Stabilization of hybrid systems by intermittent feedback controls based on discrete‐time observations with a time delay

Abstract

Abstract This paper mainly investigates stabilization of hybrid stochastic differential equations (SDEs) via periodically intermittent feedback controls based on discrete‐time state observations with a time delay. First, by using the theory of M‐matrix and intermittent control strategy, we establish sufficient conditions for the stability of hybrid SDEs. Then, we prove the intermittent stabilization for a given unstable nonlinear hybrid SDE by comparison theorem. Two numerical examples are discussed to support our results of theoretical analysis.

Keywords

• Mathematical analysis
• Control system analysis and synthesis methods
• Stability in control theory
• Optimal control
• Discrete control systems
• Time‐varying control systems