Analysis and Design of Descriptor Linear Systems

• Main Author: Duan, Guang-Ren. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Advances in Mechanics and Mathematics, 23
• Subjects: Mathematics.; Matrix theory.; Differentiable dynamical systems.; Differential Equations.; Vibration.; Linear and Multilinear Algebras, Matrix Theory.; Vibration, Dynamical Systems, Control.; Ordinary Differential Equations.; Dynamical Systems and Ergodic Theory.
• Online Access: View fulltext via EzAccess

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 des...

Table of Contents:

• 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.