Stabilisation for Markovian jump delta operator systems with time-varying delays and actuator saturation

Hongjiu Yang, Hui Li, Yuanqing Xia and Huiguang Li

International Journal of Systems Science, 2017, vol. 48, issue 9, 1871-1881

Abstract: In this paper, stochastic stabilisation is studied for Markovian jump delta operator systems with time-varying delays and actuator saturation. The transition probability rates in Markovian jump parameters are considered as partly known. Both lower and upper bounds are considered in the time-varying delays. Using Lyapunov–Krasovkii functional, a stochastic stabilisation condition is obtained for the closed-loop Markovian jump delta operator system with time-varying delays and actuator saturation. A numerical example is shown to illustrate the effectiveness and potential for the developed techniques.

Date: 2017
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DOI: 10.1080/00207721.2017.1297507

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