• Guo, Yingxin (College of Control Science and Engineering Shandong University, School of Mathematical Sciences Qufu Normal University)
  • Received : 2009.11.22
  • Published : 2012.11.30


By constructing suitable Lyapunov functionals and combining with matrix inequality technique, a new simple sufficient condition is presented for the global asymptotic stability of the Cohen-Grossberg neural network models. The condition contains and improves some of the previous results in the earlier references.


  1. S. Arik, An analysis of global asymptotic stability of delayed cellular neural networks, IEEE Trans. Neural Networks 13 (2002), 1239-1242.
  2. P. Baldi and A. F. Atiya, How delays affect neural dynamics and learning, IEEE Trans Neural Networks 5 (1994), 612-621.
  3. J. Cao, On exponential stability and periodic solutions of CNNs with delays, Phys. Lett. A 267 (2000), no. 5-6, 312-318.
  4. L. O. Chua and L. Yang, Cellular neural networks: theory and application, IEEE Trans. Circuits and Systems 35 (1988), no. 10, 1257-1272.
  5. P. P. Civalleri, M. Gilli, and L. Pandolfi, On stability of cellular neural networks with delay, IEEE Trans. Circuits Systems I Fund. Theory Appl. 40 (1993), no. 3, 157-165.
  6. M. A. Cohen and S. Grossberg, Absolute stability of global parallel memory storage by competitive neural networks, IEEE Trans Systems Man Cybermet 13 (1983), 815-826.
  7. H. Jiang and Z. Teng, Global exponential stability of cellular neural networks with time-varying coefficients and delays, Neural Networks 17 (2004), 1415-1425.
  8. M. P. Kennedy and L. O. Chua, Neural networks for nonlinear programming, IEEE Trans. Circuits and Systems 35 (1988), no. 5, 554-562.
  9. Y. Li, Global exponential stability of BAM neural networks with delays and impulses, Chaos Solitons Fractals 24 (2005), no. 1, 279-285.
  10. T. L. Liao and F. C. Wang, Global stability for cellular neural networks with time delay, IEEE Trans. Neural Networks 11 (2000), 1481-1484.
  11. X. Liao and J. Wang, Global dissipativity of continuous-time recurrent neural networks with time delay, Phys. Rev. E (3) 68 (2003), no. 1, 016118, 7 pp.
  12. Z. Liu and L. Liao, Existence and global exponential stability of periodic solution of cellular neural networks with time-varying delays, J. Math. Anal. Appl. 290 (2004), no. 1, 247-262.
  13. C. M. Marcus and R. M. Westervelt, Stability of analog neural networks with delay, Phys. Rev. A (3) 39 (1989), no. 1, 347-359.
  14. M. Morita, Associative memory with nonmonotone dynamics, Neural Networks 6 (1993), 115-126.
  15. T. Roska and L. O. Chua, Cellular neural networks with delay-type template elements nonuniform grid, Int J. Circuit Theory Appl 20 (1992), 469-481.
  16. Q. Zhang, X. Wei, and J. Xu, A new global stability result for delayed neural networks, Nonlinear Anal. Real World Appl. 8 (2007), no. 3, 1024-1028.

Cited by

  1. Asymptotic and Robust Mean Square Stability Analysis of Impulsive High-Order BAM Neural Networks with Time-Varying Delays pp.1531-5878, 2017,
  2. Globally Robust Stability Analysis for Stochastic Cohen–Grossberg Neural Networks with Impulse Control and Time-Varying Delays vol.69, pp.8, 2018,
  3. Exponential Stability of Antiperiodic Solution for BAM Neural Networks with Time-Varying Delays vol.2018, pp.1563-5147, 2018,
  4. On Leaderless and Leader-Following Consensus for Heterogeneous Nonlinear Multiagent Systems via Discontinuous Distributed Control Protocol vol.2018, pp.1563-5147, 2018,
  5. Mean-Square Exponential Input-to-State Stability of Stochastic Fuzzy Recurrent Neural Networks with Multiproportional Delays and Distributed Delays vol.2018, pp.1563-5147, 2018,
  6. A Novel Nonlinear Fault Tolerant Control for Manipulator under Actuator Fault vol.2018, pp.1563-5147, 2018,
  7. A New Stability Criterion for Neutral Stochastic Delay Differential Equations with Markovian Switching vol.2018, pp.1563-5147, 2018,
  8. Stability and stabilization for stochastic Cohen-Grossberg neural networks with impulse control and noise-induced control pp.10498923, 2018,
  9. Extended Reciprocal Convex Techniques on Synchronization in Time-Delay Neutral Lur’e Systems pp.1531-5878, 2018,
  10. Exponential Lagrange Stability for Markovian Jump Uncertain Neural Networks with Leakage Delay and Mixed Time-Varying Delays via Impulsive Control vol.2018, pp.1563-5147, 2018,
  11. Observer-Based Sliding Mode Control for Stochastic Nonlinear Markovian Jump Systems vol.2019, pp.1607-887X, 2019,
  12. Stability Analysis for Discrete-Time Stochastic Fuzzy Neural Networks with Mixed Delays vol.2019, pp.1563-5147, 2019,