Key features and topics:
* Notes, references, exercises, and a summary and highlights section at the end of each chapter.
* Comprehensive index and answers to selected exercises at the end of the book.
* Necessary mathematical background material included in an appendix.
* Helpful guidelines for the reader in the preface.
* Three core chapters guiding the reader to an excellent understanding of the dynamical behavior of systems.
* Detailed coverage of internal and external system descriptions, including state variable, impulse response and transfer function, polynomial matrix, and fractional representations.
* Explanation of stability, controllability, observability, and realizations with an emphasis on fundamental results.
* Detailed discussion of state-feedback, state-estimation, and eigenvalue assignment.
* Emphasis on time-invariant systems, both continuous- and discrete-time. For full coverage of time-variant systems, the reader is encouraged to refer to the companion book Linear Systems, which contains more detailed descriptions and additional material, including all the proofs of the results presented here.
* Solutions manual available to instructors upon adoption of the text.
A Linear Systems Primer is geared towards first-year graduate and senior undergraduate students in a typical one-semester introductory course on systems and control. It may also serve as an excellent reference or self-study guide for electrical, mechanical, chemical, and aerospace engineers, applied mathematicians, and researchers working in control, communications, and signal processing.
Also by the authors: Linear Systems, ISBN 978-0-8176-4434-5.
"In assessing the present book as a potential textbook for our first graduate linear systems course, I find...[that] Antsaklis and Michel have contributed an expertly written and high quality textbook to the field and are to be congratulated.... Because of its mathematical sophistication and completeness the present book is highly recommended for use, both as a textbook as well as a reference." —Automatica
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.
The book examines the fundamental properties that govern the behavior of systems by developing their mathematical descriptions. Linear time-invariant, time-varying, continuous-time, and discrete-time systems are covered. Rigorous development of classic and contemporary topics in linear systems, as well as extensive coverage of stability and polynomial matrix/fractional representation, provide the necessary foundation for further study of systems and control.
Linear Systems is written as a textbook 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, see the authors’ companion book entitled A Linear Systems Primer.
The book begins with a detailed description of the basic MB-NCS architecture that provides stability conditions in terms of state feedback updates. It also covers typical problems in NCS such as network delays, network scheduling, and data quantization, as well as more general control problems such as output feedback control, nonlinear systems stabilization, and tracking control.
Key features and topics include:Time-triggered and event-triggered feedback updatesStabilization of uncertain systems subject to time delays, quantization, and extended absence of feedbackOptimal control analysis and design of model-based networked systemsParameter identification and adaptive stabilization of systems controlled over networksThe MB-NCS approach to decentralized control of distributed systems
Model-Based Control of Networked Systems will appeal to researchers, practitioners, and graduate students interested in the control of networked systems, distributed systems, and systems with limited feedback.
Highlighting recent progress in the design of supervisors by structural methods, the book represents a novel contribution to the field. One of the main features of the presentation is the demonstration that structural methods can address a variety of supervisor specifications under diverse supervision settings.
Additional features of the text:
* Applications of the methods presented are emphasized by considering various concurrency assumptions as well as types of system uncontrollability and unobservability.
* Treatment of the supervision problem for decentralized settings and hybrid dynamical systems.
* A focus on both theory and practice: formal proofs are provided in a sound mathematical setting to guarantee performance and correctness; at the same time, the authors have worked out the relevant details to ensure the methods are ready to implement in software.
* Many of the presented methods have been realized in software as functions of a MATLAB toolbox, which have been used to solve many of the examples of the book.
The work is self-contained and includes necessary background on Petri nets and supervision. Requiring only basic knowledge of undergraduate-level discrete mathematics, the text is accessible to a broad audience. Researchers and developers from various engineering fields may find effective means to reduce the complexity of design problems in the discrete-event setting. Graduate students may use the work as a self-study reference, and portions of the text may be used in advanced courses on discrete-event systems.