Exponential stability of singularly perturbed stochastic systems

IEEE Transactions on Automatic Control

Volumn 45, Issue 3, 2000, Pages 576-580

  Socha, Leslaw ^a  

^a SILESIAN UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; LYAPUNOV METHODS; MATRIX ALGEBRA; NONLINEAR CONTROL SYSTEMS; WHITE NOISE;

BOUNDARY LAYER SYSTEMS; EXPONENTIAL STABILITY; LOWER ORDER SYSTEM; REDUCED ORDER SYSTEM; SINGULARLY PERTURBED STOCHASTIC SYSTEM;

STOCHASTIC CONTROL SYSTEMS;

EID: 0033706573     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/9.847748     Document Type: Article

References (8)

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3. M. El-Ansary and H. K. Khalil, "On the interplay of singular perturbations and wide-band stochastic fluctuations," SIAM J. Contr. Optim., vol. 24, pp. 83-94, 1986.
4. H. K. Khalil, "Stability analysis of nonlinear multiparameter singularly perturbed systems," IEEE Trans. Automat. Contr., vol. AC-32, pp. 260-263, Jan. 1987.
5. R. Z. Khasminski, Stochastic Stability of Differential Equations. Groningen, The Netherlands Sijthoff and Noordhoff, 1980.
6. P. V. Kokotovic, H. K. Khalil, and J. O'Reilly, Singular Perturbation Methods in Control: Analysis and Design. New York: Academic, 1986.
7. X. Mao, Exponential Stability of Stochastic Differential Equations. New York: Longman, 1994.
8. A. Saberi and H. K. Khalil, "Quadratic-type Lyapunov functions for singularly perturbed systems," IEEE Trans. Automat. Contr., vol. AC-29, pp. 542-550, Mar. 1984.