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Solution of the state-dependent noise optimal control problem in terms of Lyapunov iterations - MaRDI portal

Solution of the state-dependent noise optimal control problem in terms of Lyapunov iterations (Q1298247)

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scientific article; zbMATH DE number 1325766
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Solution of the state-dependent noise optimal control problem in terms of Lyapunov iterations
scientific article; zbMATH DE number 1325766

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    Solution of the state-dependent noise optimal control problem in terms of Lyapunov iterations (English)
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    23 January 2000
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    The authors consider the linear quadratic regulator for a linear system disturbed by white noise and by an independent state dependent white noise. For the associated Riccati-type equation, they study the convergence of an algorithm based on Lyapunov iterations, show how to initialise the iterations to achieve convergence, and prove it.
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    stochastic control
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    linear-quadratic regulators
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    Lyapunov methods
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    numerical algorithms
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    algebraic Riccati equations
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