The Stability and Control of Discrete Processes: 62 - Brossura

Lasalle, J.P.

 
9780387964119: The Stability and Control of Discrete Processes: 62
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ISBN 10: 0387964118 ISBN 13: 9780387964119
Casa editrice: Springer, 2013

Sinossi

In addition to making many significant contributions at the research level to differential equations and control theory, he was an excel­ lent teacher and had the ability to make sophisticated con­ cepts appear to be very elementary. Linear systems Xl = Ax. A Liapunov function for Xl = Ax. The general solution of Xl = Ax.

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Contenuti

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.

Product Description

Book by LaSalle JP

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Editore
Springer
Data di pubblicazione
2013
Lingua
Inglese
ISBN 10 
0387964118
ISBN 13 
9780387964119
Rilegatura
Copertina flessibile
Numero di pagine
164
Contatto del produttore
non disponibile
Persona responsabile
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Altre edizioni note dello stesso titolo

9783540964117: The Stability and Control of Discrete Processes

Edizione in evidenza

ISBN 10:  3540964118 ISBN 13:  9783540964117
Casa editrice: Springer-Verlag Berlin and Heide..., 1986
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