|Linear System Theory||
Linear System Theory
|197.00||approx. 7-9 days|
Appropriate for beginning graduate level courses on linear systems, graduate courses introducing linear control, and for self-study.
The basic theory of linear systems is developed in a unified, accessible, and careful manner, with parallel, independent treatment of continuous-time and discrete-time linear systems. Modest mathematical background is assumed, and the technical presentation is explicit and step-by-step. There are many examples to help the reader, and carefully chosen exercises. Includes extensive, annotated citations. The presentation has been repeatedly class tested and refined.
1. Mathematical Notation and Review.
2. State Equation Representation.
3. State Equation Solution.
4. Transition Matrix Properties.
5. Two Important Cases.
6. Internal Stability.
7. Lyapunov Stability Criteria.
8. Additional Stability Criteria.
9. Controllability and Observability.
11. Minimal Realization.
12. Input-Output Stability.
13. Controller and Observer Forms.
14. Linear Feedback.
15. State Observation.
16. Polynomial Fraction Description.
17. Polynomial Fraction Applications.
18. Geometric Theory.
19. Applications of Geometric Theory.
20. Discrete Time: State Equations.
21. Discrete Time: Two Important Cases.
22. Discrete Time: Internal Stability.
23. Discrete Time: Lyapunov Stability Criteria.
24. Discrete Time: Additional Stability Criteria.
25. Discrete Time: Reachability and Observability.
26. Discrete Time: Realization.
27. Discrete Time: Input-Output Stability.
28. Discrete Time: Linear Feedback.
29. Discrete Time: State Observation.