44. Digraph approach to nonlinear systems and automated complex systems

Chapters in this book

1. Frontmatter I
2. Multivariable Control 1
3. Preface 5
4. Contents 8
5. Chapter 1. Digraph modelling of large-scale dynamic systems
6. 11. Mapping of state-space models into digraphs 11
7. 12. Structure matrices and their associated digraphs 17
8. 13. Appropriate state enumeration 20
9. 14. Structural controllability, structural observability, and structural completeness 30
10. 15. Do structural properties hold generically 44
11. Chapter 2. Digraph approach to controller synthesis based on static state feedback
12. 21. Pole placement by static state feedback 49
13. 22. Disturbance rejection 79
14. 23. Digraph approach to noninteraction controls 102
15. Chapter 3. Digraph approach to controller synthesis based on static output feedback
16. 31. Transfer function matrices and closed-loop characteristic polynomials in graph-theoretic terms 119
17. 32. Poles and zeros of multivariable systems 142
18. 33. Pole placement by static output feedback 175
19. Chapter 4. An outline for further exploitation of the graph-theoretic approach controller synthesis
20. 41. Static output feedback under structural constraints 214
21. 42. Dynamic controllers 224
22. 43. Semi-state system description 229
23. 44. Digraph approach to nonlinear systems and automated complex systems 235
24. Appendix
25. A1. Introduction to Graph theory 237
26. A2. Digraphs and determinants 247
27. References 263
28. Subject index 271
29. Backmatter 275