Designed for the graduate-level course, Linear Systems is thorough in both its depth and breadth of coverage. This text provides an introduction to systems theory with an emphasis on control theory. Its strong foundation in analysis and algebra enables the reader to easily move on to advanced topics in the systems area.

Linear Systems

Antsaklis, Panos J.

Michel, Anthony N.

Computers & Technology

Mcgraw-Hill College

This three-part monograph addresses topics in the areas of control systems, signal processing and neural networks. Procedures and results are determined which constitute the first successful synthesis procedure for associative memories by means of artificial neural networks with arbitrarily pre-specified full or partial interconnecting structure and with or without symmetry constraints for the connection matrix.

Dynamical Systems With Saturation Nonlinearities: Analysis and Design (Lecture Notes in Control & Information Sciences)

Science & Math

Liu, Derong

Mathematics

Springer, Verlag

Geared toward advanced undergraduates and graduate students in mathematics, engineering, and the sciences, this self-contained treatment is appropriate for a course in nonlinear system analysis. Its highlight is a scholarly treatment of the stability of dynamical systems, including the absolute stability problem. Acclaimed by IEEE Control Systems Magazine as "a welcome addition" to books in the field of nonlinear control systems, the text opens with the modeling of a number of electrical, mechanical, and electromechanical systems, which provide the setting for later analysis. Subsequent chapters review results regarding the existence and uniqueness of solutions of ordinary differential equations; matrix analysis of the linear system of differential equations; and boundary value problems. The rest of the book is devoted chiefly to the stability of nonlinear systems, including issues of stability related to perturbations; periodic solutions of two-dimensional systems and the Poincaré-Bendixson theorem; and the stability of the equilibrium point. Each chapter is complemented with a series of well-chosen problems.

Ordinary Differential Equations (Dover Books on Mathematics)

MATHEMATICS

Miller, Richard K.

Dover Publications

"The treatment is thorough; the book will certainly serve as a valuable reference." — American Scientist. Written for graduate and advanced undergraduate students in engineering and science, this book focuses primarily on set theory, algebra, and analysis. Useful both for self-study and as a reference, the text provides the readers with appropriate mathematical background for advanced study in engineering or science, a basis for more advanced mathematical study, and an overview of modern mathematics. The book is essentially divided into three parts: set theory (Chapter 1), algebra (Chapters 2‒4), and analysis (Chapters 5‒7). The first two chapters deal with the fundamental concepts of sets, functions, relations, and equivalence relations, and algebraic structures. Chapters 3 and 4 cover vector spaces and linear transformations, and finite-dimensional vector spaces and matrices. The last three chapters investigate metric spaces, normed spaces (Banach spaces) and inner product spaces (Hilbert spaces), and linear operators. A generous number of exercises have been integrated into the text and a section of references and notes is found at the end of each chapter. 1981 edition.

Applied Algebra and Functional Analysis (Dover Books on Mathematics)

Herget, Charles J.

"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.

Reference

Birkhauser

Written for graduate and advanced undergraduate students in engineering and science, this classic book focuses primarily on set theory, algebra, and analysis. Useful as a course textbook, for self-study, or as a reference, the work is intended to familiarize engineering and science students with a great deal of pertinent and applicable mathematics in a rapid and efficient manner without sacrificing rigor. The book is divided into three parts: set theory, algebra, and analysis. It offers a generous number of exercises integrated into the text and features applications of algebra and analysis that have a broad appeal.

Algebra and Analysis for Engineers and Scientists

The second edition of this textbook provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems. For these system models, it presents results which comprise the classical Lyapunov stability theory involving monotonic Lyapunov functions, as well as corresponding contemporary stability results involving non-monotonic Lyapunov functions. Specific examples from several diverse areas are given to demonstrate the applicability of the developed theory to many important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, and artificial neural networks.
 The authors cover the following four general topics:
 - Representation and modeling of dynamical systems of the types described above
- Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces involving monotonic and non-monotonic Lyapunov functions
- Specialization of this stability theory to finite-dimensional dynamical systems 
- Specialization of this stability theory to infinite-dimensional dynamical systems
Replete with examples and requiring only a basic knowledge of linear algebra, analysis, and differential equations, this book can be used as a textbook for graduate courses in stability theory of dynamical systems. It may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, economics, and the physical and life sciences.
Review of the First Edition:
“The authors have done an excellent job maintaining the rigor of the presentation, and in providing standalone statements for diverse types of systems. [This] is a very interesting book which complements the existing literature. [It] is clearly written, and difficult concepts are illustrated by means of good examples.” 
- Alessandro Astolfi, IEEE Control Systems Magazine, February 2009

Stability of Dynamical Systems: On the Role of Monotonic and Non-Monotonic Lyapunov Functions (Systems & Control: Foundations & Applications)

Hou, Ling

Springer

The second edition of this textbook &nbsp;provides a single source for the analysis of system models represented by continuous-time and discrete-time, finite-dimensional and infinite-dimensional, and continuous and discontinuous dynamical systems.&nbsp; For these system models, it presents results which comprise the classical Lyapunov stability theory involving monotonic Lyapunov functions, as well as corresponding contemporary stability results involving non-monotonic Lyapunov functions.&nbsp; Specific examples from several diverse areas are given to demonstrate the applicability of the developed theory to many important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, and artificial neural networks. &nbsp;The authors cover the following four general topics: &nbsp;-&nbsp;Representation and modeling of dynamical systems of the types described above -&nbsp;Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces involving monotonic and non-monotonic Lyapunov functions -&nbsp;Specialization of this stability theory to finite-dimensional dynamical systems -&nbsp;Specialization of this stability theory to infinite-dimensional dynamical systems Replete with examples and requiring only a basic knowledge of linear algebra, analysis, and differential equations, this book can be used as a textbook for graduate courses in stability theory of dynamical systems.&nbsp; It may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, economics, and the physical and life sciences. Review of the First Edition: "The authors have done an excellent job maintaining the rigor of the presentation, and in providing standalone statements for diverse types of systems.&nbsp; [This] is a very interesting book which complements the existing literature. [It] is clearly written, and difficult concepts are illustrated by means of good examples." - Alessandro Astolfi, IEEE Control Systems Magazine, February 2009

See the best price to sell, buy, or rent books by Michel, Anthony N.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Books by Michel, Anthony N.

See the best price to sell, buy, or rent books by Michel, Anthony N.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

Linear Systems

Dynamical Systems With Saturation Nonlinearities: Analysis and Design (Lecture Notes in Control & Information Sciences)

Ordinary Differential Equations (Dover Books on Mathematics)

Applied Algebra and Functional Analysis (Dover Books on Mathematics)

Linear Systems

Algebra and Analysis for Engineers and Scientists

Stability of Dynamical Systems: On the Role of Monotonic and Non-Monotonic Lyapunov Functions (Systems & Control: Foundations & Applications)

Stability of Dynamical Systems: On the Role of Monotonic and Non-Monotonic Lyapunov Functions (Systems & Control: Foundations & Applications)