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. Each chapter includes summaries, notes, references, and exercises at the end.

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. Fundamental results and topics essential to linear systems theory are emphasized.

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.

• 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 concise introduction to systems and control theory with an emphasis on time-invariant case for first-year grad students and senior undergraduates Three core chapters guide the reader to an excellent understanding of the dynamical behavior of systems Summaries, notes, references, and exercises at the end of each chapter; Solutions Manual available to instructors upon adoption of the text Based on a streamlined presentation of the authors' successful work Linear Systems May be used as a textbook in a typical one-semester introductory course on systems and control for first-year graduate and senior undergraduate students Also for a broad audience of electrical, mechanical, chemical, and aerospace engineers, applied mathematicians, and researchers in control communications, and signal processing Request lecturer material: sn.pub/lecturer-material

Inhalt
System Models, Differential Equations, and Initial-Value Problems.- An Introduction to State-Space and InputOutput Descriptions of Systems.- Response of Continuous- and Discrete-Time Systems.- Stability.- Controllability and Observability: Fundamental Results.- Controllability and Observability: Special Forms.- Internal and External Descriptions: Relations and Properties.- Realization Theory and Algorithms.- State Feedback and State Observers.- Feedback Control Systems.