Title :
A local stability condition for optimal control problems
Author_Institution :
Fac. of Manage., Toronto Univ., Ont., Canada
Abstract :
The modified Hamiltonian dynamical system associated with a discounted infinite-horizon optimal control problem is considered. It is shown that the sufficient conditions for global asymptotic stability developed by the author (J. Econ. Theory, vol.48, 1989) are also necessary for local asymptotic stability, if the stationary point under consideration is symmetric or the discount rate is zero
Keywords :
optimal control; stability; discounted infinite-horizon optimal control; global asymptotic stability; local stability condition; modified Hamiltonian dynamical system; stationary point; Asymptotic stability; Differential equations; Infinite horizon; Jacobian matrices; Mathematics; Optimal control; Sufficient conditions;
Conference_Titel :
Decision and Control, 1989., Proceedings of the 28th IEEE Conference on
Conference_Location :
Tampa, FL
DOI :
10.1109/CDC.1989.70119
