Partially Observed Differential Games, Infinite-Dimensional Hamilton–Jacobi–Isaacs Equations, and Nonlinear $H_\infty $ Control

DOI10.1137/S0363012994273337zbMath0853.90133OpenAlexW1968793942MaRDI QIDQ4891020

John S. Baras, Matthew R. James

Publication date: 27 August 1996

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0363012994273337

zbMATH Keywords

viscosity solutionsinformation stateinfinite-dimensional partial differential equationnonlinear output feedback \(H_ \infty\) robust control problempartially observed nonlinear differential games

Mathematics Subject Classification ID

Differential games (aspects of game theory) (91A23) Nonlinear systems in control theory (93C10) Control/observation systems with incomplete information (93C41) (H^infty)-control (93B36) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

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