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Standard \(H_\infty\)-optimal control problem with a quadratic performance functional of the general form - MaRDI portal

Standard \(H_\infty\)-optimal control problem with a quadratic performance functional of the general form (Q2704003)

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Standard \(H_\infty\)-optimal control problem with a quadratic performance functional of the general form
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    4 March 2002
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    \(H_\infty\) control
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    state space method
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    passive systems
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    nonconvex necessary and sufficient conditions
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    convex sufficient conditions
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    existence of a solution
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    frequency characteristics
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    Standard \(H_\infty\)-optimal control problem with a quadratic performance functional of the general form (English)
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    The paper gives nonconvex necessary and sufficient conditions and convex sufficient conditions for the existence of a solution to the standard \(H_\infty\)-optimization problem with a quadratic function of the general form.NEWLINENEWLINENEWLINEThese conditions are expressed via frequency characteristics and via the coefficients of the systems in the state space.
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