Exponential stability for fuzzy BAM cellular neural networks with distributed leakage delays and impulses

This paper is concerned with a class of fuzzy BAM cellular neural networks with distributed leakage delays and impulses. By applying differential inequality techniques, we establish some sufficient conditions which ensure the exponential stability of such fuzzy BAM cellular neural networks. An example is given to illustrate the effectiveness of the theoretical results. The results obtained in this article are completely new and complement the previously known studies.

[1]  Li Yang,et al.  Anti-periodic solution for impulsive BAM neural networks with time-varying leakage delays on time scales , 2015, Neurocomputing.

[2]  Li Yang,et al.  Almost automorphic solution for neutral type high-order Hopfield neural networks with delays in leakage terms on time scales , 2014, Appl. Math. Comput..

[3]  Fen Wang,et al.  Global exponential stability of high-order bidirectional associative memory (BAM) neural networks with time delays in leakage terms , 2016, Neurocomputing.

[4]  Zhenjiang Zhao,et al.  Stability criterion of complex-valued neural networks with both leakage delay and time-varying delays on time scales , 2016, Neurocomputing.

[5]  Rajendran Samidurai,et al.  Exponential passivity analysis of stochastic neural networks with leakage, distributed delays and Markovian jumping parameters , 2016, Neurocomputing.

[6]  Huamin Wang,et al.  Exponential stability analysis of delayed memristor-based recurrent neural networks with impulse effects , 2015, Neural Computing and Applications.

[7]  Yongkun Li,et al.  Existence and globally exponential stability of almost periodic solution for Cohen–Grossberg BAM neural networks with variable coefficients , 2009 .

[8]  Changjin Xu,et al.  Existence and stability of pseudo almost periodic solutions for shunting inhibitory cellular neural networks with neutral type delays and time-varying leakage delays , 2014, Network.

[9]  R. Rakkiyappan,et al.  Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations , 2010 .

[10]  Yongkun Li,et al.  Existence and global exponential stability of equilibrium for discrete-time fuzzy BAM neural networks with variable delays and impulses , 2013, Fuzzy Sets Syst..

[11]  BART KOSKO,et al.  Bidirectional associative memories , 1988, IEEE Trans. Syst. Man Cybern..

[12]  Changjin Xu,et al.  Existence and exponentially stability of anti-periodic solutions for neutral BAM neural networks with time-varying delays in the leakage terms , 2016 .

[13]  Lihong Huang,et al.  Functional differential inclusions and dynamic behaviors for memristor-based BAM neural networks with time-varying delays , 2014, Commun. Nonlinear Sci. Numer. Simul..

[14]  Rathinasamy Sakthivel,et al.  Robust state estimation for discrete-time BAM neural networks with time-varying delay , 2014, Neurocomputing.

[15]  Rathinasamy Sakthivel,et al.  Non-fragile synchronization of memristive BAM networks with random feedback gain fluctuations , 2015, Commun. Nonlinear Sci. Numer. Simul..

[16]  Zhengqiu Zhang,et al.  Global asymptotic stability to a generalized Cohen-Grossberg BAM neural networks of neutral type delays , 2012, Neural Networks.

[17]  Changjin Xu,et al.  Existence and global exponential stability of anti-periodic solutions for BAM neural networks with inertial term and delay , 2015, Neurocomputing.

[18]  B Kosko,et al.  Adaptive bidirectional associative memories. , 1987, Applied optics.

[19]  Wei Zhang,et al.  Global Stability and Synchronization of Markovian Switching Neural Networks with Stochastic Perturbation and Impulsive Delay , 2015, Circuits Syst. Signal Process..

[20]  Li Yang,et al.  Existence and Stability of Pseudo Almost Periodic Solution for Neutral Type High-Order Hopfield Neural Networks with Delays in Leakage Terms on Time Scales , 2015, Neural Processing Letters.

[21]  Yongkun Li,et al.  Exponential Stability of BAM Fuzzy Cellular Neural Networks with Time-Varying Delays in Leakage Terms and Impulses , 2014 .

[22]  Yongkun Li,et al.  Existence and exponential stability of an equilibrium point for fuzzy BAM neural networks with time-varying delays in leakage terms on time scales , 2013, Advances in Difference Equations.

[23]  Zhenyuan Guo,et al.  Global robust dissipativity of interval recurrent neural networks with time-varying delay and discontinuous activations. , 2016, Chaos.

[24]  Ta-lun Yang,et al.  The global stability of fuzzy cellular neural network , 1996 .

[25]  Jinde Cao,et al.  Stability analysis of two-dimensional neutral-type Cohen–Grossberg BAM neural networks , 2017, Neural Computing and Applications.

[26]  R. Rakkiyappan,et al.  Stochastic stability of Markovian jump BAM neural networks with leakage delays and impulse control , 2014, Neurocomputing.

[27]  Zhenyuan Guo,et al.  Stability and almost periodicity for delayed high-order Hopfield neural networks with discontinuous activations , 2014 .

[28]  Xiaodi Li,et al.  Exponential stability of Cohen-Grossberg-type BAM neural networks with time-varying delays via impulsive control , 2009, Neurocomputing.

[29]  Elena Braverman,et al.  New global exponential stability criteria for nonlinear delay differential systems with applications to BAM neural networks , 2013, Appl. Math. Comput..

[30]  Pagavathigounder Balasubramaniam,et al.  Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays , 2011, Math. Comput. Model..

[31]  K. Gopalsamy,et al.  Stability in asymmetric Hopfield nets with transmission delays , 1994 .

[32]  Chen An,et al.  The Global Stability of Fuzzy Cellular Neural Networks , 2001 .

[33]  Zhengqiu Zhang,et al.  Existence and global exponential stability of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales , 2011, Neural Networks.

[34]  Lihong Huang,et al.  Global exponential stability of fuzzy BAM neural networks with distributed delays and time-varying delays in the leakage terms , 2012, Neural Computing and Applications.

[35]  R. Rakkiyappan,et al.  Leakage-delay-dependent stability analysis of Markovian jumping linear systems with time-varying delays and nonlinear perturbations , 2016 .

[36]  Pagavathigounder Balasubramaniam,et al.  Leakage Delays in T–S Fuzzy Cellular Neural Networks , 2011, Neural Processing Letters.

[37]  Bingwen Liu.  Global exponential stability for BAM neural networks with time-varying delays in the leakage terms☆ , 2013 .

[38]  K. Gopalsamy.  Stability and Oscillations in Delay Differential Equations of Population Dynamics , 1992 .