Nonturnpike optimal solutions and their approximations in infinite horizon

DOI10.1007/s10957-007-9206-0zbMath1129.49036OpenAlexW2033464350MaRDI QIDQ2454737

Pierre Cartigny, Alain Rapaport

Publication date: 16 October 2007

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

Full work available at URL: https://doi.org/10.1007/s10957-007-9206-0

zbMATH Keywords

infinite horizonHamilton-Jacobi equationcalculus of variationsviscosity solutionsturnpikes

Mathematics Subject Classification ID

Viscosity solutions to Hamilton-Jacobi equations in optimal control and differential games (49L25) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (6)

Solving infinite-horizon optimal control problems of the time-delayed systems by Haar wavelet collocation method ⋮ Existence and structure of solutions for a class of optimal control systems with discounting arising in economic dynamics ⋮ Two turnpike results for a discrete-time optimal control systems ⋮ One-dimensional infinite horizon nonconcave optimal control problems arising in economic dynamics ⋮ Stability of a turnpike phenomenon for a discrete-time optimal control system ⋮ Optimal and Sub-optimal feedback controls for biogas production

Cites Work

• A new sufficient condition for most rapid approach paths
• Viscosity solutions of Hamilton-Jacobi equations
• Competition between most rapid approach paths: necessary and sufficient conditions
• Turnpike properties in the calculus of variations and optimal control
• Turnpike theorems by a value function approach
• Optimal control and viscosity solutions of Hamilton-Jacobi-Bellman equations
• Unnamed Item
• Unnamed Item

This page was built for publication: Nonturnpike optimal solutions and their approximations in infinite horizon