Avoidance Control on Time Scales

Details Avoidance Control on Time Scales Avoidance Control on Time Scales

2009-10-18

arxiv.org/abs/0910.3308v2

J. Optim. Theory Appl. 145 (2010), no. 3, 527-542

Mathematics

Optimization and Control

Revised edition in JOTA format. To appear in J. Optim. Theory Appl. 145 (2010), no. 3. In Press

Scientific paper

10.1007/s10957-010-9694-1

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.

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