论文信息 - On Existence of Overtaking Optimal Trajectories Over an Infinite Time Horizon

On Existence of Overtaking Optimal Trajectories Over an Infinite Time Horizon

The optimal control problem on an infinite horizon is considered in the case where there is no discounting. Under general convexity assumptions the existence of overtaking optimal and of weakly overtaking optimal trajectories is established. Convergence properties of optimal trajectories toward an optimal steady state are also proved.

Alain Haurie | W. A. Brock | W. Brock | A. Haurie

[1] von Weizäscker,et al. Existence of Optimal Programs of Accumulation for an Infinite Time Horizon , 1965 .

[2] A. F. Veinott. ON FINDING OPTIMAL POLICIES IN DISCRETE DYNAMIC PROGRAMMING WITH NO DISCOUNTING , 1966 .

[3] D. Gale. On Optimal Development in a Multi-Sector Economy , 1967 .

[4] W. Brock. On Existence of Weakly Maximal Programmes in a Multi-Sector Economy , 1970 .

[5] R. Rockafellar. Saddle points of hamiltonian systems in convex problems of Lagrange , 1973 .

[6] H. Halkin. Necessary conditions for optimal control problems with infinite horizons , 1974 .

[7] A. Haurie. Optimal control on an infinite time horizon: The turnpike approach , 1976 .