Discontinuous control problems for non-convex dynamics and near viability for singularly perturbed control systems

DOI10.1016/j.na.2010.06.050zbMath1195.49007OpenAlexW2046305837MaRDI QIDQ988158

Oana-Silvia Serea, Dan Goreac

Publication date: 26 August 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.06.050

zbMATH Keywords

optimal controlsingular perturbationsHamilton-Jacobi-Bellman equationsnear viability

Mathematics Subject Classification ID

Time-scale analysis and singular perturbations in control/observation systems (93C70) Methods involving semicontinuity and convergence; relaxation (49J45) Ordinary differential inclusions (34A60) Control/observation systems governed by ordinary differential equations (93C15) Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Singular perturbations of functional-differential equations (34K26) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (4)

Nonlinear evolution inclusions with one-sided Perron right-hand side ⋮ Near viability for fully nonlinear differential inclusions ⋮ Discontinuous control problems with state constraints: linear formulations and dynamic programming principles ⋮ Mayer and optimal stopping stochastic control problems with discontinuous cost

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