The Stability and Control of Discrete Processes
Professor J. P. LaSalle died on July 7, 1983 at the age of 67. The present book is being published posthumously with the careful assistance of Kenneth Meyer, one of the students of Professor LaSalle. It is appropriate that the last publi cation of Professor LaSalle should be on a subject which con...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1986, 1986
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| Edition: | 1st ed. 1986 |
| Series: | Applied Mathematical Sciences
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 1. Introduction
- 2. Liapunov’s direct method
- 3. Linear systems x’ = Ax.
- 4. An algorithm for computing An.
- 5. A characterization of stable matrices. Computational criteria.
- 6. Liapunov’s characterization of stable matrices. A Liapunov function for x’ = Ax.
- 7. Stability by the linear approximation.
- 8. The general solution of x’ = Ax. The Jordan Canonical Form.
- 9. Higher order equations. The general solution of ?(z)y = 0.
- 10. Companion matrices. The equivalence of x’ = Ax and ?(z)y = 0.
- 11. Another algorithm for computing An.
- 12. Nonhomogeneous linear systems x’ = Ax + f(n). Variation of parameters and undetermined coefficients.
- 13. Forced oscillations.
- 14. Systems of higher order equations P(z)y = 0. The equivalence of polynomial matrices.
- 15. The control of linear systems. Controllability.
- 16. Stabilization by linear feedback. Pole assignment.
- 17. Minimum energy control. Minimal time-energy feedback control.
- 18. Observability. Observers. State estimation. Stabilization by dynamic feedback.
- References