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Abstrakty
Discrete nonlinear systems are considered. Inspired by what was done in (Banks et al., 1996) and (Hong et al., 1994), we develop some sufficient conditions which assure the stability of discrete-time nonlinear varying systems. The problem for discrete delayed systems is also considered.
Czasopismo
Rocznik
Tom
Strony
125--140
Opis fizyczny
Bibliogr. 13 poz., wzory
Twórcy
autor
- Department de Mathematiques et Informatique, Faculte des Sciences Ben M'sik, Casablanca, Morocco
autor
- Department de Mathematiques et Informatique, Faculte des Sciences Ben M'sik, Casablanca, Morocco
autor
- Department de Mathematiques et Informatique, Faculte des Sciences Ben M'sik, Casablanca, Morocco
Bibliografia
- [1] O. Arino: A note on the Discrete Lyapunov Function... Jornal of Differential Equations, 104(1), (1993), 169-181.
- [2] S. P. Banks, A. Moser, and D. McCaffrey: Robust exponential stability of evolution equations. Archives of Control Sciences, 4(3-4), (1995), 261-279.
- [3] L. Dugard and E. I. Verriest: Stability and control of time-delay systems. Lecture Notes in Cont. Inf. Sci., Springer Verlag, 228 (1997), 218-240.
- [4] R. G. Faradzdzhev, Phat Vu Ngoc and A. V. Shapiro: Controllability theory of discrete dynamic systems. Trenslated from Avtomatik; Telemechanik, 1 (1986), 5-24.
- [5] D. Hinrichsen, D. Salamon, A. J. Pritchard and P. E. Crouch: Introduction to mathematical system theory. Lecture Notes for a joint course at the universities of Warwick and Bremen.
- [6] K. S. Hong, J. W. Wu and K. I. Lee: New condition for the exponential stability of evolution equation. IEEE Trans. Automatic Control, 39 (1994), 1432-1436.
- [7] J. Karrakchou and M. Rachik; Optimal control of discrete distributed systems with delays in the control: the finite horizon case. Archives of Control Sciences, 4(1-2), (1995), 37-53.
- [8] F. Lahmidi. A. Namir, M. Rachik and J. Karrakchou: Stabilizability and compensator design for discrete-times delay systems in Hilbert spaces. Int. J. Syst. Sci., 30(3), (1999), 331-342.
- [9] R. May: Stability and complexity in model ecosystems. Princeton University Press, Princeton, NJ, 1973.
- [10] K. Negoya: Applying system theory to control problems. Russian translation, Mir, Moscov, 1981.
- [11] V. I. Opoitsev: Stability of nonautonomous systems. Autom. Telemekh., 10 (1986), 53-58.
- [12] S. Sastry: Nonlinear systems: Analysis, stability and control. Interdisciplinary Applied Mathematics. Springer. 10 (1999).
- [13] W. J. Rugh: Linear system theory. 2nd ed. Prentice-Hall Information and System Sciences Series, NJ, 1996.
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BSW9-0007-1319