Infinite dimensional infinite-horizon Pontryagin principles for discrete-time problems

DOI10.1007/s11228-014-0302-7zbMath1311.49055OpenAlexW2069016790MaRDI QIDQ2018761

Mohammed Bachir, Joël Blot

Publication date: 25 March 2015

Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11228-014-0302-7

zbMATH Keywords

Banach spacesdifference equationdiscrete-time problemsinfinite-horizon Pontryagin principles

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Existence theories for problems in abstract spaces (49J27) Difference equations (39A99) Optimality conditions for problems in abstract spaces (49K27) Optimality conditions for problems involving relations other than differential equations (49K21) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (4)

Turnpike phenomenon for a class of optimal control problems with a Lyapunov function ⋮ Optimal Control, Dichotomy, and Closed Range ⋮ Structure of approximate solutions of Bolza variational problems on large intervals ⋮ A turnpike property of trajectories of dynamical systems with a Lyapunov function

Cites Work

• Functional analysis, Sobolev spaces and partial differential equations
• Regularity and stability for the mathematical programming problem in Banach spaces
• Discrete time Pontryagin principles with infinite horizon
• Infinite-Horizon Optimal Control in the Discrete-Time Framework
• Introduction to the Theory of Nonlinear Optimization
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