MTNS 2006 Paper Abstract

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

MTNS 2006 Paper Abstract

Paper WeA05.2

Verriest, Erik I. (Georgia Inst. of Tech.)

Multi-Mode Multi-Dimensional Systems

Scheduled for presentation during the Regular Session "Hybrid Systems I" (WeA05), Wednesday, July 26, 2006, 10:50−11:15, Room F

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 April 25, 2024

Keywords Hybrid systems modelling, Control of hybrid systems, Optimal control

Abstract

The dynamics hybrid systems, with mode dynamics of different dimensions is analyzed under various switching conditions (pseudo continuity and energy limited transitions). In particular, we focus on the optimal timing (switching) control for such multi-mode multi-dimensional (MMMD) systems. Necessary conditions for a stationary solution are derived and shown to extend the known results for the equal dimension case. This problem is of interest in the approximate and reduced order modelling for nonlinear systems.