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Event Triggered Finite Time \(H_{\infty }\) Boundedness of Uncertain Markov Jump Neural Networks with Distributed Time Varying Delays

  • M. Syed Ali
  • R. Vadivel
  • O. M. Kwon
  • Kadarkarai Murugan
Article
  • 68 Downloads

Abstract

This paper is concerned with the problem of event triggered finite time \(H_{\infty }\) boundedness of uncertain Markov jump neural networks with distributed time varying delays. To reduce the limited network bandwidth, an event triggered scheme is proposed in this paper. The main objective of this paper is to design the event triggered scheme, such that the proposed neural networks have finite time boundedness with admissible uncertainties. The integral terms in the derivative of the Lyapunov–Krasovskii functional are handled by the Wirtinger and Auxillary function based inequality techniques. The proposed conditions are represented by linear matrix inequalities to determine the finite time stability. The advantage of the method in this paper over some existing ones is shown by comparing the results with the existing results. At the end, numerical examples are given to verify the efficiency of the proposed method among them one example was supported by real-life application of the benchmark problem.

Keywords

Event triggered Markovian jump parameters Lyapunov–Krasovskii functional Linear matrix inequality Finite time boundedness 

Notes

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  • M. Syed Ali
    • 1
  • R. Vadivel
    • 1
  • O. M. Kwon
    • 2
  • Kadarkarai Murugan
    • 3
    • 4
  1. 1.Department of MathematicsThiruvalluvar UniversityVelloreIndia
  2. 2.School of Electrical EngineeringChungbuk National UniversityCheongjuRepublic of Korea
  3. 3.Division of Entomology, Department of Zoology, School of Life SciencesBharathiar UniversityCoimbatoreIndia
  4. 4.Thiruvalluvar UniversityVelloreIndia

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