TY - JOUR AU - WANG , QING AU - LIU, XINZHI PY - 2008 TI - IMPULSIVE STABILIZATION OF CELLULAR NEURAL NETWORKS WITH TIME DELAY VIA LYAPUNOV FUNCTIONALS JO - Journal of Nonlinear Sciences and Applications SP - 72-86 VL - 1 IS - 2 AB - This paper investigates the problem of global exponential stability for a class of impulsive cellular neural networks with time delay. By employing Lyapunov functionals, some sufficient conditions for exponential stability are established. Our results show that unstable cellular neural networks with time delay may be stabilized by impulses, where the upper bound of the amplitudes of the impulses is given. Numerical simulations on two examples are given to illustrate our results. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.001.02.03 DO - 10.22436/jnsa.001.02.03 ID - WANG 2008 ER - TY - JOUR TI - Continuous-time additive Hopfield-type neural networks with impulses AU - H. Akca AU - R. Alassar AU - V. Covachev AU - Z. Covacheva AU - E. Al-Zahrani JO - J. Math. Anal. Appl. PY - 2004 DA - 2004// VL - 290 ID - Akca2004 ER - TY - JOUR TI - On the global asymptotic stability of delayed cellular neural networks AU - S. Arik AU - V. Tavsanglu JO - IEEE Trans. Circuits Syst. I PY - 2000 DA - 2000// VL - 47 ID - Arik2000 ER - TY - JOUR TI - Existence and uniqueness results for impulsive delay differential equations AU - G. Ballinger AU - X. Liu JO - Dynamics of Continuous, Discrete and Impulsive Systems PY - 1999 DA - 1999// VL - 5 ID - Ballinger1999 ER - TY - JOUR TI - Exponential stability of high-order bidirectional associative memory neural networks with time delays AU - J. Cao AU - J. Liang AU - J. Lam JO - Physica D PY - 2004 DA - 2004// VL - 199 ID - Cao2004 ER - TY - JOUR TI - Global Exponential Stability and Periodicity of Recurrent Neural Networks with Time Delays AU - J. Cao AU - J. Wang JO - IEEE Trans Circuits Syst. I PY - 2005 DA - 2005// VL - 52 ID - Cao2005 ER - TY - JOUR TI - Cellular neural networks with nonlinear and delay-type template elements AU - L. Chua AU - T. Roska JO - Proceeding of 1990 IEEE Int. Workshop Cellular Neural Networks Applications PY - DA - // VL - ID - Chua ER - TY - JOUR TI - Stability of a class of nonreciprocal cellular neural networks AU - L. Chua AU - T. Roska JO - IEEE Trans. Circuits Syst. PY - 1990 DA - 1990// VL - 37 ID - Chua1990 ER - TY - JOUR TI - Cellular neural networks: theory AU - L. Chua AU - L. Yang JO - IEEE Trans. Circuits Syst. PY - 1988 DA - 1988// VL - 35 ID - Chua1988 ER - TY - JOUR TI - On stability of cellular neural networks with delay AU - P. Civalleri AU - M. Gilli AU - L. Pandolfi JO - IEEE Trans. Circuits Syst. I PY - 1993 DA - 1993// VL - 40 ID - Civalleri1993 ER - TY - JOUR TI - Stability of artificial neural networks with impulses AU - K. Gopalsamy JO - Applied Mathematics and Computation PY - 2004 DA - 2004// VL - 154 ID - Gopalsamy 2004 ER - TY - JOUR TI - Further results on the stability of delayed cellular neural networks AU - X. Li AU - L. Huang AU - J. Wu JO - IEEE Trans. Circuits Syst. I PY - 2003 DA - 2003// VL - 50 ID - Li2003 ER - TY - BOOK TI - Exponential Stability of Impulsive Functional Differential Equations via Lyapunov Functionals AU - X. Liu AU - Q. Wang PB - Nonlinear Analysis PY - to appear DA - to appear// CY - ID - Liuto appear ER - TY - JOUR TI - LMI approach for global periodicity of neural networks with time-varying delays AU - L. Rong JO - IEEE Trans. Circuits Syst. I PY - 2005 DA - 2005// VL - 52 ID - Rong2005 ER - TY - JOUR TI - Stability and dynamics of delay-type general and cellular neural networks AU - T. Roska AU - C. Wu AU - M. Balsi AU - L. Chua JO - IEEE Trans. Circuits Syst. PY - 1992 DA - 1992// VL - 39 ID - Roska1992 ER - TY - JOUR TI - Stability of Cellular Neural Networks with Dominant Nonlinear and Delay-Type Template AU - T. Roska AU - C. Wu AU - L. Chua JO - IEEE Trans Circuits Syst. I PY - 1993 DA - 1993// VL - 40 ID - Roska1993 ER - TY - JOUR TI - A new suffcient condition for complete stability of cellular neural networks with delay AU - N. Takahshi JO - IEEE Trans. Circuits Syst. I PY - 2000 DA - 2000// VL - 47 ID - Takahshi 2000 ER - TY - JOUR TI - On the complete stability of non-symmetric cellular neural networks AU - N. Takahashi AU - L. Chua JO - IEEE Trans. Circuits Syst. I PY - 1998 DA - 1998// VL - 45 ID - Takahashi1998 ER - TY - JOUR TI - Exponential stability for impulsive delay differential equations by Razumikhin method AU - Q. Wang AU - X. Liu JO - J. Math. Anal. Appl. PY - 2005 DA - 2005// VL - 309 ID - Wang2005 ER - TY - BOOK TI - Global Exponential Stability of Impulsive High Order Hopfield Type Neural Networks with Delays, Proceeding of the DSDIC 4th International Conference on Engineering Applications and Computational Algorithms AU - Q. Wang AU - X. Liu PB - Watam Press PY - 2005 DA - 2005// CY - 825-830. ID - Wang2005 ER - TY - JOUR TI - Global asymptotic stability of high-order Hopfield type neural networks with time delays AU - B. Xu AU - X. Liu AU - X. Liao JO - Computers and Mathematics with Applications PY - 2003 DA - 2003// VL - 45 ID - Xu2003 ER - TY - JOUR TI - Impulsive delay differential inequality and stability of neural networks AU - D. Xu AU - Z. Yang JO - J. Math. Anal. Appl. PY - 2005 DA - 2005// VL - 305 ID - Xu2005 ER -