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Synchronization of Singular Markovian Jumping Neutral Complex Dynamical Networks with Time-Varying Delays via Pinning Control

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Abstract

This article discusses the synchronization problem of singular neutral complex dynamical networks (SNCDN) with distributed delay and Markovian jump parameters via pinning control. Pinning control strategies are designed to make the singular neutral complex networks synchronized. Some delay-dependent synchronization criteria are derived in the form of linear matrix inequalities based on a modified Lyapunov-Krasovskii functional approach. By applying the Lyapunov stability theory, Jensen’s inequality, Schur complement, and linear matrix inequality technique, some new delay-dependent conditions are derived to guarantee the stability of the system. Finally, numerical examples are presented to illustrate the effectiveness of the obtained results.

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Author information

Authors and Affiliations

  1. APS College of Engineering, Bangalore, 560082, India

    K. S. Anand

  2. MMES College of Arts and Science, Melvisharam, Tamilnadu, India

    J. Yogambigai

  3. Reva Institute of Technology and Management, Bengaluru, 560064, India

    G. A. Harish Babu

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

    M. Syed Ali

  5. RNS Institute of Technology, Channasandra, Bangalore, 560098, India

    S. Padmanabhan

Authors
  1. K. S. Anand
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  2. J. Yogambigai
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  3. G. A. Harish Babu
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  4. M. Syed Ali
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  5. S. Padmanabhan
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Corresponding author

Correspondence to M. Syed Ali.

Additional information

The work of author was supported by NBHM grant. 2/48 (5)/2016/NBHMR.P)/- R -D II/ 14088

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Anand, K.S., Yogambigai, J., Harish Babu, G.A. et al. Synchronization of Singular Markovian Jumping Neutral Complex Dynamical Networks with Time-Varying Delays via Pinning Control. Acta Math Sci 40, 863–886 (2020). https://doi.org/10.1007/s10473-020-0319-y

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  • DOI: https://doi.org/10.1007/s10473-020-0319-y

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