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Reports (Research Report) Year : 2016

Stability Analysis for Impulsive Systems: 2D Vector Lyapunov Function Approach

Hector Ríos
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L Hetel
Denis Efimov

Abstract

This paper contributes to the stability analysis for impulsive dynamical systems based on a vector Lyapunov function and its divergence operator. The new method relies on a 2D time domain representation. The result is illustrated for the exponential stability of linear impulsive systems based on LMIs. The obtained results provide some notions of minimum and maximum dwell-time. Some examples illustrate the feasibility of the proposed approach.

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Dates and versions

hal-01280321 , version 1 (29-02-2016)

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  • HAL Id : hal-01280321 , version 1

Cite

Hector Ríos, L Hetel, Denis Efimov. Stability Analysis for Impulsive Systems: 2D Vector Lyapunov Function Approach. [Research Report] Inria Lille - Nord Europe. 2016. ⟨hal-01280321⟩
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