Volume 16 Number 3
June 2019
Article Contents
Ya-Jun Li, Zhao-Wen Huang and Jing-Zhao Li. H∞ State Estimation for Stochastic Markovian Jumping Neural Network with Time-varying Delay and Leakage Delay. International Journal of Automation and Computing, vol. 16, no. 3, pp. 329-340, 2019. doi: 10.1007/s11633-016-0955-9
Cite as: Ya-Jun Li, Zhao-Wen Huang and Jing-Zhao Li. H∞ State Estimation for Stochastic Markovian Jumping Neural Network with Time-varying Delay and Leakage Delay. International Journal of Automation and Computing, vol. 16, no. 3, pp. 329-340, 2019.

# H∞ State Estimation for Stochastic Markovian Jumping Neural Network with Time-varying Delay and Leakage Delay

Author Biography:
• Zhao-Wen Huang received the Ph. D. degree in microelectronics and solid state electronics from South China Normal University, China in 2013. Currently, he is a lecturer in College of Electrical and Information Engineering of Shunde Polytechnic, China.
His research interests include the stability analysis of electronic system and new energy.
E-mail: 382799732@qq.com

Jing-Zhao Li received the M. Sc. degree in optoelectronic engineering from Jinan university, China in 2009. Currently, he is a lecturer in College of Electrical and Information Engineering of Shunde Polytechnic, China.
His research interest include laser stability analysis and nonlinear optics.
E-mail: ljzhemail@qq.com

• Corresponding author: Ya-Jun Li received the Ph. D. degree in control theory and control engineering from South China University of Technology, China in 2011. Currently, he is an associate professor in college of electrical and information engineering of Shunde Polytechnic.
His research interests include stability analysis, flltering of stochastic time-delay system and neural networks system.
E-mail: lyjflrst@163.com (Corresponding author)
ORCID iD: 0000-0001-7472-9185
• Accepted: 2015-05-11
• Published Online: 2016-06-20
• The H state estimation problem for a class of stochastic neural networks with Markovian jumping parameters and leakage delay is investigated in this paper. By employing a suitable Lyapunov functional and inequality technic, the sufficient conditions for exponential stability as well as prescribed H norm level of the state estimation error system are proposed and verified, and all obtained results are expressed in terms of strict linear matrix inequalities (LMIs). Examples and simulations are presented to show the effectiveness of the proposed methods, at the same time, the effect of leakage delay on stability of neural networks system and on the attenuation level of state estimator are discussed.
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## H∞ State Estimation for Stochastic Markovian Jumping Neural Network with Time-varying Delay and Leakage Delay

• ###### Corresponding author:Ya-Jun Li received the Ph. D. degree in control theory and control engineering from South China University of Technology, China in 2011. Currently, he is an associate professor in college of electrical and information engineering of Shunde Polytechnic. His research interests include stability analysis, flltering of stochastic time-delay system and neural networks system. E-mail: lyjflrst@163.com (Corresponding author) ORCID iD: 0000-0001-7472-9185

Abstract: The H state estimation problem for a class of stochastic neural networks with Markovian jumping parameters and leakage delay is investigated in this paper. By employing a suitable Lyapunov functional and inequality technic, the sufficient conditions for exponential stability as well as prescribed H norm level of the state estimation error system are proposed and verified, and all obtained results are expressed in terms of strict linear matrix inequalities (LMIs). Examples and simulations are presented to show the effectiveness of the proposed methods, at the same time, the effect of leakage delay on stability of neural networks system and on the attenuation level of state estimator are discussed.

Ya-Jun Li, Zhao-Wen Huang and Jing-Zhao Li. H∞ State Estimation for Stochastic Markovian Jumping Neural Network with Time-varying Delay and Leakage Delay. International Journal of Automation and Computing, vol. 16, no. 3, pp. 329-340, 2019. doi: 10.1007/s11633-016-0955-9
 Citation: Ya-Jun Li, Zhao-Wen Huang and Jing-Zhao Li. H∞ State Estimation for Stochastic Markovian Jumping Neural Network with Time-varying Delay and Leakage Delay. International Journal of Automation and Computing, vol. 16, no. 3, pp. 329-340, 2019.
Reference (42)

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