Global Stability of Impulsive Complex-Valued Neural Networks With Time Delay on Time Scales

YAN Huan; SONG Qian-kun; ZHAO Zhen-jiang

doi:10.3879/j.issn.1000-0887.2015.11.007

Volume 36 Issue 11

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YAN Huan, SONG Qian-kun, ZHAO Zhen-jiang. Global Stability of Impulsive Complex-Valued Neural Networks With Time Delay on Time Scales[J]. Applied Mathematics and Mechanics, 2015, 36(11): 1191-1203. doi: 10.3879/j.issn.1000-0887.2015.11.007

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Global Stability of Impulsive Complex-Valued Neural Networks With Time Delay on Time Scales

doi: 10.3879/j.issn.1000-0887.2015.11.007

¹School of Information Science and Engineering, Chongqing Jiaotong University,Chongqing 400074, P.R.China;²Department of Mathematics, Chongqing Jiaotong University,Chongqing 400074, P.R.China;³Department of Mathematics, Huzhou University,Huzhou, Zhejiang 313000, P.R.China

Funds: The National Natural Science Foundation of China(（61273021; 61473332)

Received Date: 2015-06-16
Rev Recd Date: 2015-07-21
Publish Date: 2015-11-15

Abstract

Abstract

The global stability of impulsive complex-valued neural networks with time delay on time scales was investigated. Based on the time scale calculus theory, both the continuous-time and discrete-time neural networks were described under the same framework. For the considered complex-valued neural networks, the activation functions need not be bounded. According to the homeomorphism mapping principle in the complex domain, a sufficient condition for the existence and uniqueness of the equilibrium point of the addressed complex-valued neural networks was proposed in complex-valued linear matrix inequality (LMI). Through the construction of appropriate Lyapunov-Krasovskii functionals, and with the free weighting matrix method and matrix inequality technique, a delay-dependent criterion for checking the global stability of the complex-valued neural networks was established in the complex-valued LMIs. Finally, a simulation example shows the effectiveness of the obtained results.
- complex-valued neural network,
- time scale,
- time delay,
- impulsive,
- linear matrix inequality,
- global stability

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References(22)

References

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