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Mean-field formulation for the infinite-horizon mean-variance control of discrete-time linear systems with multiplicative noises - MaRDI portal

Mean-field formulation for the infinite-horizon mean-variance control of discrete-time linear systems with multiplicative noises (Q6609021)

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scientific article; zbMATH DE number 7916960
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English
Mean-field formulation for the infinite-horizon mean-variance control of discrete-time linear systems with multiplicative noises
scientific article; zbMATH DE number 7916960

    Statements

    Mean-field formulation for the infinite-horizon mean-variance control of discrete-time linear systems with multiplicative noises (English)
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    20 September 2024
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    optimisation
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    stability
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    discrete time systems
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    Riccati equations
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    matrix algebra
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    optimal control
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    linear systems
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    investment
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    stochastic systems
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    closed loop systems
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    stochastic processes
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    generalised coupled algebraic Riccati equations
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    GCARE
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    sufficient conditions
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    maximal solution
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    mean-square stabilising solution
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    optimal control policies
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    average cost problems
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    multiperiod portfolio selection problem
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    mean-variance trade-off costs
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    field formulation
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    infinite-horizon mean-variance control
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    discrete-time linear systems
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    multiplicative noises
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    infinite-horizon stochastic optimal control
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    average costs
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    mean-variance trade-off performance criterion
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    mean-field approach
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    optimal control solution
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