Title :
Stochastic adaptive nonlinear stabilization by the control Lyapunov function method
Author :
Florchinger, Patrick
Author_Institution :
Dept. de Math., Metz Univ., France
Abstract :
The purpose of this paper is to study the problem of asymptotic stabilization in probability of nonlinear stochastic differential systems with unknown parameters. With this aim, we introduce the concept of the adaptive stochastic control Lyapunov function and we use the stochastic version of Artstein´s theorem to design an adaptive stabilizer
Keywords :
Lyapunov methods; adaptive control; asymptotic stability; control system synthesis; nonlinear control systems; nonlinear differential equations; probability; stochastic systems; adaptive stabilizer; adaptive stochastic control Lyapunov function; asymptotic stabilization; control Lyapunov function method; nonlinear stochastic differential systems; stochastic adaptive nonlinear stabilization; Adaptive control; Control systems; Feedback; Lyapunov method; Programmable control; Stochastic processes; Stochastic systems;
Conference_Titel :
Decision and Control, 1996., Proceedings of the 35th IEEE Conference on
Conference_Location :
Kobe
Print_ISBN :
0-7803-3590-2
DOI :
10.1109/CDC.1996.574406
