Title

Strict lyapunov function constructions under lasalle conditions with an application to lotka-volterra systems

Document Type

Article

Publication Date

4-1-2010

Abstract

We provide new techniques for building explicit global strict Lyapunov functions for broad classes of periodic time varying nonlinear systems satisfying LaSalle conditions. We illustrate our work using the Lotka-Volterra model, which plays a fundamental role in bioengineering. We use our strict Lyapunov constructions to prove robustness of the Lotka-Volterra tracking dynamics to uncertainty in the death rates. © 2006 IEEE.

Publication Source (Journal or Book title)

IEEE Transactions on Automatic Control

First Page

841

Last Page

854

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