Year: 2025
Type: article
Abstract: The purpose of this paper is to provide sufficient conditions for the feedback asymptotic stabilization in probability for a class of affine in the control nonlinear stochastic differential systems.In fact, under the assumptions stated in this paper we prove the existence of a control Lyapunov function that according to the stochastic version of Artstein's theorem guarantees the asymptotic stability in probability by means of a state feedback law that is smooth except eventually at the equilibrium.This result generalizes the well-known theorem of Vidyasagar concerning the feedback stabilization problem for interconnected control systems.
Source: Kybernetika
Author: Patrick Florchinger
Language: English
Subfield: Control and Systems Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7117578987
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