Pub. Date:
Springer New York
The Stability and Control of Discrete Processes / Edition 1

The Stability and Control of Discrete Processes / Edition 1

by J.P. LaSalle


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Product Details

ISBN-13: 9780387964119
Publisher: Springer New York
Publication date: 11/05/1986
Series: Applied Mathematical Sciences , #62
Edition description: Softcover reprint of the original 1st ed. 1986
Pages: 150
Product dimensions: 6.10(w) x 9.25(h) x 0.01(d)

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.

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