ε-Equilibrium in LQ differential games with bounded uncertain disturbances: robustness of standard strategies and new strategies with adaptation

DOI10.1080/00207170600690624zbMath1330.91034OpenAlexW2000845429MaRDI QIDQ5491423

Manuel Z. Jimenez, Alexander S. Poznyak

Publication date: 11 October 2006

Published in: International Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207170600690624

zbMATH Keywords

Nash equilibriumuncertaintiesbounded disturbancesfinite time multi-persons linear-quadratic differential game (LQDG)

Mathematics Subject Classification ID

Differential games and control (49N70) Differential games (aspects of game theory) (91A23) (n)-person games, (n>2) (91A06)

Related Items (8)

Open-loop Nash equilibrium in polynomial differential games via state-dependent Riccati equation ⋮ A robust time‐inconsistent linear‐quadratic problem ⋮ Composite control of linear quadratic games in delta domain with disturbance observers ⋮ Robust Mean Field Linear-Quadratic-Gaussian Games with Unknown $L^2$-Disturbance ⋮ Linear quadratic mean-field game with volatility uncertainty ⋮ Dr. Alexander Semionovich Poznyak Gorbatch: Biography ⋮ Non-zero sum differential game for stochastic Markovian jump systems with partially unknown transition probabilities ⋮ Towards quantifying the impact of randomly occurred attacks on a class of networked control systems

Cites Work

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• Robust equilibria in indefinite linear-quadratic differential games
• An adaptive algorithm for discrete-time differential games
• On \(\varepsilon\)-equilibrium point in a noncooperative \(n\)-person game
• Guaranteeing cost strategies for linear quadratic differential games under uncertain dynamics

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