Avoidance Control on Time Scales
Optimization and Control
2010-05-05 v2
Abstract
We consider dynamic systems on time scales under the control of two agents. One of the agents desires to keep the state of the system out of a given set regardless of the other agent's actions. Leitmann's avoidance conditions are proved to be valid for dynamic systems evolving on an arbitrary time scale.
Cite
@article{arxiv.0910.3308,
title = {Avoidance Control on Time Scales},
author = {Ewa Pawluszewicz and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:0910.3308},
year = {2010}
}
Comments
Revised edition in JOTA format. To appear in J. Optim. Theory Appl. 145 (2010), no. 3. In Press