Vol. 3 No. 2 (2019): Vol 3, Iss 2, Year 2019
Articles

Dissipativity and Passivity analysis of neural networks with mixed-time-varying delays

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  • Shyamsundarraj N,
  • Mahendrakumar G,
  • Samidurai R
Shyamsundarraj N
Department of Mathematics, Voorhees College, Vellore-632 001, India
Mahendrakumar G
Department of Mathematics, Thiruvalluvar University, Vellore-632 115, India.
Samidurai R
Department of Mathematics, Thiruvalluvar University, Vellore-632 115, India.
DOI: https://doi.org/10.26524/cm57
Published December 30, 2019
Keywords
  • Dissipativity Analysis, Passivity analysis, Neural networks, Lyapunov-Krasovskii functional, Mixed time delays.
How to Cite
N, S., G, M., & R, S. (2019). Dissipativity and Passivity analysis of neural networks with mixed-time-varying delays. Journal of Computational Mathematica, 3(2), 85-99. https://doi.org/10.26524/cm57

Abstract

This paper focuses on the problem of Dissipativity and Passivity analysis of NNs with mixed-time-varying delays. By employing Lyapunov functional approach, some sufficient conditions are derived to guarantee that the considered NNs are strictly (Q, S, R)−γ-Dissipative and Passivity. Based on Lyapunov stability theory, proper Lyapunov-Krasovskii functional (LKF) with some new terms is constructed, and estimating their derivative by using newlyndeveloped single integral inequality that includes Jensens inequality which can be easily checked by applying MATLAB LMT toolkit. Three Numerical example is finally provided to demonstrate the effectiveness and advantages of the proposed method.

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