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Nonlinear Impulsive Systems: 2D Stability Analysis Approach

Abstract : This paper contributes to the stability analysis for nonlinear impulsive dynamical systems based on a vector Lyapunov function and its divergence operator. The new method relies on a 2D time domain representation. Different types of stability notions for a class of nonlinear impulsive systems are studied using a vector Lyapunov function approach. The results are applied to analyze the stability of a class of Lipschitz nonlinear impulsive systems based on Linear Matrix Inequalities. Some numerical examples illustrate the feasibility of the proposed approach.
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https://hal.inria.fr/hal-01437308
Contributor : Denis Efimov <>
Submitted on : Tuesday, January 17, 2017 - 10:40:41 AM
Last modification on : Tuesday, September 29, 2020 - 12:24:10 PM
Long-term archiving on: : Tuesday, April 18, 2017 - 12:47:34 PM

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  • HAL Id : hal-01437308, version 1

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Héctor Ríos, Laurentiu Hetel, Denis Efimov. Nonlinear Impulsive Systems: 2D Stability Analysis Approach. Automatica, Elsevier, 2017. ⟨hal-01437308⟩

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