Maximum principle for a control problem governed by an evolution equation

DOI10.1023/A:1004654800011zbMath0968.49017OpenAlexW1520776842MaRDI QIDQ1584018

Marcello Bertoldi

Publication date: 9 May 2001

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1004654800011

zbMATH Keywords

optimal controlunbounded controlsdistributed parameter systemsEkeland variational principlePontryagin maximum principle

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions for problems in abstract spaces (49K27)

Cites Work

• A unique continuation theorem for solutions of a parabolic differential equation
• Necessary conditions for infinite-dimensional control problems
• A unified theory of necessary conditions for nonlinear nonconvex control systems
• On the variational principle
• Sur l'unicité retrograde des équations paraboliques et quelques questions voisines
• Necessary Conditions for Optimal Control of Distributed Parameter Systems
• The Maximum Principle under Minimal Hypotheses
• Pontryagin's Principle for State-Constrained Control Problems Governed by Parabolic Equations with Unbounded Controls
• Maximum Principle for a Hybrid System Via Singular Perturbations
• Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations
• Pontryagin Maximum Principle for Semilinear and Quasilinear Parabolic Equations with Pointwise State Constraints
• Sur l'unicité réctrograde dans les problèmes mixtes paraboliques.
• Unnamed Item