RobustH∞Filtering for General Nonlinear Stochastic State-Delayed Systems
2012 ◽
Vol 2012
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pp. 1-15
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This paper studies the robustH∞filtering problem of nonlinear stochastic systems with time delay appearing in state equation, measurement, and controlled output, where the state is governed by a stochastic Itô-type equation. Based on a nonlinear stochastic bounded real lemma and an exponential estimate formula, an exponential (asymptotic) mean squareH∞filtering design of nonlinear stochastic time-delay systems is presented via solving a Hamilton-Jacobi inequality. As one corollary, for linear stochastic time-delay systems, a Luenberger-type filter is obtained by solving a linear matrix inequality. Two simulation examples are finally given to show the effectiveness of our results.
2011 ◽
Vol 58-60
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pp. 691-696
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2013 ◽
Vol 321-324
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pp. 1712-1718
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2018 ◽
Vol 28
(3)
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pp. 441-450
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2015 ◽
Vol 3
(5)
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pp. 472-480
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