Title
Further results on strict Lyapunov functions for rapidly time-varying nonlinear systems
Document Type
Article
Publication Date
10-1-2006
Abstract
We explicitly construct global strict Lyapunov functions for rapidly time-varying nonlinear control systems. The Lyapunov functions we construct are expressed in terms of oftentimes more readily available Lyapunov functions for the limiting dynamics which we assume are uniformly globally asymptotically stable. This leads to new sufficient conditions for uniform global exponential, uniform global asymptotic, and input-to-state stability of fast time-varying dynamics. We also construct strict Lyapunov functions for our systems using a strictification approach. We illustrate our results using several examples. © 2006 Elsevier Ltd. All rights reserved.
Publication Source (Journal or Book title)
Automatica
First Page
1663
Last Page
1671
Recommended Citation
Mazenc, F., Malisoff, M., & de Queiroz, M. (2006). Further results on strict Lyapunov functions for rapidly time-varying nonlinear systems. Automatica, 42 (10), 1663-1671. https://doi.org/10.1016/j.automatica.2006.05.020