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Further Results on Strict Lyapunov Functions for Rapidly Time-Varying Nonlinear Systems by Mazenc, Frederic; Malisoff, Michael; de Queiroz, Marcio S. is a scholarly article available to read on EtoBox.

What is Further Results on Strict Lyapunov Functions for Rapidly Time-Varying Nonlinear Systems about?

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 a friction control example.

Author

Mazenc, Frederic; Malisoff, Michael; de Queiroz, Marcio S.

Published

2006

Language

EN