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Abstract
In this article, stability of impulsive piecewise linear systems is investigated and a number of stability criteria are obtained based on Lyapunov functions. Both the stability results that impulses act as perturbation and the stability results that impulses act as stabiliser are given. Some examples are also presented to illustrate the effectiveness of the obtained results. It should be noted that it is the first time that the continuous time impulsive piecewise linear system is considered.
Acknowledgements
The authors thank the associate editor and the anonymous reviewers for their constructive comments and suggestions to improve the quality of this article. The work described in this paper is supported by the National Natural Science Foundation of China (10926114, 60904027, 60874027), ‘Chen Guang’ project is supported by the Shanghai Municipal Education Commission and the Shanghai Education Development Foundation (10CG18) and partially supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China [Project No.: CityU 112907].