Periodic control problems for a class of nonlinear periodic differential systems

DOI10.1016/0362-546X(83)90105-0zbMath0502.49004MaRDI QIDQ3968043

Paolo Nistri

Publication date: 1983

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

topological degreeFredholm operatorperiodic control problems

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Nonlinear systems in control theory (93C10) Degree, winding number (55M25) Existence theories for optimal control problems involving ordinary differential equations (49J15) Fredholm integral equations (45B05) Optimality conditions for problems involving ordinary differential equations (49K15) Integral, integro-differential, and pseudodifferential operators (47Gxx)

Related Items (7)

The Existence of Periodic Solutions to Nonautonomous Differential Inclusions ⋮ Periodic solutions of a control problem via marginal maps ⋮ An optimal control problem in \(L^{\infty}\) ⋮ On some general almost periodic Optimal Control problems: links with periodic problems and necessary conditions ⋮ Optimal control problems via a direct method ⋮ Optimality for periodic control of functional differential systems ⋮ Maximum principle of optimal periodic control for functional differential systems

Cites Work

• Spectral analysis of nonlinear operators
• The existence of optimal controls
• Elliptic equations with noninvertible Fredholm linear part and bounded nonlinearities
• Comparison between two sufficient conditions for improvement of an optimal steady-state process by periodic operation
• Equivalence theorems for nonlinear operator equations and coincidence degree theory for some mappings in locally convex topological vector spaces
• Hamilton-Jacobi theory for periodic control problems
• Status of periodic optimization of dynamical systems
• Second-variation methods in periodic optimization
• Set-valued perturbations of differential equations at resonance
• Optimal Control and the True Hamiltonian
• On Variational Theory and Optimal Control Theory
• Necessary conditions for optimality in a general class of non-linear mixed boundary value control problems†
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