Optimality problem for infinite dimensional bilinear systems

DOI10.1016/j.bulsci.2006.03.006zbMath1097.22008OpenAlexW2025164180MaRDI QIDQ2500597

Naceurdine Bensalem, Fernand Pelletier, A. Berrabah

Publication date: 17 August 2006

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2006.03.006

zbMATH Keywords

heat equationPontryagin's maximum principlesub-Riemannian geometryinfinite dimensional systems

Mathematics Subject Classification ID

Controllability (93B05) Maximum principles in context of PDEs (35B50) Control problems involving ordinary differential equations (34H05) General theory of partial differential operators (47F05) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Methods of local Riemannian geometry (53B21)

Related Items (3)

Optimal control problem governed by an infinite dimensional two-nilpotent bilinear system ⋮ On Sussmann theorem for orbits of sets of vector fields on Banach manifolds ⋮ Unnamed Item

Cites Work

• The optimal control of systems with distributed parameters
• Semigroups of linear operators and applications to partial differential equations
• Optimal control of systems governed by a class of nonlinear evolution equations in a reflexive Banach space
• A unified theory of necessary conditions for nonlinear nonconvex control systems
• On the variational principle
• A survey of singular curves in sub-Riemannian geometry
• Synthesis of nonlinear observers: A harmonic-analysis approach
• Necessary Conditions for Optimality of Cauchy Problems for Parabolic Partial Differential Systems
• Optimal Control for Processes Governed by Mildly Nonlinear Differential Equations of Parabolic Type I
• Infinite-Dimensional Volterra–Stieltjes Evolution Equations and Related Optimal Control Problems
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