#5979. Stabilization of hybrid systems by intermittent feedback controls based on discrete-time observations with a time delay

August 2026publication date
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Journal’s subject area:
Control and Optimization;
Electrical and Electronic Engineering;
Computer Science Applications;
Control and Systems Engineering;
Human-Computer Interaction;
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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.
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