Solving Two-Point Boundary Value Problems for a Wave Equation via the Principle of Stationary Action and Optimal Control

DOI10.1137/151003167zbMath1380.49020arXiv1501.02006OpenAlexW2963220610MaRDI QIDQ5278178

Peter M. Dower, William M. McEneaney

Publication date: 13 July 2017

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

Full work available at URL: https://arxiv.org/abs/1501.02006

zbMATH Keywords

optimal controlwave equationfundamental solutiontwo-point boundary value problemsstationary action

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Wave equation (35L05) General theory of partial differential operators (47F05) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (8)

Solving Two-Point Boundary Value Problems for a Wave Equation via the Principle of Stationary Action and Optimal Control ⋮ Staticization and Iterated Staticization ⋮ Staticization, its dynamic program and solution propagation ⋮ Static duality and a stationary-action application ⋮ Second-Order Hamilton–Jacobi PDE Problems and Certain Related First-Order Problems, Part 1: Approximation ⋮ Verifying fundamental solution groups for lossless wave equations via stationary action and optimal control ⋮ Exploiting characteristics in stationary action problems ⋮ On the nonexistence conditions of solution of two-point in time problem for nonhomogeneous PDE

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