A Novel Delay Dependent Stability Analysis of Neural Networks Using LMI Approach

Authors

  • P. Baskar  Department of Mathematics, New Horizon college of Engineering, Bangalore-03 baskarp272@gmail.com1
  • S Padmanabhan  Department of Mathematics, R.N.S. Institute of Technology, Bangalore-98 padmanabhanrnsit@gmail.com2
  • Umesha. V  Department of Mathematics, Dayananda sagar college of Engineering, Bangalore-78

Keywords:

Stability, Delay-dependent stability, Asymptotic stability, Linear Matrix Inequality, Lyapunov- Krasovskii functional, Time-varying delay.

Abstract

In this paper we designed and evaluated the asymptotic stability of Neural network with time Delays is investigated. Based on a novel “Lyapunov kravoski’s functional method (LKF)” and “Linear matrix inequality (LMI)” a new delay dependent stability condition is derived. These stability conditions are formulated as linear matrix inequalities (LMIs) which can be easily write in the form of by various convex optimization algorithms and it can be effectively solved by the use of "MATLAB programming".

References

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IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology

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Published

2019-12-30

Issue

Volume 4, Issue 9, November-December-2019

Section

Research Articles

License

Copyright (c) IJSRCSEIT

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
P. Baskar, S Padmanabhan, Umesha. V, " A Novel Delay Dependent Stability Analysis of Neural Networks Using LMI Approach" International Journal of Scientific Research in Computer Science, Engineering and Information Technology(IJSRCSEIT), ISSN : 2456-3307, Volume 4, Issue 9, pp.196-199, November-December-2019.