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Input-output finite-time stability of time-varying linear singular systems. (English) Zbl 1274.93244

Summary: This paper studies the input-output finite-time stabilization problem for time-varying linear singular systems. The output and the input refer to the controlled output and the disturbance input, respectively. Two classes of disturbance inputs are considered, which belong to \(L_2\) and \(L_\infty\). Sufficient conditions are firstly provided which guarantee the input-output finite-time stability. Based on this, state feedback controllers are designed such that the resultant closed-loop systems are input-output finite-time stable. The conditions are presented in terms of differential linear matrix inequalities. Finally, an example is presented to show the validity of the proposed results.

MSC:

93D25 Input-output approaches in control theory
93C05 Linear systems in control theory
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