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A method to solve the discrete-time coupled algebraic Riccati equations - MaRDI portal

A method to solve the discrete-time coupled algebraic Riccati equations (Q2379021)

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A method to solve the discrete-time coupled algebraic Riccati equations
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    A method to solve the discrete-time coupled algebraic Riccati equations (English)
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    14 January 2009
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    The solution of a set of discrete-time coupled algebraic Riccati equations is considered. At first the system is transformed into another system of Riccati equations. Then, two iterative methods for computing a symmetric solution of this system are proposed. In each iteration step one has to solve a Stein equation. Convergence properties of the proposed algorithms are proved. Finally, some numerical examples are given.
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    set of discrete-time Riccati equations
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    jump systems
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    Stein equation
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    iterative method
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    symmetric solution
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    convergence
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    algorithms
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    numerical examples
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