Analysis and Design of Descriptor Linear Systems

ISBN-13: 9781461426844 / Angielski / Miękka / 2012 / 496 str.

Guang-Ren Duan

Opis

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.

Recenzje

From the reviews:

"This book deals with the analysis and design of descriptor linear systems, which are no doubt of interest to practitioners and theoreticians. ... The authors present 11 chapters on continuous-time descriptor linear systems. They cite 319 representative references related to the main topics of descriptor systems. All chapters end with some notes and references, useful for the reader's understanding of this book, which contains almost 500 pages. ... This book ends with three useful appendices, which detail some basic mathematical results." (Marco Henrique Terra, Mathematical Reviews, Issue 2011 m)

Spis treści

Preface, xiii.- List of Notations, xvii.- 1 Introduction, 1.- Part I Descriptor Linear Systems Analysis.- 2 Equivalence and Solutions of Descriptor Linear Systems, 35.- 3 Regular Descriptor Linear Systems, 57.- 4 Controllability and Observability, 121.- Part II Descriptor Linear Systems Design.- 5 Regularization of Descriptor Linear Systems, 201.- 6 Dynamical Order Assignment and Normalization, 229.- 7 Impulse Elimination, 267.- 8 Pole Assignment and Stabilization, 309.- 9 Eigenstructure Assignment, 341.- 10 Optimal Control, 375.- 11 Observer Design, 395.- Part III Appendices.- A Some Mathematical Results, 435.- B Rank-constrained Matrix Matching and Least Square Problems, 457.- C Generalized Sylvester Matrix Equations, 471.- Bibliography, 483.- Index, 503.

Blurb

Descriptor linear systems is an important and rich part of the general field of control systems theory. This book provides a systematic development of descriptor linear systems covering two aspects --- analysis and design. The text provides thorough introductions to the theory of continuous-time descriptor linear systems and to the basic results and recent advances in descriptor linear systems theory. Key features of Analysis and Design of Descriptor Linear Systems: • Introduces real-world examples of descriptor linear systems • Provides step-by-step algorithms for important analysis and design problems • Covers both basic and advanced results in the literature of continuous-time descriptor linear systems • Includes three appendices which supply additional relevant materials supporting the content of select chapters in the book The clear presentation of materials and extensive examples make this book easy to understand by a wide audience and therefore general readers will find this book to be a comprehensive introduction to the theory of descriptor linear systems. Researchers will find a comprehensive description of the most recent results in this theory and students will find a solid introduction and overview to some important problems in linear systems theory.