Pontryagin Maximum Principle for Optimal Control of Variational Inequalities

DOI10.1137/S0363012997328087zbMath0938.49021OpenAlexW2063560140MaRDI QIDQ4253033

Bergounioux, Maïtine, Housnaa Zidani

Publication date: 24 June 1999

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

Full work available at URL: https://doi.org/10.1137/s0363012997328087

zbMATH Keywords

optimal controlvariational inequalitiesoptimality conditionsEkeland's variational principlePontryagin maximum principle

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Numerical methods involving duality (49M29) Unilateral problems for linear parabolic equations and variational inequalities with linear parabolic operators (35K85)

Related Items

The existence results for obstacle optimal control problems, Some optimality conditions of quasilinear elliptic obstacle optimal control problems, Optimal control of static plasticity with linear kinematic hardening, Optimality conditions for reflecting boundary control problems, Optimal control for obstacle problems involving time-dependent variational inequalities with Liouville-Caputo fractional derivative, The method of extremal shift in control problems for evolution variational inequalities under disturbances, A relaxation approach to vector-valued Allen-Cahn MPEC problems, Direct pseudo-spectral method for optimal control of obstacle problem - an optimal control problem governed by elliptic variational inequality, The application of a universal separating vector lemma to optimal sampled-data control problems with nonsmooth Mayer cost function, Unnamed Item, An adaptive wavelet collocation method for solving optimal control of elliptic variational inequalities of the obstacle type, A Penalty Approach to Optimal Control of Allen-Cahn Variational Inequalities: MPEC-View, Pontryagin maximum principle of optimal control governed by fluid dynamic systems with two point boundary state constraint, Optimal Control of Obstacle Problems: Existence of Lagrange Multipliers, Measure-Valued Solutions to a Harvesting Game with Several Players, Regularity of obstacle optimal control problem, Pontryagin's Principle of Mixed Control-State Constrained Optimal Control Governed by Fluid Dynamic Systems, Optimal control of the obstacle for a parabolic variational inequality