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Stability in Switched Cohen-Grossberg Neural Networks with Mixed Time Delays and Non-Lipschitz Activation Functions
- Source :
- Discrete Dynamics in Nature and Society, Vol 2012 (2012)
- Publication Year :
- 2012
- Publisher :
- Hindawi Limited, 2012.
-
Abstract
- The stability for the switched Cohen-Grossberg neural networks with mixed time delays andĪ±-inverse Hölder activation functions is investigated under the switching rule with the average dwell time property. By applying multiple Lyapunov-Krasovskii functional approach and linear matrix inequality (LMI) technique, a delay-dependent sufficient criterion is achieved to ensure such switched neural networks to be globally exponentially stable in terms of LMIs, and the exponential decay estimation is explicitly developed for the states too. Two illustrative examples are given to demonstrate the validity of the theoretical results.
- Subjects :
- Article Subject
Artificial neural network
lcsh:Mathematics
Linear matrix inequality
Inverse
lcsh:QA1-939
Lipschitz continuity
Computer Science::Digital Libraries
Stability (probability)
Dwell time
Exponential stability
Computer Science::Systems and Control
Control theory
Modeling and Simulation
Computer Science::Mathematical Software
Exponential decay
Mathematics
Subjects
Details
- ISSN :
- 1607887X and 10260226
- Volume :
- 2012
- Database :
- OpenAIRE
- Journal :
- Discrete Dynamics in Nature and Society
- Accession number :
- edsair.doi.dedup.....107e935429ef6da22b2d00c2ee2e64b2