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\(H_{\infty}\) control ad input-to-state stabilization for hybrid systems with time delay. (English) Zbl 1353.93045

Summary: This paper addresses the problem of designing a robust reliable \(H_\infty\) control and a switching law to guarantee input-to-state stabilization (ISS) for a class of uncertain switched control systems with time delay not only when all the actuators are operational, but also when some of them experience failure. The output of faulty actuators are treated as a disturbance signal that is augmented with the system disturbance input. Multiple Lyapunov function with Razumikhin technique, and average dwell-time switching signal are used to establish the ISS property.

MSC:

93B36 \(H^\infty\)-control
93B51 Design techniques (robust design, computer-aided design, etc.)
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