Collins, Pieter (Centrum voor Wiskunde en Informatica)

Generalised Hybrid Trajectory Spaces

Scheduled for presentation during the Regular Session "Hybrid Systems II" (ThP07), Thursday, July 27, 2006, 16:35−17:00, Room H

17th International Symposium on Mathematical Theory of Networks and Systems, July 24-28, 2006, Kyoto, Japan

This information is tentative and subject to change. Compiled on May 19, 2024

Abstract

In this paper we consider various frameworks for representing the trajectories of a hybrid system. We compare several existing frameworks, paying particular attention to convergence of trajectories. We then generalise the approach based on hybrid time domains, firstly to deal with Zeno behaviour, and then to a highly general abstract framework. We illustrate the results with the example of a bouncing ball and particles moving with multiple collisions.