Finite-Time Boundedness Analysis of Uncertain Neural Networks with Time Delay: An LMI Approach

Authors:
Yanjun Shen;Lin Zhu;Qi Guo
Affiliations:
The Institute of Nonlinear Complex System, China Three Gorges University, YiChang, 443002, China;The Institute of Nonlinear Complex System, China Three Gorges University, YiChang, 443002, China;School of Economic & Management, Three Gorges University, YiChang, 443002, China
Venue:
ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Advances in Neural Networks
Year:
2007

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Abstract

This paper considers the problem of finite-time boundedness (FTB) of the general delayed neural networks with norm-bounded parametric uncertainties. The concept of FTB for time delay system is extended first. Then, based on the Lyapunov function and linear matrix inequality (LMI) technique, some delay-dependent criteria are derived to guarantee FTB. The conditions can be reduced to a feasibility problem involving linear matric inequalities (LMIs). Finally, two examples are given to demonstrate the validity of the proposed methodology.