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The Journal of Analysis

, Volume 27, Issue 1, pp 179–196 | Cite as

Stochastic stability of mode-dependent Markovian jump inertial neural networks

  • R. KrishnasamyEmail author
  • Raju K. George
Original Research Paper
  • 30 Downloads

Abstract

The problem of stochastic stability analysis for Markovian jump inertial neural networks with mode-dependent time-varying delay is considered in this paper. The time-delay is assumed to be mode-dependent and time-varying. Using the suitable transformation technique, the second-order inertial neural network model is transformed into a system of first-order differential equations model. Delay-dependent stochastic stability condition is formulated in terms of linear matrix inequalities through the construction of Lyapunov–Krasovskii functional candidate involving mode-dependent time-varying delay. An integral inequality technique is used in the process to find the bounds of some integral terms. Finally, a numerical example is illustrated to show the effectiveness of the derived theoretical results.

Keywords

Inertial neural networks Stochastic stability Linear matrix inequality Lyapunov–Krasovskii functional Markovian jump Mode-dependent delay 

Mathematics Subject Classification

34K20 93E15 70J25 

Notes

Acknowledgements

The work of the first author (R. Krishnasamy) is supported by the Science & Engineering Research Board (SERB), Department of Science & Technology, Government of India, New Delhi for the financial assistance through National Post-Doctoral Fellowship scheme (file No. PDF/2016/002992 dated 01/04/2017). Authors are very much thankful to the Editor-in-chief, Associate editor and anonymous reviewers for their careful reading, constructive comments and fruitful suggestions to improve the quality of this manuscript.

Compliance with ethical standards

Conflict of Interest

The authors declare that they have no conflict of interest.

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Copyright information

© Forum D'Analystes, Chennai 2018

Authors and Affiliations

  1. 1.Department of MathematicsIndian Institute of Space Science and TechnologyThiruvananthapuramIndia

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