Dissipative control systems and disturbance attention for nonlinear \(H^\infty\) problems (Q1304957)
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scientific article; zbMATH DE number 1340507
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Dissipative control systems and disturbance attention for nonlinear \(H^\infty\) problems |
scientific article; zbMATH DE number 1340507 |
Statements
Dissipative control systems and disturbance attention for nonlinear \(H^\infty\) problems (English)
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10 September 2000
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Functions satisfying a dissipative inequality associated with a control problem are characterized. Such a characterization is provided in terms of an epicontingent solution, or a viscosity supersolution to a partial differential equation called Isaacs's equation. Relations between supersolutions and epicontingent solutions to Isaacs's equation are studied. A disturbance attenuation feedback for the \(H^\infty\) problem is derived from a contingent formulation of Isaacs's equation.
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\(H^\infty\)-control
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contingent solution
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viscosity supersolution
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Isaacs's equation
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0.9276179
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0.9133354
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0.9103388
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0.9090014
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0.90769815
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0.9026699
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