Dissipative control systems and disturbance attenuation for nonlinear H-infinity problems

Authors
Frankowska, H Quincampoix, M
Citation
H. Frankowska et M. Quincampoix, Dissipative control systems and disturbance attenuation for nonlinear H-infinity problems, APPL MATH O, 40(2), 1999, pp. 163-181
Citations number
15
Categorie Soggetti
Mathematics
Journal title
APPLIED MATHEMATICS AND OPTIMIZATION
ISSN journal
00954616 → ACNP
Volume
40
Issue
2
Year of publication
1999
Pages
163 - 181
Database
ISI
SICI code
0095-4616(199909/10)40:2<163:DCSADA>2.0.ZU;2-A
Abstract
We characterize functions satisfying a dissipative inequality associated wi th a control problem. Such a characterization is provided in terms of an ep icontingent solution, or a viscosity supersolution to a partial differentia l equation called Isaacs' equation. Links between supersolutions and epicon tingent solutions to Isaacs' equation are studied. Finally, we derive (poss ibly discontinuous) disturbance attenuation feedback of the HCO problem fro m contingent formulation of Isaacs' equation.