Dissipative Control Systems and Disturbance Attenuation for Nonlinear H{sup {infinity}} Problems
Journal Article
·
· Applied Mathematics and Optimization
- CNRS and Centre de Recherches VJC, Universite Paris-Dauphine, Place du Marechal de Lattre de Tassigny, 75775 Paris cedex 16 (France)
- Departement de Mathematiques, Universite de Bretagne Occidentale, Avenue Le Gorgeu, B.P. 809, 29285 Brest cedex (France)
We characterize functions satisfying a dissipative inequality associated with a control problem. Such a characterization is provided in terms of an epicontingent solution, or a viscosity supersolution to a partial differential equation called Isaacs' equation. Links between supersolutions and epicontingent solutions to Isaacs' equation are studied. Finally, we derive (possibly discontinuous) disturbance attenuation feedback of the H{sup {infinity}} problem from contingent formulation of Isaacs' equation.
- OSTI ID:
- 21067544
- Journal Information:
- Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 2 Vol. 40; ISSN 0095-4616
- Country of Publication:
- United States
- Language:
- English
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