Boundary Control Problems with Nonlinear State Equation

DOI10.1137/0320010zbMath0493.49024OpenAlexW1997595606MaRDI QIDQ3955983

Viorel Barbu

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1137/0320010

zbMATH Keywords

nonlinear state equationbang-bang principlesparabolic boundary control problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Monotone operators and generalizations (47H05) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear systems in control theory (93C10) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (13)

Boundary hemivariational inequality of parabolic type ⋮ Existence, comparison, and convergence results for a class of elliptic hemivariational inequalities ⋮ Simultaneous distributed and Neumann boundary optimal control problems for elliptic hemivariational inequalities ⋮ Identification of nonlinear heat transfer laws from boundary observations ⋮ Inverse problems for generalized quasi-variational inequalities with application to elliptic mixed boundary value systems ⋮ Analysis and semidiscrete Galerkin approximation of a class of nonlinear parabolic optimal control problems ⋮ Distributed optimal control problems for a class of elliptic hemivariational inequalities with a parameter and its asymptotic behavior ⋮ Optimal control of evolutionary equations with multivalued operators ⋮ Inverse problems for nonlinear quasi-hemivariational inequalities with application to mixed boundary value problems ⋮ Boundary control for the heat equation with nonlinear boundary condition ⋮ Unnamed Item ⋮ Existence of optimal controls for a class of systems governed by differential inclusions on a Banach space ⋮ Boundary controllability of Sobolev-type abstract nonlinear integrodifferential systems

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