Stochastic finite-time \(H_\infty\) performance analysis of continuous-time systems with random abrupt changes (Q1722331)
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scientific article; zbMATH DE number 7021917
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stochastic finite-time \(H_\infty\) performance analysis of continuous-time systems with random abrupt changes |
scientific article; zbMATH DE number 7021917 |
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Stochastic finite-time \(H_\infty\) performance analysis of continuous-time systems with random abrupt changes (English)
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14 February 2019
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Summary: The problem of \(H_\infty\) control performance analysis of continuous-time systems with random abrupt changes is concerned in this paper. By employing an augmented multiple mode-dependent Lyapunov-Krasovskii functional and using some integral inequalities, new sufficient conditions are obtained relating to finite-time bounded and an \(H_\infty\) performance index. The finite-time \(H_\infty\) control performance problem is solved and desired controller is given to ensure the system trajectory stays within a prescribed bound during a given time interval. At last, two numerical examples are provided to show that our results are less conservative than the existing ones.
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stochastic finite-time \(H_\infty\) performance
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continuous-time systems
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Markovian jump system
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