Control of dynamic systems under the influence of singularly perturbed Markov chains (Q1378700)

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scientific article; zbMATH DE number 1115538
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English
Control of dynamic systems under the influence of singularly perturbed Markov chains
scientific article; zbMATH DE number 1115538

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    Control of dynamic systems under the influence of singularly perturbed Markov chains (English)
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    9 February 1998
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    A quite general framework is developed for obtaining near-optimal controls for nonlinear dynamic systems under the influence of singularly perturbed Markov chains with fast and slow components. The existence results are achieved by considering an averaged system as a reference system, where weak convergence leads to relaxed controls.
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    stochastic optimal control
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    weak and strong interaction
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    near-optimal controls
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    nonlinear dynamic systems
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    singularly perturbed Markov chains
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    existence
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    averaged system
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    relaxed controls
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