Download or read book The Mathematics of Networks of Linear Systems written by Paul A. Fuhrmann and published by Springer. This book was released on 2015-05-26 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the mathematical foundations of networks of linear control systems, developed from an algebraic systems theory perspective. This includes a thorough treatment of questions of controllability, observability, realization theory, as well as feedback control and observer theory. The potential of networks for linear systems in controlling large-scale networks of interconnected dynamical systems could provide insight into a diversity of scientific and technological disciplines. The scope of the book is quite extensive, ranging from introductory material to advanced topics of current research, making it a suitable reference for graduate students and researchers in the field of networks of linear systems. Part I can be used as the basis for a first course in Algebraic System Theory, while Part II serves for a second, advanced, course on linear systems. Finally, Part III, which is largely independent of the previous parts, is ideally suited for advanced research seminars aimed at preparing graduate students for independent research. “Mathematics of Networks of Linear Systems” contains a large number of exercises and examples throughout the text making it suitable for graduate courses in the area.
Download or read book Finite Dimensional Linear Systems written by Roger W. Brockett and published by SIAM. This book was released on 2015-05-26 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1970, Finite Dimensional Linear Systems is a classic textbook that provides a solid foundation for learning about dynamical systems and encourages students to develop a reliable intuition for problem solving. The theory of linear systems has been the bedrock of control theory for 50 years and has served as the springboard for many significant developments, all the while remaining impervious to change. Since linearity lies at the heart of much of the mathematical analysis used in applications, a firm grounding in its central ideas is essential. This book touches upon many of the standard topics in applied mathematics, develops the theory of linear systems in a systematic way, making as much use as possible of vector ideas, and contains a number of nontrivial examples and many exercises.
Download or read book Linear Systems Theory written by Ferenc Szidarovszky and published by Routledge. This book was released on 2018-05-03 with total page 528 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition comprehensively presents important tools of linear systems theory, including differential and difference equations, Laplace and Z transforms, and more. Linear Systems Theory discusses: Nonlinear and linear systems in the state space form and through the transfer function method Stability, including marginal stability, asymptotical stability, global asymptotical stability, uniform stability, uniform exponential stability, and BIBO stability Controllability Observability Canonical forms System realizations and minimal realizations, including state space approach and transfer function realizations System design Kalman filters Nonnegative systems Adaptive control Neural networks The book focuses mainly on applications in electrical engineering, but it provides examples for most branches of engineering, economics, and social sciences. What's New in the Second Edition? Case studies drawn mainly from electrical and mechanical engineering applications, replacing many of the longer case studies Expanded explanations of both linear and nonlinear systems as well as new problem sets at the end of each chapter Illustrative examples in all the chapters An introduction and analysis of new stability concepts An expanded chapter on neural networks, analyzing advances that have occurred in that field since the first edition Although more mainstream than its predecessor, this revision maintains the rigorous mathematical approach of the first edition, providing fast, efficient development of the material. Linear Systems Theory enables its reader to develop his or her capabilities for modeling dynamic phenomena, examining their properties, and applying them to real-life situations.
Download or read book Mathematical Foundations of Computer Networking written by Srinivasan Keshav and published by Pearson Education. This book was released on 2012 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical techniques pervade current research in computer networking, yet are not taught to most computer science undergraduates. This self-contained, highly-accessible book bridges the gap, providing the mathematical grounding students and professionals need to successfully design or evaluate networking systems. The only book of its kind, it brings together information previously scattered amongst multiple texts. It first provides crucial background in basic mathematical tools, and then illuminates the specific theories that underlie computer networking. Coverage includes: * Basic probability * Statistics * Linear Algebra * Optimization * Signals, Systems, and Transforms, including Fourier series and transforms, Laplace transforms, DFT, FFT, and Z transforms * Queuing theory * Game Theory * Control theory * Information theory
Download or read book Linear Systems Theory Second Edition written by Ferenc Szidarovszky and published by CRC Press. This book was released on 1997-11-25 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition comprehensively presents important tools of linear systems theory, including differential and difference equations, Laplace and Z transforms, and more. Linear Systems Theory discusses: Nonlinear and linear systems in the state space form and through the transfer function method Stability, including marginal stability, asymptotical stability, global asymptotical stability, uniform stability, uniform exponential stability, and BIBO stability Controllability Observability Canonical forms System realizations and minimal realizations, including state space approach and transfer function realizations System design Kalman filters Nonnegative systems Adaptive control Neural networks The book focuses mainly on applications in electrical engineering, but it provides examples for most branches of engineering, economics, and social sciences. What's New in the Second Edition? Case studies drawn mainly from electrical and mechanical engineering applications, replacing many of the longer case studies Expanded explanations of both linear and nonlinear systems as well as new problem sets at the end of each chapter Illustrative examples in all the chapters An introduction and analysis of new stability concepts An expanded chapter on neural networks, analyzing advances that have occurred in that field since the first edition Although more mainstream than its predecessor, this revision maintains the rigorous mathematical approach of the first edition, providing fast, efficient development of the material. Linear Systems Theory enables its reader to develop his or her capabilities for modeling dynamic phenomena, examining their properties, and applying them to real-life situations.
Download or read book Linear Networks and Systems Fourier analysis and state equations written by Wai-Kai Chen and published by World Scientific. This book was released on 1990 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume introductory text on modern network and system theory establishes a firm analytic foundation for the analysis, design and optimization of a wide variety of passive and active circuits. Volume 1 is devoted to the fundamentals and Volume 2 to Fourier analysis and state equations. Its prerequisites are basic calculus, dc and ac networks, matrix algebra, and some familiarity with linear differential equations. The objective of the book is to select and feature theories and concepts of fundamental importance that are amendable to a broad range of applications. A special feature of the book is that it bridges the gap between theory and practice, with abundant examples showing how theory solves problems. Recognizing that computers are common tools in modern engineering, canned computer programs are developed throughout the text, both in the time domain and the frequency domain. In addition to the usual materials in a linear networks and systems book, advanced topics on functions of a matrix that are closely related to the solution of the state equation are included. The reader will find the study of this material rewarding.
Download or read book Iterative Methods for Sparse Linear Systems written by Yousef Saad and published by SIAM. This book was released on 2003-04-01 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- General.
Download or read book Linear Systems Signal Processing and Hypercomplex Analysis written by Daniel Alpay and published by Springer. This book was released on 2019-08-08 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes contributions originating from a conference held at Chapman University during November 14-19, 2017. It presents original research by experts in signal processing, linear systems, operator theory, complex and hypercomplex analysis and related topics.
Download or read book Rational Function Systems and Electrical Networks with Multi parameters written by Kai-Sheng Lu and published by World Scientific. This book was released on 2012 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: To overcome the problems of system theory and network theory over real field, this book uses matrices over the field F ( z ) of rational functions in multi-parameters describing coefficient matrices of systems and networks and makes systems and network description over F ( z ) and researches their structural properties: reducible condition of a class of matrices over F ( z ) and their characteristic polynomial; type-1 matrix and two basic properties; variable replacement conditions for independent parameters; structural controllability and observability of linear systems over F ( z ); separability, reducibility, controllability, observability and structural conditions of networks over F ( z ), and so on. This book involves three subjects: systems, networks and matrices over F ( z ), which is an achievement of interdisciplinary research. Sample Chapter(s). Chapter 1: Introduction (166 KB). Contents: Introduction; Matrices Over Field F ( z ) of Rational Functions in Multi-Parameters; Controllability and Observability of Linear Systems Over F ( z ); Electrical Networks Over F ( z ); Further Thought. Readership: For researchers, graduate students, and engineers in the field of electrical engineering, electronics, automation and applied mathematics (matrix theory).
Download or read book Applied Graph Theory written by Wai-Kai Chen and published by Elsevier. This book was released on 2014-11-28 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applied Graph Theory: Graphs and Electrical Networks, Second Revised Edition provides a concise discussion of the fundamentals of graph and its application to the electrical network theory. The book emphasizes the mathematical precision of the concepts and principles involved. The text first covers the basic theory of graph, and then proceeds to tackling in the next three chapters the various applications of graph to electrical network theory. These chapters also discuss the foundations of electrical network theory; directed-graph solutions of linear algebraic equations; and topological analysis of linear systems. Next, the book covers trees and their generation. Chapter 6 deals with the realizability of directed graphs with prescribed degrees, while Chapter 7 talks about state equations of networks. The book will be of great use to researchers of network topology, linear systems, and circuitries.
Download or read book Continuous Time Markov Jump Linear Systems written by Oswaldo Luiz do Valle Costa and published by Springer Science & Business Media. This book was released on 2012-12-18 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: It has been widely recognized nowadays the importance of introducing mathematical models that take into account possible sudden changes in the dynamical behavior of a high-integrity systems or a safety-critical system. Such systems can be found in aircraft control, nuclear power stations, robotic manipulator systems, integrated communication networks and large-scale flexible structures for space stations, and are inherently vulnerable to abrupt changes in their structures caused by component or interconnection failures. In this regard, a particularly interesting class of models is the so-called Markov jump linear systems (MJLS), which have been used in numerous applications including robotics, economics and wireless communication. Combining probability and operator theory, the present volume provides a unified and rigorous treatment of recent results in control theory of continuous-time MJLS. This unique approach is of great interest to experts working in the field of linear systems with Markovian jump parameters or in stochastic control. The volume focuses on one of the few cases of stochastic control problems with an actual explicit solution and offers material well-suited to coursework, introducing students to an interesting and active research area. The book is addressed to researchers working in control and signal processing engineering. Prerequisites include a solid background in classical linear control theory, basic familiarity with continuous-time Markov chains and probability theory, and some elementary knowledge of operator theory.
Download or read book Numerical Analysis of Linear Networks and Systems written by Hermann Kremer and published by Artech House Publishers. This book was released on 1987 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Symposium on Mathematical Theory of Networks and Systems written by International Symposium on Mathematical Theory of Networks and Systems and published by . This book was released on 1981 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book First order Representations of Linear Systems written by Margreet Kuijper and published by Birkhauser. This book was released on 1994 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past decade a new approach has been introduced to the theory of systems representations. Introduced by Jan C. Willems, it is called the behavioural approach. One of its main features is that it is well suited for modelling interconnections of systems. In this book, the author develops representation theory from a behavioural point of view and focuses on various types of (generalized state space) first-order representations that commonly arise in the process of modelling. It covers minimality, derives transformation groups and offers realization methods that lead directly to minimal realizations. The book further presents generalized notions of controllability indices and observability indices and gives methods to calculate these indices. The book includes a procedure to derive a standard state space description from a general first-order representation. It fortifies the reader's understanding with basic examples from electrical networks and mechanics.
Download or read book Systems and Control in the Twenty First Century written by Christopher I. Byrnes and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematical theory of networks and systems has a long, and rich history, with antecedents in circuit synthesis and the analysis, design and synthesis of actuators, sensors and active elements in both electrical and mechanical systems. Fundamental paradigms such as the state-space real ization of an input/output system, or the use of feedback to prescribe the behavior of a closed-loop system have proved to be as resilient to change as were the practitioners who used them. This volume celebrates the resiliency to change of the fundamental con cepts underlying the mathematical theory of networks and systems. The articles presented here are among those presented as plenary addresses, invited addresses and minisymposia presented at the 12th International Symposium on the Mathematical Theory of Networks and Systems, held in St. Louis, Missouri from June 24 - 28, 1996. Incorporating models and methods drawn from biology, computing, materials science and math ematics, these articles have been written by leading researchers who are on the vanguard of the development of systems, control and estimation for the next century, as evidenced by the application of new methodologies in distributed parameter systems, linear nonlinear systems and stochastic sys tems for solving problems in areas such as aircraft design, circuit simulation, imaging, speech synthesis and visionics.
Download or read book The Mathematical Theory of Linear Systems written by Basil Montgomery Brown and published by . This book was released on 1965 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Mathematical Systems Theory written by C. Heij and published by Birkhäuser. This book was released on 2007 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory of linear systems and control for students in business mathematics, econometrics, computer science, and engineering. The focus is on discrete time systems, which are the most relevant in business applications, as opposed to continuous time systems, requiring less mathematical preliminaries. The subjects treated are among the central topics of deterministic linear system theory: controllability, observability, realization theory, stability and stabilization by feedback, LQ-optimal control theory. Kalman filtering and LQC-control of stochastic systems are also discussed, as are modeling, time series analysis and model specification, along with model validation.
