Nonlinear \(H_\infty\) control: A stochastic perspective (Q2712226)

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Nonlinear \(H_\infty\) control: A stochastic perspective
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    12 March 2002
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    nonlinear \(H_\infty\) control
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    robust control
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    nonlinear systems
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    differential games
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    risk-sensitive stochastic control
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    dissipative systems
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    information state
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    partially observed stochastic control
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    singular information states
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    semigroups
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    generators
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    Nonlinear \(H_\infty\) control: A stochastic perspective (English)
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    This paper gives a review on recent developments of nonlinear \(H_\infty\) control, related to robust control for nonlinear systems. Introducing the background of a stochastic interpretation for \(H_\infty\) control, by its connections with differential games a risk-sensitive stochastic control and dissipative systems, the author mainly presents recent results in robust control from a stochastic perspective. From the information state approach to partially observed stochastic control, the results include (i) singular information states and stability and (ii) semigroups and generators.NEWLINENEWLINEFor the entire collection see [Zbl 0958.00050].
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