Robust \(H_\infty\) filtering for polytopic uncertain time-delay systems with Markov jumps (Q1347759)
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scientific article; zbMATH DE number 1736409
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Robust \(H_\infty\) filtering for polytopic uncertain time-delay systems with Markov jumps |
scientific article; zbMATH DE number 1736409 |
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Robust \(H_\infty\) filtering for polytopic uncertain time-delay systems with Markov jumps (English)
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16 November 2002
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The paper is devoted to the analysis of a class of dynamical systems with abrupt changes in their structure. The system's dynamics is given by a linear differential system with time delays; the parameters of the model are assumed to belong to a convex compact set of polytopic type. The goal of the work is to design a linear full order filter providing the necessary error of estimation. It is proved that under appropriate conditions the system is robust stochastically stable. The proofs are based on the construction of Lyapunov functions. A few numerical examples are worked out to illustrate the developed algorithms, including a system with Markov jumps.
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\(H_{\infty}\) filtering
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stochastic stability
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time-delay system
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Lyapunov function
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system with Markov jumps
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