Nonconvex optimal control of nonlinear monotone parabolic systems

DOI10.1016/0167-6911(86)90030-7zbMath0604.49004OpenAlexW2085498455MaRDI QIDQ1083682

I. Chryssoverghi

Publication date: 1986

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6911(86)90030-7

zbMATH Keywords

minimum principlenonconvex optimal control problemsnonlinear parabolic PDE's with state constraintsRelaxed controls

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear systems in control theory (93C10) Existence theories for optimal control problems involving partial differential equations (49J20) Numerical methods of relaxation type (49M20)

Related Items

A relaxation approach to optimal control of Volterra integral equations, Discrete approximation of relaxed optimal control problems, Optimal control of quasilinear parabolic equations, Discretization of nonlinear elliptic optimal control problems, Approximation of relaxed nonlinear parabolic optimal control problems

Cites Work

• Unnamed Item
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• Numerical approximation of nonconvex optimal control problems defined by parabolic equations
• Sur le contrôle optimal de systèmes gouvernés par des équations élliptiques. (On optimal control of systems gouverned by elliptic equations.)
• Generalized curves
• On Some Extremal Problems in the Theory of Differential Equations with Applications to the Theory of Optimal Control
• On Certain Questions in the Theory of Optimal Control
• Existence theorems for weak and usual optimal solutions in Lagrange problems with unilateral constraints. I
• Sur la généralisation de la notion de commande d'un système guidable