, and do not appear to have been systematically dealt with in textbooks or expository monographs. One purpose of this volume is to give a comprehensive view of such problems as well.
Contributions to Nonlinear Elliptic Equations and Systems: A Tribute to Djairo Guedes de Figueiredo on the Occasion of his 80th Birthday (Progress in Nonlinear Differential Equations and Their Applications #86)
by Alexandre N. Carvalho Bernhard Ruf Ederson Moreira Santos Jean-Pierre Gossez Sergio H. M. Soares Thierry CazenaveThis volume of contributions pays tribute to the life and work of Djairo Guedes de Figueiredo on the occasion of his 80th birthday. The articles it contains were born out of the ICMC Summer Meeting on Differential Equations - 2014 Chapter, also dedicated to de Figueiredo and held at the Universidade de São Paulo at São Carlos, Brazil from February 3-7, 2014. The contributing authors represent a group of international experts in the field and discuss recent trends and new directions in nonlinear elliptic partial differential equations and systems. Djairo Guedes de Figueiredo has had a very active scientific career, publishing 29 monographs and over one hundred research articles. His influence on Brazilian mathematics has made him one of the pillars of the subject in that country. He had a major impact on the development of analysis, especially in its application to nonlinear elliptic partial differential equations and systems throughout the entire world. The articles collected here pay tribute to him and his legacy and are intended for graduate students and researchers in mathematics and related areas who are interested in nonlinear elliptic partial differential equations and systems.
Contributions to Partial Differential Equations and Applications (Computational Methods in Applied Sciences #47)
by B. N. Chetverushkin W. Fitzgibbon Y. A. Kuznetsov P. Neittaanmäki J. Periaux O. PironneauThis book treats Modelling of CFD problems, Numerical tools for PDE, and Scientific Computing and Systems of ODE for Epidemiology, topics that are closely related to the scientific activities and interests of Prof. William Fitzgibbon, Prof. Yuri Kuznetsov, and Prof. O. Pironneau, whose outstanding achievements are recognised in this volume. It contains 20 contributions from leading scientists in applied mathematics dealing with partial differential equations and their applications to engineering, ab-initio chemistry and life sciences. It includes the mathematical and numerical contributions to PDE for applications presented at the ECCOMAS thematic conference "Contributions to PDE for Applications" held at Laboratoire Jacques Louis Lions in Paris, France, August 31- September 1, 2015, and at the Department of Mathematics, University of Houston, Texas, USA, February 26-27, 2016. This event brought together specialists from universities and research institutions who are developing or applying numerical PDE or ODE methods with an emphasis on industrial and societal applications. This volume is of interest to researchers and practitioners as well as advanced students or engineers in applied and computational mathematics. All contributions are written at an advanced scientific level with no effort made by the editors to make this volume self-contained. It is assumed that the reader is a specialist already who knows the basis of this field of research and has the capability of understanding and appreciating the latest developments in this field.
Contributions to Sampling Statistics (Contributions to Statistics)
by Fulvia Mecatti Pier Luigi Conti Maria Giovanna RanalliThis book contains a selection of the papers presented at the ITACOSM 2013 Conference, held in Milan in June 2013 It is intended as an international forum of scientific discussion on the developments of theory and application of survey sampling methodologies and applications in human and natural sciences. The book gathers research papers carefully selected from both invited and contributed sessions of the conference. The whole book appears to be a relevant contribution to various key aspects of sampling methodology and techniques; it deals with some hot topics in sampling theory, such as calibration, quantile-regression and multiple frame surveys and with innovative methodologies in important topics of both sampling theory and applications Contributions cut across current sampling methodologies such as interval estimation for complex samples, randomized responses, bootstrap, weighting, modeling, imputation, small area estimation and effective use of auxiliary information; applications cover a wide and enlarging range of subjects in official household surveys, Bayesian networks, auditing, business and economic surveys, geostatistics and agricultural statistics. The book is an updated, high level reference survey addressed to researchers, professionals and practitioners in many fields.
Contributions to the Founding of the Theory of Transfinite Numbers (Dover Books on Mathematics)
by Georg CantorOne of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply and clearly: the reader with a good grasp of college mathematics will be able to understand most of the basic ideas and many of the proofs.Cantor first develops the elementary definitions and operations of cardinal and ordinal numbers and analyzes the concepts of "canlinality" and "ordinality." He covers such topics as the addition, multiplication, and exponentiation of cardinal numbers, the smallest transfinite cardinal number, the ordinal types of simply ordered aggregates, operations on ordinal types, the ordinal type of the linear continuum, and others. He then develops a theory of well-ordered aggregates, and investigates the ordinal numbers of well-ordered aggregates and the properties and extent of the transfinite ordinal numbers.An 82-page introduction by the eminent mathematical historian Philip E. B. Jourdain first sketches the background of Cantor's theory, discussing the contributions of such predecessors as Veicrstrass, Cauchy, Dedekind, Dirichlet, Riemann, Fourier, and Hankel; it then traces the development of the theory by summarizing and analyzing Cantor's earlier work. A bibliographical note provides information on further investigations in the theory of transfinite numbers by Frege, Peano, Whitehead, Russell, etc.
Control Charts and Machine Learning for Anomaly Detection in Manufacturing (Springer Series in Reliability Engineering)
by Kim Phuc TranThis book introduces the latest research on advanced control charts and new machine learning approaches to detect abnormalities in the smart manufacturing process. By approaching anomaly detection using both statistics and machine learning, the book promotes interdisciplinary cooperation between the research communities, to jointly develop new anomaly detection approaches that are more suitable for the 4.0 Industrial Revolution. The book provides ready-to-use algorithms and parameter sheets, enabling readers to design advanced control charts and machine learning-based approaches for anomaly detection in manufacturing. Case studies are introduced in each chapter to help practitioners easily apply these tools to real-world manufacturing processes. The book is of interest to researchers, industrial experts, and postgraduate students in the fields of industrial engineering, automation, statistical learning, and manufacturing industries.
Control Of Nonlinear Distributed Parameter Systems
by Irena Lasiecka Goong Chen Jianxin ZhouAn examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics a
Control Strategies for Non-minimum Phase Systems (Studies in Infrastructure and Control)
by Ashutosh K. Giri Stepan Ozana Manish YadavThis book provides overview of numerous control schemes for non-minimum phase and dead-time systems. The inverse response arises from the conflict of two first-order systems with opposite effects. This feature of the system is known as non-minim phase (NMP) process. The opposite response initiates from odd multiplicity of NMP open-loop zeros. As a result, the controller shows a limited gain margin and bandwidth, implying a robustness restriction. If the user tries to increase the gain, system sometimes gets unstable. Thus, the fundamental notion of providing a suitable balance control theory can potentially improve the performance of those processes. This book is useful to researchers working in the field of control system. The book provides comprehensive philosophy of different control schemes used for the non-minimum phase zeros and dead-time systems. The researcher working on non-minimum phase zeros can find innovative algorithms and novel schemes. Further, they can design innovative control schemes by referring to the content of chapters and specifically tuning after encountering NMP zeros and delay terms.
Control System Analysis and Identification with MATLAB®: Block Pulse and Related Orthogonal Functions
by Anish Deb Srimanti RoychoudhuryKey Features: The Book Covers recent results of the traditional block pulse and other functions related material Discusses ‘functions related to block pulse functions’ extensively along with their applications Contains analysis and identification of linear time-invariant systems, scaled system, and sampled-data system Presents an overview of piecewise constant orthogonal functions starting from Haar to sample-and-hold function Includes examples and MATLAB codes with supporting numerical exampless.
Control Systems Benchmarks (Advances in Industrial Control)
by José M. Maestre Carlos Ocampo-MartinezControl Systems Benchmarks helps control engineers, researchers, and students to evaluate and compare control system performance across a range of critical applications by offering a collection of real-world benchmarks. The book brings together challenges from diverse fields like power grids, robotics, automotive systems, and industrial processes, giving readers practical tools to test their control methods in realistic settings. Organized into two blocks, the book first tackles process control, covering dynamic and large-scale problems such as load-frequency control in power grids and wastewater-treatment-plant automation. The second block explores robotics and vehicles, focusing on areas like fault-tolerant control of quadrotors and lateral stability in electric vehicles. Each benchmark presents complex engineering challenges, allowing readers to experiment with various control approaches. This book is set apart by the consistent structure of its chapters, which enables readers to adapt benchmarks for their own systems easily. Each chapter includes: a brief overview of the benchmark, highlighting its significance and technical hurdles; a detailed problem description, including engineering goals and constraints; experimental setup, performance metrics, and data collection methods; downloadable materials and instructions for running simulations or accessing physical platforms; and a discussion of existing solutions, case studies, and open challenges to inspire further research. Whether you're a practitioner, an academic researcher, or a student eager to deepen your understanding of control systems, Control Systems Benchmarks offers practical insights and valuable resources to advance your work.
Control Systems and Mathematical Methods in Economics: Essays in Honor of Vladimir M. Veliov (Lecture Notes in Economics and Mathematical Systems #687)
by Gernot Tragler Raimund M. Kovacevic Gustav FeichtingerSince the days of Lev Pontryagin and his associates, the discipline of Optimal Control has enjoyed a tremendous upswing – not only in terms of its mathematical foundations, but also with regard to numerous fields of application, which have given rise to highly active research areas. Few scholars, however, have been able to make contributions to both the mathematical developments and the (socio-)economic applications; Vladimir Veliov is one of them. In the course of his scientific career, he has contributed highly influential research on mathematical aspects of Optimal Control Theory, as well as applications in Economics and Operations Research. One of the hallmarks of his research is its impressive breadth. This volume, published on the occasion of his 65th birthday, accurately reflects that diversity. The mathematical aspects covered include stability theory for difference inclusions, metric regularity, generalized duality theory, the Bolza problem from a functional analytic perspective, and fractional calculus. In turn, the book explores various applications of control theory, such as population dynamics, population economics, epidemiology, optimal growth theory, resource and energy economics, environmental management, and climate change. Further topics include optimal liquidity, dynamics of the firm, and wealth inequality.
Control Theory Tutorial: Basic Concepts Illustrated by Software Examples (SpringerBriefs in Applied Sciences and Technology)
by Steven A. FrankThis open access Brief introduces the basic principles of control theory in a concise self-study guide. It complements the classic texts by emphasizing the simple conceptual unity of the subject. A novice can quickly see how and why the different parts fit together. The concepts build slowly and naturally one after another, until the reader soon has a view of the whole. Each concept is illustrated by detailed examples and graphics. The full software code for each example is available, providing the basis for experimenting with various assumptions, learning how to write programs for control analysis, and setting the stage for future research projects. The topics focus on robustness, design trade-offs, and optimality. Most of the book develops classical linear theory. The last part of the book considers robustness with respect to nonlinearity and explicitly nonlinear extensions, as well as advanced topics such as adaptive control and model predictive control. New students, as well as scientists from other backgrounds who want a concise and easy-to-grasp coverage of control theory, will benefit from the emphasis on concepts and broad understanding of the various approaches.
Control Theory and Inverse Problems: The 2023 Workshop in Monastir, Tunisia (Trends in Mathematics)
by Kaïs Ammari Islam Boussaada Chaker JammaziThis volume presents a timely overview of control theory and inverse problems, and highlights recent advances in these active research areas. The chapters are based on talks given at the spring school "Control Theory & Inverse Problems” held in Monastir, Tunisia in May 2023. In addition to providing a snapshot of these two areas, chapters also highlight breakthroughs on more specific topics, such as: Control of hyperbolic systems The Helffer-Nier Conjecture Rapid stabilization of the discretized Vlasov system Exponential stability of a delayed thermoelastic system Control Theory and Inverse Problems will be a valuable resource for both established researchers as well as more junior members of the community.
Control Theory in Rheology: An Introduction to Practical Applications
by Tommi BorgThis book bridges the gap between theoretical rheology and practical industry applications by introducing Control Theory (CT) and the linear Unified Model. This approach enables the modelling and analysis of various viscoelastic flows as well as polymer and macromolecular structures. In practical engineering, the design of machinery and equipment for polymers often relies on handbooks, respective textbooks, and numerous CAD-aided software tools based on empirical formulas. This book presents many useful viscoelastic constitutive equations for analysing and model shear and complex flows, relaxation modulus and spectrum, elongation, transient viscosity, and for computing the Molecular Weight Distribution (MWD) from viscoelastic measurements. The book adopts a counterintuitive approach, starting afresh and proceeding chronologically from steady-state viscosity and other flows relevant to practical engineering to the theoretical formulas of relaxation phenomena. It simplifies unnecessary complexity while still drawing on the well-documented motions of molecular chains. Furthermore, the book offers deeper insights into the background of power-law theories and the Cox-Merz rule, supplying new formulas for the relaxation modulus, spectrum, and various modules through the application of unified formulas. Professionals and scholars alike will find it a handy reference tool.
Control Theory of Partial Differential Equations (Lecture Notes in Pure and Applied Mathematics)
by Oleg Imanuvilov; Guenter Leugering; Roberto Triggiani; Bing-Yu ZhangThe field of control theory in PDEs has broadened considerably as more realistic models have been introduced and investigated. This book presents a broad range of recent developments, new discoveries, and mathematical tools in the field. The authors discuss topics such as elasticity, thermo-elasticity, aero-elasticity, interactions between fluids a
Control and Boundary Analysis (Lecture Notes in Pure and Applied Mathematics)
by Jean-Paul Zolésio John CagnalThis volume comprises selected papers from the 21st Conference on System Modeling and Optimization in Sophia Antipolis, France. It covers over three decades of studies involving partial differential systems and equations. Topics include: the modeling of continuous mechanics involving fixed boundary, control theory, shape optimization and moving bou
Control and Filtering for Semi-Markovian Jump Systems (Studies in Systems, Decision and Control #81)
by Peng Shi Ligang Wu Fanbiao LiThis book presents up-to-date research developments and novel methodologies on semi-Markovian jump systems (S-MJS). It presents solutions to a series of problems with new approaches for the control and filtering of S-MJS, including stability analysis, sliding mode control, dynamic output feedback control, robust filter design, and fault detection. A set of newly developed techniques such as piecewise analysis method, positively invariant set approach, event-triggered method, and cone complementary linearization approaches are presented. Control and Filtering for Semi-Markovian Jump Systems is a comprehensive reference for researcher and practitioners working in control engineering, system sciences and applied mathematics, and is also a useful source of information for senior undergraduates and graduates in these areas. The readers will benefit from some new concepts, new models and new methodologies with practical significance in control engineering and signal processing.
Control and Inverse Problems: The 2022 Spring Workshop in Monastir, Tunisia (Trends in Mathematics)
by Kaïs Ammari Chaker Jammazi Faouzi TrikiThis volume presents a timely overview of control theory and inverse problems, and highlights recent advances in these active research areas. The chapters are based on talks given at the spring school "Control & Inverse Problems” held in Monastir, Tunisia in May 2022. In addition to providing a snapshot of these two areas, chapters also highlight breakthroughs on more specific topics, such as: Controllability of dynamical systems Information transfer in multiplier equations Nonparametric instrumental regression Control of chained systems The damped wave equation Control and Inverse Problems will be a valuable resource for both established researchers as well as more junior members of the community.
Control and Optimization with PDE Constraints (International Series of Numerical Mathematics #164)
by Gregory Von Winckel Karl Kunisch Christian Clason Kristian BrediesMany mathematical models of physical, biological and social systems involve partial differential equations (PDEs). The desire to understand and influence these systems naturally leads to considering problems of control and optimization. This book presents important topics in the areas of control of PDEs and of PDE-constrained optimization, covering the full spectrum from analysis to numerical realization and applications. Leading scientists address current topics such as non-smooth optimization, Hamilton-Jacobi-Bellmann equations, issues in optimization and control of stochastic partial differential equations, reduced-order models and domain decomposition, discretization error estimates for optimal control problems, and control of quantum-dynamical systems. These contributions originate from the "International Workshop on Control and Optimization of PDEs" in Mariatrost in October 2011. This book is an excellent resource for students and researchers in control or optimization of differential equations. Readers interested in theory or in numerical algorithms will find this book equally useful.
Control and System Theory of Discrete-Time Stochastic Systems (Communications and Control Engineering)
by Jan H. van SchuppenThis book helps students, researchers, and practicing engineers to understand the theoretical framework of control and system theory for discrete-time stochastic systems so that they can then apply its principles to their own stochastic control systems and to the solution of control, filtering, and realization problems for such systems. Applications of the theory in the book include the control of ships, shock absorbers, traffic and communications networks, and power systems with fluctuating power flows.The focus of the book is a stochastic control system defined for a spectrum of probability distributions including Bernoulli, finite, Poisson, beta, gamma, and Gaussian distributions. The concepts of observability and controllability of a stochastic control system are defined and characterized. Each output process considered is, with respect to conditions, represented by a stochastic system called a stochastic realization. The existence of a control law is related to stochastic controllability while the existence of a filter system is related to stochastic observability. Stochastic control with partial observations is based on the existence of a stochastic realization of the filtration of the observed process.
Control in Finite and Infinite Dimension (SpringerBriefs on PDEs and Data Science)
by Emmanuel TrélatThis book is the result of various master and summer school courses the author has taught. The objective is to provide the reader with an introduction to control theory and to the main tools allowing to treat general control systems. The author hopes this book will serve as motivation to go deeper into the theory or numerical aspects that are not covered in this book. This book might be helpful for graduate students and researchers in the field of control theory.