Averaging method for discontinuous Mayer's problem of singularly perturbed control systems

DOI10.1016/S0362-546X(03)00094-4zbMath1020.49022MaRDI QIDQ1400259

Marc Quincampoix, Frédérique Watbled

Publication date: 13 August 2003

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

zbMATH Keywords

optimal controlHamilton-Jacobi-Bellman equationdifferential inclusionsoptimal costcontrol system with singular perturbationMayer's problem

Mathematics Subject Classification ID

Dynamic programming in optimal control and differential games (49L20) Singular perturbations in context of PDEs (35B25) Perturbations in control/observation systems (93C73) Optimal stochastic control (93E20) Singular perturbations of ordinary differential equations (34D15) Singular perturbations for ordinary differential equations (34E15)

Related Items (10)

Characterization of the optimal trajectories for the averaged dynamics associated to singularly perturbed control systems ⋮ On the reachable set of inflated singularly perturbed differential equations ⋮ On Near Optimal Control of Systems with Slow Observables ⋮ Averaging problem for weakly coupled nonexpansive control systems ⋮ On average control generating families for singularly perturbed optimal control problems with long run average optimality criteria ⋮ Discontinuous control problems for non-convex dynamics and near viability for singularly perturbed control systems ⋮ Stability and optimality of solutions to differential inclusions via averaging method ⋮ On Differential Games with Long-Time-Average Cost ⋮ On singular perturbations for differential inclusions on the infinite interval ⋮ Averaging and linear programming in some singularly perturbed problems of optimal control

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