Abstract
This work is devoted to stability of nonlinear hybrid systems (or nonlinear systems with regime switching). The switching regime is described by a finite-state Markov chain. Both continuous-time and discrete-time systems are considered. Aiming at reduction of complexity, the system is setup as one with two-time scales which gives rise to a limit system as the jump rate of the underlying Markov chain goes to infinity. Using perturbed Liapunov function methods, the stability of the original system in an appropriate sense is obtained provided that the corresponding limit system is stable.
Dedicated to Professor Arthur J. Krener on the Occasion of His 60th Birthday
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Editor information
Rights and permissions
About this paper
Cite this paper
Yin, G., Zhang, Q. Stability of Nonlinear Hybrid Systems. In: Kang, W., Borges, C., Xiao, M. (eds) New Trends in Nonlinear Dynamics and Control and their Applications. Lecture Notes in Control and Information Science, vol 295. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45056-6_16
Download citation
DOI: https://doi.org/10.1007/978-3-540-45056-6_16
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-40474-3
Online ISBN: 978-3-540-45056-6
eBook Packages: Springer Book Archive