Robust Stability of Time-Variant Discrete-Time Systems with Bounded Parameter Perturbations

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 42, Issue 1, 1995, Pages 40-45

  Mansour, Mohamed ^a  

^a UNIVERSITY OF MIAMI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENCE EQUATIONS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PARAMETER ESTIMATION; ROBUSTNESS (CONTROL SYSTEMS); SYSTEM STABILITY; TIME VARYING SYSTEMS;

BOUNDED PARAMETER PERTURBATIONS; GLOBAL ASYMPTOTIC STABILITY; PARAMETER UNCERTAINTIES; TIME VARIANT DISCRETE TIME SYSTEMS; UNCERTAIN PARAMETERS;

DISCRETE TIME CONTROL SYSTEMS;

EID: 0029209767     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.350798     Document Type: Article

References (15)

1. V. L. Kharitonov, “Asymptotic stability of an equilibrium position of a family of systems of linear differential equations,” Differential'nye Uravneniya, vol. 14, pp. 1483–1485, 1979.
2. M. Mansour, S. Balemi, and W. Truol, Eds., Robustness of Dynamic Systems with Parameter Uncertainties. Berlin: Birkhauser, 1992.
3. E. I. Jury, “Robustness of a discrete system,” Automatikha i Tele-mechanika, vol. 51, no. 5, part 1, pp. 3–28, May 1990 (in Russian); also in Automat. Remote Control, pp. 571–592, Oct. 10, 1990 (in English).
4. C. A. Desoer, “Slowly varying discrete systems Xi+i = Aixi)” Electron. Lett., vol. 6, pp. 339–340, 1970.
5. T. Mori, N. Fukuma, and M. Kuwahara, “A stability criterion for linear time-varying systems,” Int. J. Control, vol. 34, pp. 585–591, 1981.
6. E. W. Kamen, “The poles and zeros of a linear time-varying system,” Linear Algebra and Its Applications, vol. 98, pp. 263–289, 1988.
7. J.-H. Su and I.-K. Fong, “New robust stability bounds of linear discrete-time systems with time-varying uncertainties,” Int. J. Control, vol. 58, pp. 1461–1467, 1993.
8. F. Amato, G. Celentano, and F. Garofalo, “New sufficient conditions for the stability of slowly varying linear systems,” IEEE Trans. Automat. Control, vol. 38, pp. 1409–1411, Sept. 1993.
9. P. H. Bauer and K. Premaratne, “Robust stability of time-variant interval matrices,” in Proc. 29th IEEE Conf Decision and Control, Honolulu, HI, Dec. 1990, pp. 334-335.
10. P. H. Bauer, M. Mansour, and J. Duran, “Stability of polynomials with time-variant coefficients,” IEEE Trans. Circuits Syst.—I, vol. 40, pp. 423–426, June 1993.
11. P. H. Bauer, K. Premaratne, and J. Duran, “A necessary and sufficient condition for robust stability of time-variant discrete systems,” IEEE Trans. Automat. Control, vol. 38, pp. 1427–1430, Sept. 1993.
12. P. H. Bauer, personal communication, 1994.
13. J. Jiang, “Design of reconfigurable control systems using eigenstructure assignments,” Int. J. Control, vol. 59, pp. 395–410, 1994.
14. G.H. Golub and C.F. Van Loan, Matrix Computations. Baltimore, MD: Johns Hopkins, 1983.
15. K. Premaratne and M. Mansour, “Robust stability of time-variant discrete-time systems with bounded parameter perturbations,” Internal Report TR-94–03, Dept. of Electrical and Computer Engineering, Univ. of Miami, Coral Gables, FL, 1994.