Differential Games and Nonlinear \boldmath$\cal H_\infty$ Control in Infinite Dimensions
DOI10.1137/S0363012998343562zbMath0986.93023MaRDI QIDQ2706152
Pierpaolo Soravia, Maciej Kocan
Publication date: 19 March 2001
Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)
state constraintsdynamic programmingdifferential gamenonlinear semigroupsaccretive operatorsviscosity solutionsoptimality principlesfamily of strategiesnonlinear \(\mathcal H_\infty\) controlnonlinear unbounded infinite-dimensional system
Differential games (aspects of game theory) (91A23) (H^infty)-control (93B36) Dynamic programming (90C39) Control/observation systems in abstract spaces (93C25) Existence theories for optimal control problems involving partial differential equations (49J20) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)
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