Lyapunov function constructions for slowly time-varying systems
We provide general methods for explicitly constructing strict Lyapunov functions for general nonlinear slowly time-varying non-autonomous systems. Our results apply to cases where the given dynamics and corresponding frozen dynamics are not necessarily exponentially stable. This complements our previous Lyapunov function constructions for rapidly time-varying dynamics. We also explicitly construct input-to-state stable Lyapunov functions for slowly time-varying control systems. We illustrate our findings using a perturbed friction model with slowly time-varying coefficients. ©2006 IEEE.
Publication Source (Journal or Book title)
Proceedings of the IEEE Conference on Decision and Control
Mazene, F., & Malisoff, M. (2006). Lyapunov function constructions for slowly time-varying systems. Proceedings of the IEEE Conference on Decision and Control, 5108-5113. Retrieved from https://repository.lsu.edu/mathematics_pubs/1005