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Stochastic Finite‐Time H∞ Performance Analysis of Continuous‐Time Systems with Random Abrupt Changes

Bing Wang

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: The problem of H∞ 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∞ performance index. The finite‐time H∞ 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.

Date: 2014
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https://doi.org/10.1155/2014/198616

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