Zero-sum differential games involving hybrid controls

DOI10.1007/s10957-005-7558-xzbMath1099.91022OpenAlexW2053570571MaRDI QIDQ2499372

Sheetal Dharmatti, Mythily Ramaswamy

Publication date: 14 August 2006

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-005-7558-x

zbMATH Keywords

viscosity solutionsquasi variational inequalitiesdynamic programming principle

Mathematics Subject Classification ID

Differential games and control (49N70) 2-person games (91A05) Differential games (aspects of game theory) (91A23) Sampled-data control/observation systems (93C57)

Related Items (12)

Differential Game Logic ⋮ A zero-sum deterministic impulse controls game in infinite horizon with a new HJBI-QVI ⋮ Continuous and impulse controls differential game in finite horizon with Nash-equilibrium and application ⋮ Degenerate First-Order Quasi-variational Inequalities: An Approach to Approximate the Value Function ⋮ Sufficient Conditions for Optimality and Asymptotic Stability in Two-Player Zero-Sum Hybrid Games ⋮ Random Walk Analysis in Antagonistic Stochastic Games ⋮ Deterministic minimax impulse control ⋮ Unbounded viscosity solutions of hybrid control systems ⋮ The value of a minimax problem involving impulse control ⋮ Viscosity Solutions of Hybrid Game Problems with Unbounded Cost Functionals ⋮ Objective function design for robust optimality of linear control under state-constraints and uncertainty ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Differential games with switching strategies
• Zero-sum differential games involving impulse controls
• Hybrid Control Systems and Viscosity Solutions
• A unified framework for hybrid control: model and optimal control theory

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