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Extended \(H_\infty\) control of descriptor systems - MaRDI portal

Extended \(H_\infty\) control of descriptor systems (Q2704481)

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Extended \(H_\infty\) control of descriptor systems
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    19 March 2001
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    extended \(H_\infty\) control
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    descriptor linear systems
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    generalized Riccati equations
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    Extended \(H_\infty\) control of descriptor systems (English)
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    A method, based on an extended \(H_\infty\) control, to solve the non-standard \(H_\infty\) problem for descriptor linear systems is proposed. Necessary and sufficient conditions for the existence of a comprehensively stabilizing controller are established. A family of extended \(H_\infty\) controllers based on quasi-admissible solutions to two generalized Riccati equations is presented.
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