Linear Systems

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A Linear Systems Primer

Author : Panos J. Antsaklis
ISBN : 0817646612
Genre : Technology & Engineering
File Size : 81.75 MB
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Based on a streamlined presentation of the authors’ successful work Linear Systems, this textbook provides an introduction to systems theory with an emphasis on control. Initial chapters present necessary mathematical background material for a fundamental understanding of the dynamical behavior of systems. Each chapter includes helpful chapter descriptions and guidelines for the reader, as well as summaries, notes, references, and exercises at the end. The emphasis throughout is on time-invariant systems, both continuous- and discrete-time.
Category: Technology & Engineering

Linear Systems Analysis

Author : A N Tripathi
ISBN : 8122411649
Genre : Linear systems
File Size : 67.59 MB
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This Book Is Designed To Serve As A Textbook For A First Course In Linear Systems Analysis, Which Is Usually Offered At The Second Year Level Of The B.Tech. Programme. It Is Primarily Addressed To The Students Of Electrical, Electronics And Computer Engineering But Could As Well Serve The Needs Of Students From Other Areas.The Course Material Is Well Tried For Over Two Decades Of Class Room Teaching. The Main Emphasis Is On Developing Conceptual Understanding Of The Modelling Process Of Physical Systems And The Different Techniques For Their Analysis. Efforts Have Been Made To Interpret Mathematical Results In Terms Of Their Engineering Significance. The Exercises Challenge The Students To Develop Their Analytical Skills By Exploring New Areas.
Category: Linear systems

Linear Systems And Control

Author : Martin J. Corless
ISBN : 0203911377
Genre : Mathematics
File Size : 88.67 MB
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Based largely on state space models, this text/reference utilizes fundamental linear algebra and operator techniques to develop classical and modern results in linear systems analysis and control design. It presents stability and performance results for linear systems, provides a geometric perspective on controllability and observability, and develops state space realizations of transfer functions. It also studies stabilizability and detectability, constructs state feedback controllers and asymptotic state estimators, covers the linear quadratic regulator problem in detail, introduces H-infinity control, and presents results on Hamiltonian matrices and Riccati equations.
Category: Mathematics

Linear Systems

Author : Panos J. Antsaklis
ISBN : 9780817644352
Genre : Technology & Engineering
File Size : 55.35 MB
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"There are three words that characterize this work: thoroughness, completeness and clarity. The authors are congratulated for taking the time to write an excellent linear systems textbook!" —IEEE Transactions on Automatic Control Linear systems theory plays a broad and fundamental role in electrical, mechanical, chemical and aerospace engineering, communications, and signal processing. A thorough introduction to systems theory with emphasis on control is presented in this self-contained textbook, written for a challenging one-semester graduate course. A solutions manual is available to instructors upon adoption of the text. The book’s flexible coverage and self-contained presentation also make it an excellent reference guide or self-study manual. For a treatment of linear systems that focuses primarily on the time-invariant case using streamlined presentation of the material with less formal and more intuitive proofs, please see the authors’ companion book entitled A Linear Systems Primer.
Category: Technology & Engineering

Linear Systems Theory

Author : Ben M. Chen
ISBN : 0817637796
Genre : Science
File Size : 85.78 MB
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Includes MATLAB-based computational and design algorithms utilizing the "Linear Systems Toolkit." All results and case studies presented in both the continuous- and discrete-time settings.
Category: Science

Analysis And Design Of Descriptor Linear Systems

Author : Guang-Ren Duan
ISBN : 1441963979
Genre : Mathematics
File Size : 46.11 MB
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Descriptor linear systems theory is an important part in the general field of control systems theory, and has attracted much attention in the last two decades. In spite of the fact that descriptor linear systems theory has been a topic very rich in content, there have been only a few books on this topic. This book provides a systematic introduction to the theory of continuous-time descriptor linear systems and aims to provide a relatively systematic introduction to the basic results in descriptor linear systems theory. The clear representation of materials and a large number of examples make this book easy to understand by a large audience. General readers will find in this book a comprehensive introduction to the theory of descriptive linear systems. Researchers will find a comprehensive description of the most recent results in this theory and students will find a good introduction to some important problems in linear systems theory.
Category: Mathematics

Observers For Linear Systems

Author : John O'Reilly
ISBN : 0080959997
Genre : Mathematics
File Size : 66.3 MB
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My aim, in writing this monograph, has been to remedy this omission by presenting a comprehensive and unified theory of observers for continuous-time and discrete -time linear systems. The book is intended for post-graduate students and researchers specializing in control systems, now a core subject in a number of disciplines. Forming, as it does, a self-contained volume it should also be of service to control engineers primarily interested in applications, and to mathematicians with some exposure to control problems.
Category: Mathematics

Linear Systems Theory Second Edition

Author : Ferenc Szidarovszky
ISBN : 0849316871
Genre : Technology & Engineering
File Size : 77.61 MB
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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.
Category: Technology & Engineering

Discrete Time Markov Jump Linear Systems

Author : O.L.V. Costa
ISBN : 9781846280825
Genre : Mathematics
File Size : 42.99 MB
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This will be the most up-to-date book in the area (the closest competition was published in 1990) This book takes a new slant and is in discrete rather than continuous time
Category: Mathematics

State Observers For Linear Systems With Uncertainty

Author : S. K. Korovin
ISBN : 9783110218121
Genre : Mathematics
File Size : 22.24 MB
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"The monograph is devoted to the exposition of methods of synthesizing asymptotic observers for linear and some classes of bilinear dynamical systems under uncertainty. The authors of the book present classical results from the theory of observers, e.g., observability criteria and methods of synthesis of the Luenberger observers for fully determined systems. In addition, the developments in this field over the past 20 years are presented, e.g., methods of synthesis of observers for systems under uncertainty, methods of synthesis of functional observers (including those of minimal order), and canonical forms for observed systems. The results concern both continuous and discrete dynamical systems." --Book Jacket.
Category: Mathematics

Switched Linear Systems

Author : Zhendong Sun
ISBN : 9781846281310
Genre : Technology & Engineering
File Size : 38.45 MB
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Switched linear systems have enjoyed a particular growth in interest since the 1990s. The large amount of data and ideas thus generated have, until now, lacked a co-ordinating framework to focus them effectively on some of the fundamental issues such as the problems of robust stabilizing switching design, feedback stabilization and optimal switching. This deficiency is resolved by this book which features: nucleus of constructive design approaches based on canonical decomposition and forming a sound basis for the systematic treatment of secondary results; theoretical exploration and logical association of several independent but pivotal concerns in control design as they pertain to switched linear systems: controllability and observability, feedback stabilization, optimization and periodic switching; a reliable foundation for further theoretical research as well as design guidance for real life engineering applications through the integration of novel ideas, fresh insights and rigorous results.
Category: Technology & Engineering

Robust Control Of Linear Systems And Nonlinear Control

Author : M. A. Kaashoek
ISBN : 0817634703
Genre : Juvenile Nonfiction
File Size : 69.43 MB
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This volume is the second of the three volume publication containing the proceedings of the 1989 International Symposium on the Mathemat ical Theory of Networks and Systems (MTNS-89), which was held in Amsterdam, The Netherlands, June 19-23, 1989 The International Symposia MTNS focus attention on problems from system and control theory, circuit theory and signal processing, which, in general, require application of sophisticated mathematical tools, such as from function and operator theory, linear algebra and matrix theory, differential and algebraic geometry. The interaction between advanced mathematical methods and practical engineering problems of circuits, systems and control, which is typical for MTNS, turns out to be most effective and is, as these proceedings show, a continuing source of exciting advances. The second volume contains invited papers and a large selection of other symposium presentations in the vast area of robust and nonlinear control. Modern developments in robust control and H-infinity theory, for finite as well as for infinite dimensional systems, are presented. A large part of the volume is devoted to nonlinear control. Special atten tion is paid to problems in robotics. Also the general theory of nonlinear and infinite dimensional systems is discussed. A couple of papers deal with problems of stochastic control and filterina. vi Preface The titles of the two other volumes are: Realization and Modelling in System Theory (volume 1) and Signal Processing, Scattering and Operator Theory, and Numerical Methods (volume 3).
Category: Juvenile Nonfiction

Linear Systems

Author : Alok Sinha
ISBN : 9781420008883
Genre : Technology & Engineering
File Size : 44.23 MB
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Balancing rigorous theory with practical applications, Linear Systems: Optimal and Robust Control explains the concepts behind linear systems, optimal control, and robust control and illustrates these concepts with concrete examples and problems. Developed as a two-course book, this self-contained text first discusses linear systems, including controllability, observability, and matrix fraction description. Within this framework, the author develops the ideas of state feedback control and observers. He then examines optimal control, stochastic optimal control, and the lack of robustness of linear quadratic Gaussian (LQG) control. The book subsequently presents robust control techniques and derives H∞ control theory from the first principle, followed by a discussion of the sliding mode control of a linear system. In addition, it shows how a blend of sliding mode control and H∞ methods can enhance the robustness of a linear system. By learning the theories and algorithms as well as exploring the examples in Linear Systems: Optimal and Robust Control, students will be able to better understand and ultimately better manage engineering processes and systems.
Category: Technology & Engineering

Linear Systems

Author : S. P. Bhattacharyya
ISBN : 9788132216414
Genre : Technology & Engineering
File Size : 51.35 MB
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This brief presents recent results obtained on the analysis, synthesis and design of systems described by linear equations. It is well known that linear equations arise in most branches of science and engineering as well as social, biological and economic systems. The novelty of this approach is that no models of the system are assumed to be available, nor are they required. Instead, a few measurements made on the system can be processed strategically to directly extract design values that meet specifications without constructing a model of the system, implicitly or explicitly. These new concepts are illustrated by applying them to linear DC and AC circuits, mechanical, civil and hydraulic systems, signal flow block diagrams and control systems. These applications are preliminary and suggest many open problems. The results presented in this brief are the latest effort in this direction and the authors hope these will lead to attractive alternatives to model-based design of engineering and other systems.
Category: Technology & Engineering

Iterative Krylov Methods For Large Linear Systems

Author : H. A. van der Vorst
ISBN : 0521818281
Genre : Mathematics
File Size : 53.27 MB
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Overview of iterative solutions methods for systems of linear equations. For graduate students and researchers.
Category: Mathematics

Linear Systems

Author : Henri Bourlès
ISBN : 9781118619759
Genre : Technology & Engineering
File Size : 55.10 MB
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Linear systems have all the necessary elements (modeling, identification, analysis and control), from an educational point of view, to help us understand the discipline of automation and apply it efficiently. This book is progressive and organized in such a way that different levels of readership are possible. It is addressed both to beginners and those with a good understanding of automation wishing to enhance their knowledge on the subject. The theory is rigorously developed and illustrated by numerous examples which can be reproduced with the help of appropriate computation software. 60 exercises and their solutions are included to enable the readers to test and enhance their knowledge.
Category: Technology & Engineering

Linear Systems

Author : Guang-Hong Yang
ISBN : 9781466580367
Genre : Technology & Engineering
File Size : 82.74 MB
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Linear Systems: Non-Fragile Control and Filtering presents the latest research results and a systematic approach to designing non-fragile controllers and filters for linear systems. The authors combine the algebraic Riccati technique, the linear matrix inequality (LMI) technique, and the sensitivity analysis method to establish a set of new non-fragile (insensitive) control methods. This proposed method can optimize the closed-loop system performance and make the designed controllers or filters tolerant of coefficient variations in controller or filter gain matrices. A Systematic Approach to Designing Non-Fragile Controllers and Filters for Linear Systems The text begins with developments and main research methods in non-fragile control. It then systematically presents novel methods for non-fragile control and filtering of linear systems with respect to additive/multiplicative controller/filter gain uncertainties. The book introduces the algebraic Riccati equation technique to solve additive/multiplicative norm-bounded controller/filter gain uncertainty, and proposes a structured vertex separator to deal with the numerical problem resulting from interval-bounded coefficient variations. It also explains how to design insensitive controllers and filters in the framework of coefficient sensitivity theory. Throughout, the book includes numerical examples to demonstrate the effectiveness of the proposed design methods. More Effective Design Methods for Non-Fragile Controllers and Filters The design and analysis tools described will help readers to better understand and analyze parameter uncertainties and to design more effective non-fragile controllers and filters. Providing a coherent approach, this book is a valuable reference for researchers, graduate students, and anyone who wants to explore the area of non-fragile control and filtering.
Category: Technology & Engineering

Fractional Linear Systems And Electrical Circuits

Author : Tadeusz Kaczorek
ISBN : 9783319113616
Genre : Technology & Engineering
File Size : 38.6 MB
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This monograph covers some selected problems of positive and fractional electrical circuits composed of resistors, coils, capacitors and voltage (current) sources. The book consists of 8 chapters, 4 appendices and a list of references. Chapter 1 is devoted to fractional standard and positive continuous-time and discrete-time linear systems without and with delays. In chapter 2 the standard and positive fractional electrical circuits are considered and the fractional electrical circuits in transient states are analyzed. Descriptor linear electrical circuits and their properties are investigated in chapter 3, while chapter 4 is devoted to the stability of fractional standard and positive linear electrical circuits. The reachability, observability and reconstructability of fractional positive electrical circuits and their decoupling zeros are analyzed in chapter 5. The fractional linear electrical circuits with feedbacks are considered in chapter 6. In chapter 7 solutions of minimum energy control for standard and fractional systems with and without bounded inputs is presented. In chapter 8 the fractional continuous-time 2D linear systems described by the Roesser type models are investigated.
Category: Technology & Engineering