본문 바로가기
KERD
논문KCI 등재

New result concerning mean square exponential stability of uncertain stochastic delayed Hopfield neural networks

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

By using the Lyapunov functional method,stochastic analysis, and LMI (linear matrix inequality) approach,the mean square exponential stability of an equilibrium solution of uncertain stochastic Hopfield neural networks with delayed is presented. The proposed result generalizes and improves previous work. An illustrative example is also given to demonstrate the effectiveness of the proposed result.

Abstract

By using the Lyapunov functional method,stochastic analysis, and LMI (linear matrix inequality) approach,the mean square exponential stability of an equilibrium solution of uncertain stochastic Hopfield neural networks with delayed is presented. The proposed result generalizes and improves previous work. An illustrative example is also given to demonstrate the effectiveness of the proposed result.

참고문헌 (23)

  1. M. Basin, "Optimal filtering for nonlinear polynomial systems over linear observations with delay", Int. J. Innovative Comput. Inform. Control, 2(4), pp.863~874 (2006)
  2. S. Blythe, "Stability of stochastic delay neural networks", J. Franklin Inst, 338(4), pp.481~495 (2001)
  3. E. K. Boukas, "Delay-dependent stabilization of singular linear systems with delays", Int. J. Innovative Comput. Inform. Control, 2(2), pp.283~291 (2006)
  4. S. Boyd, "Linear Matrix Inequalities in System and Control Theory" (1994), SIAM Philadelphia
  5. P. Gahinet, "LMI Control Toolbox: for Use with Matlab" (1995), The Math Works
  6. C. Huang, "Almost sure exponential stability of delayed Hopfield neural networks", Appl. Math. Lett, 21(7), pp.701~705 (2008)
  7. H. Huang, "Stochastic stability analysis of fuzzy Hopeld neural networks with time-varying delays", IEEE Trans. Circuits Syst. II, 52(5), pp.251~255 (2005)
  8. "On delay-dependent robust stability of uncertain neutral systems with interval time-varying delays", APPLIED MATHEMATICS AND COMPUTATION, 203(2), pp.843~853
  9. T. Li, "Robust stability of stochastic Cohen-Grossberg neural net-works with mixed time-varying delays", Neurocomputing, 73(1), pp.542~551 (2009)
  10. X. Liu, "Robustμ-stability for uncertain stochastic neural networks with unbounded time-varying delays", Phys. A, 387(12), pp.2952~2962 (2008)
  11. X. Mao, "Exponential Stability of Stochastic Differential Equations" (1994), Marcel Dekker
  12. J. H. Park, "Further note on global exponential stability of uncertain cellular neural networks with variable delays", APPLIED MATHEMATICS AND COMPUTATION, 188(1)(1), pp.850~854 (2007), ELSEVIER SCIENCE INC
  13. J. H. Park, "SYNCHRONIZATION OF NEURAL NETWORKS OF NEUTRAL TYPE WITH STOCHASTIC PERTURBATION", MODERN PHYSICS LETTERS B, 23(14), pp.1743~1751 (2009), WORLD SCIENTIFIC PUBL CO PTE LTD
  14. J. H. Park, "LMI Optimization Approach to Synchronization of Stochastic Delayed Discrete-Time Complex Networks", JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 143(2), pp.357~367 (2009), SPRINGER[DOI]
  15. J. Qiu, "Robust stability of uncertain linear systems with time- varying delay and nonlinear perturbations", Proc. IMechE, Part I, J. Syst. Control Eng, 220(5), pp.411~416 (2006)
  16. V. Singh, "Novel LMI condition for global robust stability of delayed neural networks", Chaos Solitons Fractals, 34(2), pp.503~508 (2007)
  17. V. Singh, "Global robust stability of delayed neural networks: An LMI approach", IEEE Trans. Circuits Syst. II, 52(1), pp.33~36 (2005)
  18. V. Singh, "Robust stability of cellular neural networks with delay: linear matrix inequality approach", IEE Proc. Contr. Theory Appl, 151(1), pp.125~129 (2004)
  19. L. Wan, "Mean square exponential stability of stochastic delayed Hopfield neural networks", Phys. Lett. A, 343, pp.306~318 (2005)
  20. Z. Wang, "Exponential stability of uncertain stochastic neural networks with mixed time-delays", Chaos Solitons Fractals, 32(1), pp.62~72 (2007)
  21. Z. Wang, "Stochastic stability of unicertain Hopfield neural networks with discrete and distributed delays", Phys. Lett. A, 354(4), pp.288~297 (2006)
  22. J. Zhang, "Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays", Nonlinear Anal. Real World Appl, 8(4), pp.1349~1357 (2007)
  23. Q. Zhou, "Exponential stability of stochastic delayed Hopfield neural net- works", Appl. Math. Comput, 199(1), pp.84~89 (2008)

이 간행물의 다른 논문 (15건)