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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.

Analysis and Design of Descriptor Linear Systems

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.