Author | LaSalle, J. P. author |
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Title | The Stability and Control of Discrete Processes [electronic resource] / by J. P. LaSalle |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1986 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1076-4 |
Descript | VIII, 150 p. online resource |
1. Introduction -- 2. Liapunovโs direct method -- 3. Linear systems xโ = Ax. -- 4. An algorithm for computing An. -- 5. A characterization of stable matrices. Computational criteria. -- 6. Liapunovโs characterization of stable matrices. A Liapunov function for xโ = Ax. -- 7. Stability by the linear approximation. -- 8. The general solution of xโ = Ax. The Jordan Canonical Form. -- 9. Higher order equations. The general solution of ?(z)y = 0. -- 10. Companion matrices. The equivalence of xโ = Ax and ?(z)y = 0. -- 11. Another algorithm for computing An. -- 12. Nonhomogeneous linear systems xโ = 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