Journal
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL
Volume 32, Issue 4, Pages 490-503Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/14689367.2017.1280447
Keywords
Cellular neural networks; travelling waves solutions; exponential stability; weighted energy method; 35C07; 34K13; 92D25
Categories
Funding
- Postdoctoral Science Foundation of China [2014M551738]
- Open Research Project of the State Key Laboratory of Industrial Control Technology, Zhejiang University, China [ICT1544]
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In this paper, the exponential stability of travelling waves solutions for nonlinear cellular neural networks with distribute delays in the lattice is studied. The weighted energy method and comparison principle are employed to derive the sufficient conditions under which the networks proposed are exponentially stable. Following the study [13] on the existence of the travelling wave solutions in nonlinear delayed cellular neural networks, this paper is focused on the exponential stability of these travelling wave solutions.
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