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.
Bibliographical noteFunding Information:
H. R?os gratefully acknowledges the financial support from CONACyT 270504. This work was supported in part by Conseil Region Nord-Pas de Calais (ARCIR Project ESTIREZ), the Government of Russian Federation (Grant 074-U01), the Ministry of Education and Science of Russian Federation (Project 14.Z50.31.0031), and ANR ROCC-SYS (ANR-14-CE27-0008). The material in this paper was partially presented at the 54th IEEE Conference on Decision and Control, December 15?18, 2015, Osaka, Japan. This paper was recommended for publication in revised form by Associate Editor Luca Zaccarian under the direction of Editor Andrew R. Teel.
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- 2D systems
- Nonlinear impulsive systems