An output feedback method to polynomial stabilization of hybrid pantograph stochastic systems with aperiodic sampling. (English) Zbl 07909860
Summary: This paper focuses on the polynomial stabilization problem of hybrid pantograph stochastic systems (HPSSs) with aperiodic sampling in the presence of randomly occurring transmission delay. Firstly, a sufficient condition is provided to ensure the existence, uniqueness and boundedness of solution to such systems. Next, taking advantage of the Lyapunov stability theory and the comparison method, the criteria of \(p\) th moment polynomial stability are established for the HPSSs under the feedback control and aperiodic intermittent control strategy, respectively. Finally, the proposed theoretical results of two control methods are simultaneously validated through a numerical example.
Keywords:
hybrid pantograph stochastic systems; aperiodic sampling; output feedback control; intermittent control; polynomial stability; transmission delayReferences:
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