Dissipative control systems and disturbance attenuation for nonlinear H∞ problems

被引：8
作者：
Frankowska, H
Quincampoix, M
机构：
[1] Univ Paris 09, CNRS, F-75775 Paris 16, France
[2] Univ Paris 09, Ctr Rech, VJC, F-75775 Paris, France
[3] Univ Bretagne Occidentale, Dept Math, F-29285 Brest, France
来源：
APPLIED MATHEMATICS AND OPTIMIZATION | 1999年 / 40卷 / 02期
关键词：
D O I：
10.1007/s002459900120
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 HCO problem from contingent formulation of Isaacs' equation.
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收藏
页码：163 / 181
页数：19
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