Existence and Stability of Periodic Solutions in Delayed Cellular Neural Networks with Impulses |
Received:April 02, 2007 Revised:January 02, 2008 |
Key Words:
neural networks periodic solution exponential stability delay impulses.
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Fund Project:the National Natural Science Foundation of China (No.\,10671158); NWNU-KJCXGC-212 and GS-55-CXRC. |
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Abstract: |
By using the continuation theorem of Mawhin's coincidence degree theory, H\"{o}lder inequality and some analysis techniques, some effective results are obtained ensuring existence and global exponential stability of periodic solutions in delayed cellular neural networks with impulses. An illustrative example is given to demonstrate the effectiveness of the obtained results. |
Citation: |
DOI:10.3770/j.issn:1000-341X.2009.03.017 |
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