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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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Submitted on : Tuesday, January 17, 2017 - 10:40:41 AM
Last modification on : Wednesday, October 6, 2021 - 1:50:03 PM
Long-term archiving on: : Tuesday, April 18, 2017 - 12:47:34 PM

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Héctor Ríos, Laurentiu Hetel, Denis Efimov. Nonlinear Impulsive Systems: 2D Stability Analysis Approach. Automatica, Elsevier, 2017, 80, pp.32-40. ⟨10.1016/j.automatica.2017.01.010⟩. ⟨hal-01437308⟩

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