State Estimation for Delayed Neural Networks With Stochastic SampledData Control

ZENG Deqiang; WU Kaiteng; SONG Qiankun; ZHANG Ruimei; ZHONG Shouming

doi:10.21656/1000-0887.380273

Volume 39 Issue 7

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Article Navigation > Applied Mathematics and Mechanics > 2018 > 39(7): 821-832

ZENG Deqiang, WU Kaiteng, SONG Qiankun, ZHANG Ruimei, ZHONG Shouming. State Estimation for Delayed Neural Networks With Stochastic SampledData Control[J]. Applied Mathematics and Mechanics, 2018, 39(7): 821-832. doi: 10.21656/1000-0887.380273

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State Estimation for Delayed Neural Networks With Stochastic SampledData Control

doi: 10.21656/1000-0887.380273

¹Data Recovery Key Laboratory of Sichuan Province, and Numerical Simulation Key Laboratory of Sichuan Province, Neijiang Normal University, Neijiang, Sichuan 641100, P.R.China;²Department of Mathematics, Chongqing Jiaotong University, Chongqing 400074, P.R.China;³School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, P.R.China;⁴Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L3G1, Canada

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

Received Date: 2017-10-31
Rev Recd Date: 2017-11-02
Publish Date: 2018-07-15

Abstract

Abstract

The problem of the state estimation for delayed neural networks with stochastic sampleddata control was studied. First, a unified probability framework involving the stochastic sampling interval and the sampling input delay was proposed. Second, based on this unified probability framework, a new LyapunovKrasovskii functional (LKF) with some new terms was constructed. Third, with this LKF and some inequality technologies, a less conservative criterion was established, which can ensure the stochastic stability of the error system. The desired state estimator was designed. Finally, numerical simulation results show the effectiveness and advantages of the proposed method.
- delayed neural network,
- stochastic sampling,
- state estimation,
- LyapunovKrasovskii functional

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References

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