Lagrangian Stability of Complex-Valued Neural Networks With Distributed Time-Varying Delays

ZHANG Lei; SONG Qian-kun

doi:10.21656/1000-0887.370378

Volume 38 Issue 10

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ZHANG Lei, SONG Qian-kun. Lagrangian Stability of Complex-Valued Neural Networks With Distributed Time-Varying Delays[J]. Applied Mathematics and Mechanics, 2017, 38(10): 1180-1186. doi: 10.21656/1000-0887.370378

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Lagrangian Stability of Complex-Valued Neural Networks With Distributed Time-Varying Delays

doi: 10.21656/1000-0887.370378

ZHANG Lei¹,
SONG Qian-kun²

¹Department of Basic, Sichuan Engineering Technical College, Deyang, Sichuan 618000, P.R.China;²Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, P.R.China

Funds: The National Natural Science Foundation of China(61773004)

Received Date: 2016-12-13
Rev Recd Date: 2016-12-13
Publish Date: 2017-10-15

Abstract

Abstract

The Lagrangian stability of complex-valued neural networks with distributed time-varying delays was investigated. By means of the Lyapunov-Krasovskii functional and the matrix inequality techniques, a delay-dependent sufficient condition was obtained to ensure the global exponential stability in a Lagrangian sense for the considered neural networks. The condition is expressed in the form of complex-valued linear matrix inequality, which can be checked numerically with the effective YALMIP toolbox in MATLAB.
- complex-valued neural network,
- distributed time-varying delay,
- Lagrangian stability,
- complex-valued linear matrix inequality

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References(26)

References

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