Observability and controllability of general linear systems.

✍ Scribed by LYUBOMIR T. GRUYITCH

• Publisher: CRC Press
• Year: 2018
• Tongue: English
• Leaves: 351
• Category: Library

✦ Table of Contents

Cover
Half Title
Title
Copyright
Contents
Preface
Part I SYSTEM CLASSES
Chapter 1 Introduction
1.1 Time
1.2 Notational preliminaries
1.3 Compact, simple, and elegant calculus
1.4 System behavior
1.5 Control
Chapter 2 IO systems
2.1 IO system mathematical model
2.1.1 Time domain
2.1.2 Complex domain
2.2 IO plant desired regime
2.3 Exercises
CHapter 3 ISO systems
3.1 ISO system mathematical model
3.1.1 Time domain
3.1.2 Complex domain
3.2 ISO plant desired regime
3.3 Exercises
Chapter 4 EISO systems
4.1 EISO system mathematical model
4.1.1 Time domain
4.1.2 Complex domain
4.2 EISO plant desired regime
4.3 Exercises
Chapter 5 HISO systems
5.1 HISO system mathematical model
5.1.1 Time domain
5.1.2 Complex domain
5.2 The HISO plant desired regime
5.3 Exercises
Chapter 6 IIO systems
6.1 IIO system mathematical model
6.1.1 Time domain
6.1.2 Complex domain
6.2 IIO plant desired regime
6.3 Exercises
Part II OBSERVABILITY
Chapter 7 Mathematical preliminaries
7.1 Linear independence and matrices
7.2 Matrix range, null space, and rank
7.3 Linear independence and scalar functions
7.4 Linear independence and matrix functions
7.5 Polynomial matrices. Matrix polynomials
7.6 Rational matrices
Chapter 8 Observability and stability
8.1 Observability and system regime
8.2 Observability denition in general
8.3 Observability criterion in general
8.4 Observability and stability
8.4.1 System stability
8.4.2 System stability and observability
Chapter 9 Various systems observability
9.1 IO systems observability
9.2 ISO systems observability
9.3 EISO systems observability
9.4 HISO systems observability
9.5 IIO systems observability
Part III CONTROLLABILITY
Chapter 10 Controllability fundamentals
10.1 Controllability and system regime
10.2 Controllability concepts
10.3 Controllability denitions in general
10.4 General state controllability criteria
10.5 General output controllability criteria
Chapter 11 Various systems controllability
11.1 IO system state controllability
11.1.1 Definition
11.1.2 Criteria
11.2 IO system output controllability
11.2.1 Definition
11.2.2 Criteria
11.3 ISO system state controllability
11.3.1 Definition
11.3.2 Criterion
11.4 ISO system output controllability
11.4.1 Definition
11.4.2 Criteria
11.5 EISO system state controllability
11.5.1 Definition
11.5.2 Criterion
11.6 EISO system output controllability
11.6.1 Definition
11.6.2 Criteria
11.7 HISO system state controllability
11.7.1 Definition
11.7.2 Criterion
11.8 HISO system output controllability
11.8.1 Definition
11.8.2 Criteria
11.9 IIO system state controllability
11.9.1 Definition
11.9.2 Criterion
11.10 IIO system output controllability
11.10.1 Definition
11.10.2 Criteria
Part IV APPENDIX
Appendix A Notation
A.1 Abbreviations
A.2 Indexes
A.2.1 SUBSCRIPTS
A.2.2 SUPERSCRIPT
A.3 Letters
A.3.1 CALLIGRAPHIC LETTERS
A.3.2 FRAKTUR LETTERS
A.3.3 GREEK LETTERS
A.3.4 ROMAN LETTERS
A.4 Name
A.5 Symbols, vectors, sets and matrices
A.6 Units
Appendix B Example
B.1 IO system example
Appendix C Transformations
C.1 Transformation of IO into ISO system
C.2 ISO and EISO forms of IIO system
Appendix D Proofs
D.1 Proof of Lemma 97
D.2 Proof of Theorem 110
D.3 Proof of Theorem 121
D.4 Proof of Theorem 128
D.5 Proof of Theorem 130
D.6 Proof of Theorem 141
D.7 Proof of Theorem 147
D.8 Proof of Theorem 148
D.9 Proof of Theorem 149
D.10 Proof of Theorem 161
D.11 Proof of Theorem 163
D.12 Proof of Theorem 173
D.13 Proof of Theorem 181
D.14 Proof of Theorem 185
D.15 Proof of Theorem 215
Part V INDEX
Author Index
Subject Index