Dissipative Control Systems and Disturbance Attenuation for Nonlinear H - Problems

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http://eprints.org/relation/isVersionOf https://pure.iiasa.ac.at/id/document/4208 http://eprints.org/relation/isVolatileVersionOf https://pure.iiasa.ac.at/id/document/4208 http://eprints.org/relation/isCoversheetVersionOf https://pure.iiasa.ac.at/id/document/4208 archive 351 disk0/00/00/49/10 2016-01-15 02:07:40 2021-08-27 17:15:40 2016-01-15 02:07:40 monograph show 2 Frankowska H. AL0659 Quincampoix M. AL1125 Dissipative Control Systems and Disturbance Attenuation for Nonlinear H - Problems pub iis_met iis_sys prog_dyn We characterize functions satisfying a dissipative inequality associated with a control problem. Such a characterization is provided in terms of epicontingent and viscosity supersolutions to a Partial Differential Equation called the Hamilton-Jacobi-Bellman-Isaacs equation. Links between viscosity and epicontingent supersolutions are studied. Finally, we derive (possibly discontinuous) disturbance attenuation feedback of the H^{infty}-problem from contingent formulation of the Isaacs' Equation. 1996-12 published WP-96-117 WP-96-117 10 1884 2311 public working_paper IIASA, Laxenburg, Austria 16 FALSE info:eu-repo/semantics/book