Construction of strict Lyapunov function for nonlinear parameterised perturbed systems

Subject Areas : History and biography

B. Ghanmi ¹ , M. A. Hammami ²

1 - Faculty of science, University of Sfax, Sfax, Tunisia
2 - Faculty of science, University of Sfax, Sfax, Tunisia

Received: 2016-02-14 Accepted : 2016-08-20 Published : 2016-12-01

Keywords: Lyapunov function, Perturbed systems, uniform exponential stability,

Abstract :

In this paper, global uniform exponential stability of perturbed dynamical systemsis studied by using Lyapunov techniques. The system presents a perturbation term which isbounded by an integrable function with the assumption that the nominal system is globallyuniformly exponentially stable. Some examples in dimensional two are given to illustrate theapplicability of the main results.

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