On Design of Homogeneous Feedback Controllers for Finite-Time Stabilization of Stochastic Systems

Abstract

In this paper, we investigate the design of controllers for the finite-time stabilization of stochastic systems. In the stochastic finite-time stabilization using controllers designed by previous design methods, the input signals often exhibit the chattering-like behavior. This paper presents another method for designing controllers in stochastic finite-time stabilization problems to avoid the chattering-like behavior. Moreover, we discuss the cause of the chattering-like behavior in the finite-time stabilization through numerical results.