ISSN:
1573-2878
Keywords:
Optimal control
;
Hamilton-Jacobi theory
;
infinite horizon
;
equivalent variational problems
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract In this paper, we extend Carathéodory's concept of equivalent variational problems to infinite-horizon optimal control problems. In such a setting, the usual concept of a minimum need not exist, and we therefore consider a weaker definition of optimality, known as catching up optimality. The extension presented here leads us to a Hamilton-Jacobi theory for infinite-horizon optimal control problems that closely parallels the classical work of Carathéodory as well as providing sufficient conditions for optimality. Finally, we show that the results given here subsume several previously known results as a special case.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00940673
