New stability criteria for uncertain neural networks with interval time-varying delays

作者：Wu Haixia^*; Feng Wei; Liang Xinyuan

来源：Cognitive Neurodynamics, 2008, 2(4): 363-370.

DOI：10.1007/s11571-008-9058-9

• Stability
• Neural networks
• Interval time-varying delays
• Parameter uncertainties
• Linear matrix inequality

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.

• 出版日期2008-12
• 单位重庆第二师范学院; 重庆大学