Contents
Dedication
Preface
0.1 On the state of the art
0.2 On the book
0.3 In gratitude
Part I BASIC TOPICS OF LINEAR CONTINUOUS-TIME
TIME-INVARIANT DYNAMICAL SYSTEMS
1 Introduction
1.1 Time
1.2 Time, physical principles, and systems
1.3 Time and system dynamics
1.4 Systems and complex domain
1.5 Notational preliminaries
2 Classes of systems
2.1 IO system
2.2 ISO systems
2.3 IIO systems
3 System Regimes
3.1 System regime meaning
3.2 System regimes and initial conditions
3.3 Forced and free regimes
3.4 Desired regime
3.5 Deviations and mathematical models
3.6 Stationary and nonstationary regimes
3.7 Equilibrium regime
4 Transfer function matrix G(s)
Part II FULL TRANSFER FUNCTION MATRIX F(S) AND
SYSTEM REALIZATION
5 Problem statement
6 Nondegenerate matrices
7 Definition of F(s)
7.1 Definition of F(s) in general
7.2 Definition of F(s) of the IO system
7.3 Definition of F(s) of the ISO system
7.4 Definition of F(s) of the IIO system
8 Determination of F(s)
8.1 F(s) of the IO system
8.2 F(s) of the ISO system
8.3 F(s) of the IIO system
8.4 Conclusion: Common general form of F(s)
9 Full block diagram algebra
9.1 Introduction
9.2 Parallel connection
9.3 Connection in series
9.4 Feedback connection
10 Physical meaning of F(s)
10.1 The IO system
10.2 The ISO system
10.3 The IIO system
11 System matrix and equivalence
11.1 System matrix of the IO system
11.2 System matrix of the ISO System
11.3 System matrix of the IIO system
12 Realizations of F(s)
12.1 Dynamical and least dimension of a system
12.2 On realization and minimal realization
12.3 Realizations of F(s) of IO systems
12.4 Realizations of F(s) of ISO systems
12.5 Realizations of F(s) of IIO systems
Part III STABILITY STUDY
13 Lyapunov stability
13.1 Lyapunov stability concept
13.2 Lyapunov stability definitions
13.3 Lyapunov method and theorems
13.4 Lyapunov stability conditions via F(s)
14 Bounded Input stability
14.1 BI stability and initial conditions
14.2 BI stability definitions
14.3 BI stability conditions
Part IV CONCLUSION
15 Motivation for the book
16 Summary of the contributions
17 Future teaching and research
Part V Appendices
A Notation
A.0.4 Abbreviations
A.0.5 Indexes
A.0.6 Letters
A.0.7 Names
A.0.8 Symbols and vectors
A.0.9 Units
B From IO system to ISO system
C From ISO system to IO system
D Relationships among system descriptions
E Laplace transforms and Dirac impulses
E.1 Laplace transforms
E.2 Dirac impulses
F Proof of Theorem 142
G Example: F(s) of a MIMO system
H Proof of Theorem 165
I Proof for Example 167
J Proof of Theorem 168
K Proof of Theorem 176
L Proof of Theorem 179
M Proof of Theorem 183
Author Index
Subject Index
Biography
Lyubomir T. Gruyitch is Certified Mechanical Engineer (Dipl. M. Eng.), Master of Electrical Engineering Sciences (M. E. E. Sc.), and Doctor of Engineering Sciences (D. Sc.) (all with the University of Belgrade -UB, Serbia). Dr. Gruyitch was a leading contributor to the creation of the research Laboratory of Automatic Control, Mechatronics, Manufacturing Engineering and Systems Engineering of the National School of Engineers (Belfort, France), and a founder of the educational division and research Laboratory of Automatic Control of the Faculty of Mechanical Engineering, UB . He has given invited university seminars in Belgium, Canada, England, France, Russia, Serbia, Tunis, and USA. He has published 8 books (7 in English, 1 in Serb), 4 textbooks (in Serbo-Croatian), 11 lecture notes (7 in French, 2 in English, 2 in Serbo-Croatian), one manual of solved problems, one book translation from Russian, chapters in eight scientific books, 130 scientific papers in scientific journals, 173 conference research papers, and 2 educational papers. France honored him Doctor Honoris Causa (DHC).
