In this paper we develop general techniques to study stability of hybrid systems with linear continuous dynamics. These techniques are based on matrix analysis and study of differentiable manifolds. These techniques operate on the space of switching times of the hybrid systems. Some special techniques for hybrid systems with three dimensional state space are also developed.
European Union Control Association
Computational Topology for Systems and Control
European Control Conference
Scientific Computing

Sella, L, & Collins, P.J. (2007). Stability Analysis of Switched-Linear Hybrid Systems. In Proceedings of the European Control Conference 2007 (pp. 105–112). European Union Control Association.