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New delay-dependent stability criteria for neural networks with time-varying interval delay |
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| Authors: | Jie Chen GP Liu D Rees |
| Institution: | a School of Automation, Beijing Institute of Technology, Beijing, 100081, China b Faculty of Advanced Technology, University of Glamorgan, Pontypridd CF37 1DL, UK c CTGT Center in Harbin Institute of Technology, Harbin, 150001, China |
| Abstract: | The problem of stability analysis of neural networks with time-varying delay in a given range is investigated in this Letter. By introducing a new Lyapunov functional which uses the information on the lower bound of the delay sufficiently and an augmented Lyapunov functional which contains some triple-integral terms, some improved delay-dependent stability criteria are derived using the free-weighting matrices method. Numerical examples are presented to illustrate the less conservatism of the obtained results and the effectiveness of the proposed method. |
| Keywords: | Delay-dependent stability Time-varying delay Neural networks Linear matrix inequality (LMI) |
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