1. Novel passivity criteria for neural networks with discrete and unbounded distributed time-varying delays.
- Author
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Zheng, Cheng-De and Wang, Zhanshan
- Subjects
- *
CELLULAR neural networks (Computer science) , *DISCRETE systems , *MATHEMATICAL bounds , *DISTRIBUTED computing , *TIME-varying networks , *SET theory , *LINEAR matrix inequalities - Abstract
Novel passivity criteria are presented for the passivity of a class of cellular neural networks with discrete and unbounded distributed time-varying delays. Two types of uncertainty are considered: one is time-varying structured uncertainty while the other is interval uncertainty. The Gu's discretized Lyapunov–Krasovskii functional method is integrated with the technique of introducing the free-weighting matrix between the terms of the Leibniz–Newton formula. The integrated method leads to the establishment of new delay-dependent sufficient conditions in form of linear matrix inequalities for passivity of delayed neural networks. A numerical simulation study is conducted to demonstrate the obtained theoretical results, which shows their less conservatism than the existing passivity criteria. [ABSTRACT FROM AUTHOR]
- Published
- 2013
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