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Finite Time H∞ Boundedness of Discrete-time Markovian Jump Neural Networks with Time-varying Delays

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  • Control Theory and Applications
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Abstract

This paper is concerned with the problem of finite-time H∞ boundedness of discrete-time Markovian jumping neural netwoks with time-varying delays. A new sufficient condition is presented which guarantees the stability of the closed-loop system and the same time maximizes the boundedness on the non-linearity. An extension of fixed transition probability Markovian model is combined to time-varying transition probabilities has offered. By constructing a novel Lyapunov-Krasovskii functional, the system under consideration is subject to interval timevarying delay and norm-bounded disturbances. Linear matrix inequality approach is used to solve the finite-time stability problem. Numerical example is given to illustrate the effectiveness of the proposed result.

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Authors and Affiliations

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

    M. Syed Ali, K. Meenakshi & N. Gunasekaran

Authors
  1. M. Syed Ali
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  2. K. Meenakshi
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  3. N. Gunasekaran
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Correspondence to M. Syed Ali.

Additional information

Recommended by Associate Editor Yingmin Jia under the direction of Editor Euntai Kim.

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.

K. Meenakshi received the B.Sc. and M.Sc. from Thiruvalluvar University in 2011. She was awarded Master of Philosophy in the year 2012 from Thiruvalluvar University. Currently she is pursuing Ph.D.degree under Thiruvalluvar University, Vellore, Tamilnadu, India.

N. Gunasekaran was born in 1987. He received the B.Sc degree in 2009 from Periyar University, Salem, Tamil Nadu, India. He received his post graduation in 2012. He was awarded Master of Philosophy in 2014 in the field of Mathematics with specialized area of Cryptography from Bharathidasan University, Trichy, India. Currently he is pursuing Ph.D. degree under the supervision of an Assistant Professor Dr. M. Syed Ali, in the Department of Mathematics, Thiruvalluvar University, Tamil Nadu, India.

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Syed Ali, M., Meenakshi, K. & Gunasekaran, N. Finite Time H∞ Boundedness of Discrete-time Markovian Jump Neural Networks with Time-varying Delays. Int. J. Control Autom. Syst. 16, 181–188 (2018). https://doi.org/10.1007/s12555-016-0712-4

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  • DOI: https://doi.org/10.1007/s12555-016-0712-4

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