Maximum principle for optimal control of some parabolic systems with two point boundary conditions*

DOI10.1080/01630569908816886zbMath0924.49017OpenAlexW2069817156MaRDI QIDQ4239762

Shirong Chen, Gengsheng Wang

Publication date: 3 November 1999

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569908816886

zbMATH Keywords

two point boundary conditionslinear operator equationsPontryagin's minimum principle

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Control/observation systems in abstract spaces (93C25) Optimality conditions for problems in abstract spaces (49K27)

Related Items (5)

The Carleman inequality and its application to periodic optimal control governed by semilinear parabolic differential equations ⋮ A maximum principle approach to optimal control for one-dimensional hyperbolic systems with several state variables ⋮ Optimal Control of Structural Dynamic Systems in One Space Dimension Using a Maximum Principle ⋮ Optimal control problems governed by non-well-posed semilinear elliptic equation ⋮ State constrained optimal control problems governed by semilinear equations^sup∗

Cites Work

• Optimal control problems with two-point boundary conditions
• Periodic optimal control in Hilbert space
• Necessary Conditions for Optimal Control of Distributed Parameter Systems
• Optimization and nonsmooth analysis
• Optimal Control of Linear Periodic Resonant Systems in Hilbert Spaces

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