Avoidance Control on Time Scales
arXiv:0910.3308 · doi:10.1007/s10957-010-9694-1
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.
Revised edition in JOTA format. To appear in J. Optim. Theory Appl. 145 (2010), no. 3. In Press