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      Delay-dependent Stability Criteria for Uncertain Stochastic Neural Networks with Interval Time-varying Delays

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      https://www.riss.kr/link?id=A76615545

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      다국어 초록 (Multilingual Abstract)

      In this paper, the problem of global asymptotic stability of uncertain stochastic neural networks with delay is considered. The delay is assumed to be time-varying and belong to a given interval. Based on the Lyapunov stability theory, new delay-depen...

      In this paper, the problem of global asymptotic stability of uncertain stochastic neural networks with delay is considered. The delay is assumed to be time-varying and belong to a given interval. Based on the Lyapunov stability theory, new delay-dependent stability criteria for the system is derived in terms of LMI(linear matrix inequality). Three numerical examples are given to show the effectiveness of proposed method.

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      목차 (Table of Contents)

      • Abstract
      • 1. Introduction
      • 2. Problem Statements
      • 3. Main results
      • 4. Numerical Example
      • Abstract
      • 1. Introduction
      • 2. Problem Statements
      • 3. Main results
      • 4. Numerical Example
      • 5. Conclusion
      • Acknowledgement
      • Appendix
      • References
      • 저자소개
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      참고문헌 (Reference)

      1 L. Arnold, "Wiley" Wiley, New York 1972

      2 P. Gahinet, "The Mathworks" assachusetts 1995

      3 R.Z. Khasminskii, "Stochastic Stability of Differential Equations. Alphen aan den Rjin" 1980

      4 X.Mao,Stochastic Differential Equations and Their Applications,Chichester, "Stochastic Differential Equations and Their Applications" Chichester, Horwood, UK 1997

      5 W. Michiels, "Stabilization of time-delay systems with a controlled time-varying delay and applications" 50 : 493-504, 2005

      6 K.W. Yu, "Stability criteria for uncertain neural systems with interval time-varying delays" (10) : 2007

      7 V.L. Kharitonov, "On the stability of linear systems with uncertain delay" 48 : 127-132, 2003

      8 J. Zhang, "Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays" 8 : 1349-1357, 2007

      9 S. Haykin, "Neural Networks - A Comprehensive Foundation" Prentice-Hall, NJ 1998

      10 S. Boyd, "Linear Matrix Inequalities in System and Control Theory" Philadelphia, SIAM 1994

      1 L. Arnold, "Wiley" Wiley, New York 1972

      2 P. Gahinet, "The Mathworks" assachusetts 1995

      3 R.Z. Khasminskii, "Stochastic Stability of Differential Equations. Alphen aan den Rjin" 1980

      4 X.Mao,Stochastic Differential Equations and Their Applications,Chichester, "Stochastic Differential Equations and Their Applications" Chichester, Horwood, UK 1997

      5 W. Michiels, "Stabilization of time-delay systems with a controlled time-varying delay and applications" 50 : 493-504, 2005

      6 K.W. Yu, "Stability criteria for uncertain neural systems with interval time-varying delays" (10) : 2007

      7 V.L. Kharitonov, "On the stability of linear systems with uncertain delay" 48 : 127-132, 2003

      8 J. Zhang, "Novel robust stability criteria for uncertain stochastic Hopfield neural networks with time-varying delays" 8 : 1349-1357, 2007

      9 S. Haykin, "Neural Networks - A Comprehensive Foundation" Prentice-Hall, NJ 1998

      10 S. Boyd, "Linear Matrix Inequalities in System and Control Theory" Philadelphia, SIAM 1994

      11 M. Cannas, "Learning of Chua's circuit attactors by locally recurrent neural networks" 12 : 2109-2115, 2001

      12 L. Rong, "LMI-based criteria for robust stability of Cohen-Grossberg neural networks with delay" 339 : 63-73, 2005

      13 W. Wang, "LMI-based criteria for globally robust stability of delayed Cohen-Grossberg neural networks" 53 : 397-402, 2006

      14 S. Arik, "IEEE T. Circuits-I" 49 : 1211-1214, 2002

      15 D. Yue, "Guaranteed cost control of linear systems over networks with state and input quantisations" 153 : 658-664, 2006

      16 N. Qzcan, "Global robust stability analysis of neural networks with multiple time delays" 53 : 166-176, 2006

      17 J. Cao, "Global robust asymptotic and robust stability of recurrent neural networks with time delays" 52 : 417-426, 2005

      18 J. Cao, "Global asymptotic stability of neural networks with transmission delays" 31 : 1313-1316, 2000

      19 H. Yang, "Exponential stability of neural networks with variable delays via LMI approach" 30 : 133-139, 2006

      20 S. Ruan, "Dynamics of a two-neuron system with discrete and distributed delays" 191 : 323-342, 2004

      21 H. Huang, "Delay-dependent stability for uncertain stochastic neural networks with time-varying delay" A (A): 2007

      22 H. Huang, "Delay-dependent stability for uncertain stochastic nerual networks with time-varying delay" 381 : 93-103, 2007

      23 H. Liu, "Delay-dependent stability for neural networks with time-varying delay" 33 : 171-177, 2007

      24 Q. Zhang, "Delay-dependent exponential stability of cellular neural networks with time-varying delays" 23 : 1363-1369, 2005

      25 M. Ramesh, "Chaos control of Bonhoeffer-van der Pol oscillator using neural networks" 12 : 2395-2405, 2001

      26 K. Gu, "An integral inequality in the stability problem of time-delay systems" December 2000

      27 K. Otawara, "An articial neural network as a model for chaotic behavior of a therr-phase fluidized bed" 13 : 353-362, 2002

      28 J.H. Park, "An analysis of global robust stability of uncertain cellular nerual networks with discrete and distributed delays" 32 : 800-807, 2007

      29 S. Arik, "An analysis of global asymptotic stability of delayed cellular neural networks" 13 : 1239-1242, 2002

      30 A. Chen, "An Estimation of upper bound of delays for global asymptotical stability of delayed Hopfield neural networks" 49 : 1028-1032, 2002

      31 J.H.Park, "A new stability analysis of delayed cellular neural networks" 200-2005, 2006

      32 S. Xu, "A new approach to exponential stability analysis of neural networks with time-varying delays" 19 : 76-83, 2006

      33 S. Xu, "A new LMI conditions for delay-dependent asymptotic satbility of delayed hopfield neural networks" 53 : 230-234, 2006

      34 J.H. Park, "A delay-dependent asymptotic stability criterion of cellular neural networks with time-varying discrete and distributed delays" 33 : 436-442, 2007

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      2010-10-01 평가 학술지 통합(등재유지)
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