Invariant Solutions of Differential Games and Hamilton--Jacobi--Isaacs Equations for Time-Measurable Hamiltonians

DOI10.1137/S0363012998296219zbMath0966.49021OpenAlexW2083331171MaRDI QIDQ4507421

Pierre Cardaliaguet, Slawomir Plaskacz

Publication date: 18 October 2000

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

Full work available at URL: https://doi.org/10.1137/s0363012998296219

zbMATH Keywords

invariance viscosity solution differential inclusion differential game viability Hamilton- Jacobi- Isaacs equation time-measurable Hamiltonian

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Differential games and control (49N70) Differential games (aspects of game theory) (91A23) Ordinary differential inclusions (34A60) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25)

Related Items (10)

Discontinuous differential games and control systems with supremum cost ⋮ Zero-sum state constrained differential games: Existence of value for Bolza problem ⋮ Nonlinear protocols for optimal distributed consensus in networks of dynamic agents ⋮ Regularity of solution maps of differential inclusions under state constraints ⋮ Invariant solutions of differential games with measures: a discontinuous time reparameterization approach ⋮ On ergodic problem for Hamilton-Jacobi-Isaacs equations ⋮ Asymptotics of values in dynamic games on large intervals ⋮ Vanishing Discount Limit and Nonexpansive Optimal Control and Differential Games ⋮ Existence and characterization of the values of two player differential games with state constraints ⋮ Stochastic exit time problems arising in process control

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