The first variation and Pontryagin’s maximum principle in optimal control for partial differential equations

DOI10.1134/S0965542509060062zbMath1199.49054MaRDI QIDQ3652441

M. I. Sumin

Publication date: 17 December 2009

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

optimal controlpartial differential equationsPontryagin maximum principle

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Initial-boundary value problems for second-order hyperbolic equations (35L20)

Related Items (8)

Optimal control of stochastic differential equations via Fokker-Planck equations ⋮ REGULARIZATION OF PONTRYAGIN MAXIMUM PRINCIPLE IN OPTIMAL CONTROL OF DISTRIBUTED SYSTEMS ⋮ Numerical investigation of a class of Liouville control problems ⋮ A sequential quadratic Hamiltonian method for solving parabolic optimal control problems with discontinuous cost functionals ⋮ Parametric optimization for a hyperbolic equation in divergence form with a pointwise state constraint. II. ⋮ Parametric optimization for a hyperbolic equation in divergence form with a pointwise state constraint. I ⋮ On the SQH Scheme to Solve Nonsmooth PDE Optimal Control Problems ⋮ Optimal control for stochastic differential equations and related Kolmogorov equations

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