Full information \(H_ \infty\)-control for discrete-time infinite Markov jump parameter systems (Q1922946)
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scientific article; zbMATH DE number 930210
| Language | Label | Description | Also known as |
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| English | Full information \(H_ \infty\)-control for discrete-time infinite Markov jump parameter systems |
scientific article; zbMATH DE number 930210 |
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Full information \(H_ \infty\)-control for discrete-time infinite Markov jump parameter systems (English)
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29 May 1997
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This paper deals with \(H_\infty\)-control problems for the class of discrete-time Markovian jump linear systems. The authors obtained a necessary and sufficient condition for the existence of a state-feedback controller that stabilizes the system and ensures that the output is smaller than some prespecified bound. This condition is derived in terms of a set of infinite coupled algebraic Riccati equations, using the concepts of stochastic stabilizability and detectabiliy.
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\(H_ \infty\)-control
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discrete-time
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Markov jump linear systems
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