Stabilization of a class of nonlinear stochastic systems

Nonlinear Analysis, Theory, Methods and Applications

Volumn 41, Issue 3, 2000, Pages 277-286

  Boulanger, Christophe ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CONFORMAL MAPPING; CONTROL NONLINEARITIES; DIFFERENTIAL EQUATIONS; LYAPUNOV METHODS; PROBABILITY; RANDOM PROCESSES; STATE FEEDBACK;

CONTROL LYAPUNOV FUNCTION; NONLINEAR STOCHASTIC SYSTEMS; STOCHASTIC STABILITY;

NONLINEAR SYSTEMS;

EID: 0034230659     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00278-8     Document Type: Article

References (8)

1. L. Arnold, Stochastic Differential Equations: Theory and Applications, Wiley, New York, 1974.
2. Z. Artstein, Stabilization with relaxed controls, Nonlinear Anal. Theory Methods and Appl. 7 (1983) 1163-1173.
3. J. Dieudonné, Foundations of Modern Analysis, Academic Press, New York, 1969.
4. P. Florchinger, A universal formula for the stabilization of control stochastic differential equations, J. Stochastic Anal. Appl. 11 (2) (1993) 155-162.
5. K.Z. Khasminskii, Stochastic Stability of Differential Equations, Sijthoff & Noordhoff, Alphen aan den Rijn, 1980.
6. H.J. Kushner, Converse theorems for stochastic Liapunov functions, SIAM J. Control 2 (1967) 228-233.
7. E.D. Sontag, A 'universal' construction of Artstein's theorem on nonlinear stabilization, Systems Control Lett. 13 (1989) 117-123.
8. J. Tsinias, Asymptotic feedback stabilization: A sufficient condition for the existence of control Lyapunov functions, Systems Control Lett. 15 (1990) 441-448.