Avoidance Control on Time Scales
Ewa Pawluszewicz, Delfim F. M. Torres
TL;DR
This paper extends avoidance control theory to dynamic systems on arbitrary time scales, proving Leitmann's conditions for ensuring system states avoid certain sets despite adversarial control actions.
Contribution
It generalizes avoidance control conditions to systems on arbitrary time scales, unifying discrete and continuous cases.
Findings
Leitmann's avoidance conditions are valid on arbitrary time scales.
The paper provides a theoretical foundation for avoidance control in hybrid systems.
It demonstrates the applicability of avoidance control beyond classical continuous or discrete systems.
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.
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