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Analysis and Design of Descriptor Linear Systems / by Guang-Ren Duan
Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Advances in Mechanics and Mathematics ; 23 | SpringerLink BücherPublisher: New York, NY : Springer Science+Business Media, LLC, 2010Description: Online-Ressource (XX, 496 p, digital)ISBN:- 9781441963970
- 1280391359
- 9781280391354
- 512.5
- 629.832
- 515.39 23
- 515.48 23
- 003/.74 22
- 510
- QA184-205
- QA402.3
Contents:
Summary: Descriptor Linear Systems Analysis -- Equivalence and Solutions of Descriptor Linear Systems -- Regular Descriptor Linear Systems -- Controllability and Observability -- Descriptor Linear Systems Design -- Regularization of Descriptor Linear Systems -- Dynamical Order Assignment and Normalization -- Impulse Elimination -- Pole Assignment and Stabilization -- Eigenstructure Assignment -- Optimal Control -- Observer Design -- Appendices -- Some Mathematical Results -- Rank-Constrained Matrix Matching and Least Square Problems -- Generalized Sylvester Matrix Equations.Summary: 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.PPN: PPN: 1650244665Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA
""Analysis and Design of Descriptor Linear Systems""; ""Preface""; ""Contents ""; ""List of Notation""; ""1 Introduction""; ""1.1 Models for Descriptor Systems""; ""1.1.1 State Space Representation""; ""1.1.2 Time-Invariant Descriptor Linear Systems""; ""1.2 Examples of Descriptor Linear Systems""; ""1.2.1 Electrical Circuit Systems""; ""1.2.2 Large-Scale Systems with Interconnections""; ""1.2.3 Constrained Mechanical Systems""; ""1.2.4 Robotic System�A Three-Link Planar Manipulator""; ""1.3 Problems for Descriptor Linear Systems Analysis and Design""
""1.3.1 Feedback in Descriptor Linear Systems""""1.3.2 Problems for Descriptor Linear Systems Analysis""; ""1.3.3 Problems for Descriptor Linear Systems Design""; ""1.4 Overview of the Book""; ""1.5 Notes and References""; ""Part I Descriptor Linear Systems Analysis""; ""2 Equivalence and Solutions of Descriptor Linear Systems""; ""2.1 Restricted System Equivalence""; ""2.1.1 The Definition""; ""2.1.2 Common Properties""; ""2.2 Canonical Equivalent Forms""; ""2.2.1 Dynamics Decomposition Form""; ""2.2.2 The Kronecker Form""; ""2.2.3 Canonical Equivalent Forms for Derivative Feedback""
""2.3 Solutions of Descriptor Linear Systems""""2.3.1 System Decomposition Based on the Kronecker Form""; ""2.3.2 Solution to the Basic Types of Equations""; ""2.4 Notes and References""; ""3 Regular Descriptor Linear Systems""; ""3.1 Regularity of Descriptor Linear Systems""; ""3.1.1 The Definition and Its Relation with Solutions""; ""3.1.2 Criteria for Regularity""; ""3.2 Equivalence of Regular Descriptor Linear Systems""; ""3.2.1 Standard Decomposition Form""; ""3.2.2 The Inverse Form ""; ""3.3 Transfer Function Matrices""; ""3.3.1 The Definition""; ""3.3.2 Properties""
""3.4 State Responses of Regular Descriptor Linear Systems: Distributional Solutions""""3.4.1 Solutions of Slow and Fast Subsystems""; ""3.4.2 The Distributional Solutions""; ""3.4.3 Examples""; ""3.5 State Responses of Regular Descriptor Linear Systems: Classical Solutions""; ""3.5.1 Consistency""; ""3.5.2 The Classical Solutions""; ""3.5.3 The Example""; ""3.6 Generalized Eigenvalues and Eigenvectors""; ""3.6.1 Finite Eigenvalues and Eigenvectors""; ""3.6.2 Infinite Eigenvalues and Eigenvectors""; ""3.7 Eigenstructure Decomposition with Relation to Standard Decomposition""
""3.7.1 Eigenstructure Decomposition""""3.7.2 Relation with Standard Decomposition""; ""3.7.3 The Deflating Subspaces""; ""3.8 Stability""; ""3.8.1 The Definition""; ""3.8.2 The Direct Criterion""; ""3.8.3 Criterion via Lyapunov Equation""; ""3.8.4 Examples""; ""3.9 Admissibility: Stability plus Impulse-Freeness""; ""3.9.1 The Definition""; ""3.9.2 The Criterion""; ""3.9.3 The Example""; ""3.10 Notes and References""; ""4 Controllability and Observability""; ""4.1 State Reachable Subsets""; ""4.1.1 The Definition""; ""4.1.2 Characterization of Rt[ 0] and Rt""; ""4.1.3 Two Examples""
""4.2 Controllability""
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