Stochastic exponential stabilization of hybrid systems with time‐varying delays via adaptive control

Abstract

Abstract The problem of stochastic stabilization for a class of hybrid dynamical systems with time‐varying delays is investigated by adaptive control approach. An adaptive controller is designed to stabilize the hybrid systems, and a sufficient criterion for exponential stabilization is derived based on certain conditions. The time‐varying delay observations on the states of noise are made and the least upper bound of time‐varying delays is also obtained. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed new techniques.

Keywords

• Stability in control theory
• Self-adjusting control systems
• Time-varying control systems
• Distributed parameter control systems