A Linear Systems Primer

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. The material presented is broad enough to give the reader a clear picture of the dynamical behavior of linear systems as well as their advantages and limitations. Fundamental results and topics essential to linear systems theory are emphasized. The emphasis is on time-invariant systems, both continuous- and discrete-time. 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.

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. The Material Presented Is Broad Enough To Give The Reader A Clear Picture Of The Dynamical Behavior Of Linear Systems As Well As Their Advantages And Limitations. Fundamental Results And Topics Essential To Linear Systems Theory Are Emphasized. The Emphasis Is On Time-invariant Systems, Both Continuous- And Discrete-time.

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.

'...A comprehensive, complete and clear exposition that serves as an excellent foundation for more advanced topics in system theory and control.'- IEEE Transactions on Automatic Control'[The authors] have contributed an expertly written and high quality textbook...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. "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. The material presented is broad enough to give the reader a clear picture of the dynamical behavior of linear systems as well as their advantages and limitations. Fundamental results and topics essential to linear systems theory are emphasized. The emphasis is on time-invariant systems, both continuous- and discrete-time." "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."--Jacket 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.