Resumen de H∞ control of Markov jump time-delay systems under asynchronous controller and quantizer

Ying Shen, Zheng-Guang Wu, Peng Shi, Zhan Shu, Hamid Reza Karimi

• This paper aims to design an asynchronous state feedback controller for Markov jump time-delay systems. The highlight of this work lies in that the state feedback is quantized by a logarithmic quantizer, and both the controller and quantizer are asynchronous with the controlled systems. By Lyapunov–Krasovskii functional, a sufficient condition is presented to ensure that the resulting closed-loop system is stochastically mean square stable with a prescribed H∞ performance index. Finally, an example is presented to illustrate the effectiveness and new features of proposed design method.