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New stability criteria for uncertain neural networks with interval time-varying delays
Haixia Wu1, Wei Feng, Xinyuan Liang
1College of Computer Science and Engineering, Chongqing University, Chongqing, 400044, China, ammewu@163.com.
Abstract:
This paper is concerned with the stability analysis for neural networks with interval time-varying delays and parameter uncertainties. An approach combining the Lyapunov-Krasovskii functional with the differential inequality and linear matrix inequality techniques is taken to investigate this problem. By constructing a new Lyapunov-Krasovskii functional and introducing some free weighting matrices, some less conservative delay-derivative-dependent and delay-derivative-independent stability criteria are established in term of linear matrix inequality. And the new criteria are applicable to both fast and slow time-varying delays. Three numerical examples show that the proposed criterion are effective and is an improvement over some existing results in the literature.
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