Viability, the solution set, and fixed point approximation of hybrid systems

This paper develops an approach for ensuring viability of hybrid systems under sampling. An algorithm based on the Fast Viability Kernel Algorithm for continuous-time viability is developed for hybrid systems with time independent constraint sets. The general existence of a fixed point for the algorithm is examined. The application of the algorithm to one control law class is carried out. His paper develops an approach for ensuring viability of hybrid systems under sampling. An algorithm based on the Fast Viability Kernel Algorithm for continuous-time viability is developed for hybrid systems with time independent constraint sets. The general existence of a fixed point for the algorithm is examined. The application of the algorithm to one control law class is carried out.