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Decentralized Event-triggered Stability Analysis of Neutral-type BAM Neural Networks with Markovian Jump Parameters and Mixed Time Varying Delays

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  • Control Theory and Applications
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Abstract

This paper investigates decentralized event-triggered stability analysis of neutral-type BAM neural networks with Markovian jump parameters and mixed time varying delays. We apply the decentralized event triggered approach to the bidirectional associative memory (BAM) neural networks to reduce the network traffic and the resource of computation. A bidirectional associative memory neural networks is constructed with the mixed time varying delays and Markov process parameters. The criteria for the asymptotically stability are proposed by using with the Lyapunov-Krasovskii functional method, reciprocal convex property and Jensen’s inequality. Stability condition of neutral-type BAM neural networks with Markovian jump parameters and mixed delays is established in terms of linear matrix inequalities. Finally three numerical examples are given to demonstrate the effectiveness of the proposed results

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Authors and Affiliations

  1. Department of Mathematics, Thiruvalluvar University, Vellore, 632 115, Tamilnadu, India

    M. Syed Ali & R. Vadivel

  2. School of Electrical Engineering, Chungbuk National University, Chungdae-ro 1, Cheongju, 28644, Korea

    O. M. Kwon

Authors
  1. M. Syed Ali
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  2. R. Vadivel
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  3. O. M. Kwon
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Corresponding author

Correspondence to O. M. Kwon.

Additional information

Recommended by Associate Editor Xiaojie Su under the direction of Editor Duk-Sun Shim. This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2016R1D1A1A09917886) and by the Brain Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Science, ICT & Future Planning (NRF-2017M3C7A1044815). This work was also supported by “Human Resources Program in Energy Technology” of the Korea Institute of Energy Technology Evaluation and Planning (KETEP), granted financial resource from the Ministry of Trade, Industry & Energy, Republic of Korea (No. 20164030201330).

M. Syed Ali graduated and Posdt gratuated from Bharathiar University, Coimbatore, Tamil Nadu, India, in 2002 and 2005, respectively. He was conferred with Doctor of Philosophy in 2010 in Gandhigram Rural University, Gandhigram, India. Since March 2011, he is working as an Assistant Professor in Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu, India. He has published more than 70 research papers in various SCI journals holding impact factors.

R. Vadivel received the B.Sc., M.Sc., and M.Phil. degrees in Mathematics from Sri Ramakrishna Mission Vidyalaya College of Arts and Science affiliated to Bharathiar University, Coimbatore, Tamil Nadu, India, in 2007, 2010, and 2012, respectively. He is currently pursuing a Ph.D. degree in Department of Mathematics, Thiruvalluvar University, Vellore, Tamil Nadu, India.

O. M. Kwon received his B.S. degree in Electronic Engineering from Kyungbuk National University, Daegu, Korea, in 1997, and his Ph.D. degree in Electrical and Electronic Engineering from POSTECH, Pohang, Korea, in 2004. From February 2004 to January 2006, he was a senior researcher in Mechatronics Center of Samsung Heavy Industries. He is currently working as a professor in School of Electrical Engineering, Chungbuk National University. His research interests include time-delay systems, cellular neural networks, robust control and filtering, large-scale systems, secure communication through synchronization between two chaotic systems, complex dynamical networks, multi-agent systems, and so on. He has been selected as one of THOMSON REUTERS 2015 and 2016 HIGHLY CITED RESEARCHERS in the field of Mathematics. He has presented more than 150 international papers in these areas. He is a member of KIEE, ICROS, and IEEK. Currently, he serves as an editorial member of ICROS, Nonlinear Analysis: Hybrid Systems, and IJCAS.

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Ali, M.S., Vadivel, R. & Kwon, O.M. Decentralized Event-triggered Stability Analysis of Neutral-type BAM Neural Networks with Markovian Jump Parameters and Mixed Time Varying Delays. Int. J. Control Autom. Syst. 16, 983–993 (2018). https://doi.org/10.1007/s12555-017-0089-z

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  • DOI: https://doi.org/10.1007/s12555-017-0089-z

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