On strict Lyapunov functions for rapidly time-varying nonlinear systems

Document Type

Conference Proceeding

Publication Date

12-1-2006

Abstract

We explicitly construct Lyapunov functions for rapidly time-varying nonlinear 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 globally asymptotically stable. This leads to new sufficient conditions for global exponential, global asymptotic, and input-to-state stability of fast time-varying dynamics. We apply our results to two examples. ©2006 IEEE.

Publication Source (Journal or Book title)

Proceedings of the American Control Conference

First Page

2303

Last Page

2308

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