Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 391, Issue -, Pages -Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2020.125631
Keywords
Neural networks; Fast-varying delay; Stability analysis; Lyapunov-Krasovskii functional
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Funding
- National Natural Science Foundation of China [61973284]
- 111 Project [B17040]
- Fundamental Research Funds for National Universities, China University of Geosciences
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This paper introduces an improved augmented Lyapunov-Krasovskii functional to address the stability analysis issue of generalized neural networks with fast-varying delay. By utilizing specific methods and strategies based on the augmented LKF, a less conservative delay-dependent stability criterion is proposed. Numerical examples demonstrate the effectiveness of this criterion.
This paper studies the problem of stability analysis of generalized neural networks (GNN) with a fast-varying delay. Firstly, an improved augmented Lyapunov-Krasovskii func-tional (LKF) is proposed by fully considering more states information about interrelated systems and neuron activation function conditions. Then, to handle the derivative of the LKF, the generalized reciprocally convex combination and a relaxed quadratic function negative-determination are employed. Based on these methods and the augmented LKF, a less conservative delay-dependent stability criterion for GNN with a fast-varying delay is presented. Finally, some numerical examples are given to demonstrate the effective superiority of the proposed criterion. (c) 2020 Elsevier Inc. All rights reserved.
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