Journal
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
Volume 354, Issue 18, Pages 8626-8644Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.jfranklin.2017.09.036
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Funding
- National Natural Science Foundation of China [61633011, 61374078]
- Chongqing Research Program of Basic Research and Frontier Technology [cstc2015jcyjBX0052]
- Qatar National Research Fund (Qatar Foundation) [NPRP 4-1162-1-181]
- Graduate Student Research Innovation Project of Chongqing [CYB17076]
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This paper mainly tends to consider the fixed-time stability behavior for impulsive dynamical systems. An efficient theorem is established to construct an impulsive comparison system. By means of inequality analysis method, certain average impulsive interval and Lyapunov function, some sufficient conditions are given to ensure the fixed-time stability of impulsive dynamical systems. Moreover, as an important application, the fixed-time stabilization of a class of coupled impulsive neural networks is proposed. By designing a discontinuous control law, several new criteria are obtained to guarantee the fixed-time stabilization of the coupled impulsive neural networks. Finally, two numerical simulations are provided to illustrate the validity of the theoretical analysis. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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