Document Type

Article

Publication Date

2-1-2007

Abstract

We provide general methods for explicitly constructing strict Lyapunov functions for fully nonlinear slowly time-varying 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 by constructing explicit Lyapunov functions for a pendulum model, an example from identification theory, and a perturbed friction model. © Springer-Verlag London Limited 2006.

Publication Source (Journal or Book title)

Mathematics of Control, Signals, and Systems

First Page

1

Last Page

21

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