@article {22, title = {Invariance principles for switching systems via hybrid systems techniques}, journal = {Systems \& Control Letters}, volume = {57}, number = {12}, year = {2008}, month = {December}, pages = {980-986}, abstract = {Invariance principles and sufficient conditions for asymptotic stability for switching systems are given. Multiple Lyapunov-like functions are used, and dwell-time, persistent dwell-time, and weak dwell-time switching signals are considered. The invariance principles are derived from general invariance principles for hybrid systems. Asymptotic stability is concluded under observability assumptions or common bounds on the Lyapunov-like functions.}, keywords = {hybrid systems}, doi = {http://www.sciencedirect.com/science/article/pii/S0167691108001035}, url = {https://hybrid.soe.ucsc.edu/files/preprints/22.pdf}, author = {R. Goebel and R. G. Sanfelice and A. R. Teel} }