Existence and exponential stability of almost periodic solution for neutral delay BAM neural networks with time-varying delays in leakage terms

Journal of the Franklin Institute

Volumn 350, Issue 9, 2013, Pages 2808-2825

  Li, Yongkun ^a   Li, Youqin ^a  

^a YUNNAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ALMOST PERIODIC SOLUTIONS; BAM NEURAL NETWORK; DIFFERENTIAL INEQUALITY TECHNIQUES; FIXED POINT THEOREMS; LEAKAGE TERMS; LINEAR DIFFERENTIAL EQUATION; NEUTRAL DELAYS; TIME-VARYING DELAY;

DIFFERENTIAL EQUATIONS; NEURAL NETWORKS;

TIME VARYING CONTROL SYSTEMS;

EID: 84884208947     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2013.07.005     Document Type: Article

References (44)

1. B. Liu, and L. Juang Global exponential stability of BAM neural networks with recent-history distributed delays and impulses Neurocomputing 69 2006 2090 2096
2. Z. Zhang, and D. Zhou Existence and global exponential stability of a periodic solution for a discrete-time interval general BAM neural networks Journal of the Franklin Institute 347 2010 763 780
3. Z. Zhang, and K. Liu Existence and global exponential stability of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales Neural Networks 24 2011 427 439
4. J. Cao, and Q. Jiang An analysis of periodic solutions of bidirectional associative memory networks with time-varying delays Physics Letters A 330 2004 203 213
5. Y.K. Li, and X.L. Fan Existence and globally exponential stability of almost periodic solution for Cohen-Grossberg BAM neural networks with variable coefficients Applied Mathematical Modelling 33 2009 2114 2120
6. Y.K. Li Existence and stability of periodic solution for BAM neural networks with distributed delays Applied Mathematics and Computation 159 2004 847 862
7. Y.K. Li, and P. Liu Existence and stability of positive periodic solution for BAM neural networks with delays Mathematical and Computer Modelling 40 2004 757 770
8. Y.K. Li Global exponential stability of BAM neural networks with delays and impulses Chaos, Solitons & Fractals 24 2005 279 285
9. Y.K. Li, and C. Wang Existence and global exponential stability of equilibrium for discrete-time fuzzy BAM neural networks with variable delays and impulses Fuzzy Sets and Systems 217 2013 62 79
10. K. Gopalsamy Leakage delays in BAM Journal of Mathematical Analysis and Applications 325 2007 1117 1132
11. Y. Xia, Z. Huang, and M.N. Han Existence and globally exponential stability of equilibrium for BAM neural networks with impulses Chaos, Solitons & Fractals 37 2008 588 597
12. Y.K. Li, X.R. Chen, and L. Zhao Stability and existence of periodic solutions to delayed Cohen-Grossberg BAM neural networks with impulses on time scales Neurocomputing 72 2009 1621 1630
13. Z. Wen, and J. Sun Global asymptotic stability of delay BAM neural networks with impulses via nonsmooth analysis Neurocomputing 71 2008 1543 1549
14. C. Liu, C.D. Li, and X.F. Liao Variable-time impulses in BAM neural networks with delays Neurocomputing 74 2011 3286 3295
15. R. Samidurai, R. Sakthivel, and S.M. Anthoni Global asymptotic stability of BAM neural networks with mixed delays and impulses Applied Mathematics and Computation 212 2009 113 119
16. P. Balasubramaniam, and V. Vembarasan Robust stability of uncertain fuzzy BAM neural networks of neutral-type with Markovian jumping parameters and impulses Computers & Mathematics with Applications 62 2011 1838 1861
17. G. Liu, and Simon X. Yang Stability criterion for BAM neural networks of neutral-type with interval time-varying delays Procedia Engineering 15 2011 2836 2840
18. S. Peng Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms Nonlinear Analysis: Real World Applications 11 2010 2141 2151
19. B.W. Liu Global exponential stability for BAM neural networks with time-varying delays in the leakage terms Nonlinear Analysis: Real World Applications 14 2013 559 566
20. Z. Zhang, W. Liu, and D. Zhou Global asymptotic stability to a generalized Cohen-Grossberg BAM neural networks of neutral type delays Neural Networks 25 2012 94 105
21. P. Balasubramaniam, M. Kalpana, and R. Rakkiyappan Existence and global asymptotic stability of fuzzy cellular neural networks with time delay in the leakage term and unbounded distributed delays Circuits, Systems, and Signal Processing 30 2011 1595 1616
22. X. Li, and J. Cao Delay-dependent stability of neural networks of neutral type with time delay in the leakage term Nonlinearity 23 2010 1709 1726
23. X. Li, R. Rakkiyappan, and P. Balasubramanian Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations Journal of the Franklin Institute 348 2011 135 155
24. P. Balasubramanian, G. Nagamani, and R. Rakkiyappan Passivity analysis for neural networks of neutral type with Markovian jumping parameters and time delay in the leakage term Communications in Nonlinear Science and Numerical Simulation 16 2011 4422 4437
25. S. Lakshmanan, J.H. Park, H.Y. Jung, and P. Balasubramaniam Design of state estimator for neural networks with leakage, discrete and distributed delays Applied Mathematics and Computation 218 2012 11297 11310
26. P. Balasubramaniam, V. Vembarasan, and R. Rakkiyappan Leakage delays in T-S Fuzzy cellular neural networks Neural Processing Letters 33 2011 111 136
27. X. Li, X. Fu, P. Balasubramaniam, and R. Rakkiyappan Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations Nonlinear Analysis: Real World Applications 11 2010 4092 4108
28. C. Li, and T. Huang On the stability of nonlinear systems with leakage delay Journal of the Franklin Institute 346 2009 366 377
29. S. Peng Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms Nonlinear Analysis: Real World Applications 11 2010 2141 2151
30. P. Balasubramaniam, M. Kalpana, and R. Rakkiyappan State estimation for fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays Computers & Mathematics with Applications 62 2011 3959 3972
31. S. Long, Q. Song, X. Wang, and D. Li Stability analysis of fuzzy cellular neural networks with time delay in the leakage term and impulsive perturbations Journal of the Franklin Institute 349 2012 2461 2479
32. Q. Gan, and Y. Liang Synchronization of chaotic neural networks with time delay in the leakage term and parametric uncertainties based on sampled-data control Journal of the Franklin Institute 349 2012 1955 1971
33. M.J. Park, O.M. Kwon, J.H. Park, S.M. Lee, and E.J. Cha Synchronization criteria for coupled stochastic neural networks with time-varying delays and leakage delay Journal of the Franklin Institute 349 2012 1699 1720
34. X. Li, X. Fu, Effect of leakage time-varying delay on stability of nonlinear differential systems, Journal of the Franklin Institute 350 (2013) 1335-1344
35. Y.K. Li, L. Zhao, and X.R. Chen Existence of periodic solutions for neutral type cellular neural networks with delays Applied Mathematical Modelling 36 2012 1173 1183
36. K. Wang, and Y. Zhu Stability of almost periodic solution for a generalized neutral-type neural networks with delays Neurocomputing 73 2010 3300 3307
37. J. Liu, and G. Zong New delay-dependent asymptotic stability conditions concerning BAM neural networks of neutral type Neurocomputing 72 2009 2549 2555
38. C. Bai Global stability of almost periodic solutions of Hopfield neural networks with neutral time-varying delays Applied Mathematics and Computation 203 2008 72 79
39. B. Xiao Existence and uniqueness of almost periodic solutions for a class of Hopfield neural networks with neutral delays Applied Mathematics Letters 22 2009 528 533
40. J.H. Park, C.H. Park, O.M. Kwon, and S.M. Lee A new stability criterion for bidirectional associative memory neural networks of neutral-type Applied Mathematics and Computation 199 2008 716 722
41. R. Rakkiyappan, and P. Balasubramaniam New global exponential stability results for neutral type neural networks with distributed time delays Neurocomputing 71 2008 1039 1045
42. R. Rakkiyappan, and P. Balasubramaniam LMI conditions for global asymptotic stability results for neutral-type neural networks with distributed time delays Applied Mathematics and Computation 204 2008 317 324
43. A.M. Fink, Almost periodic differential equations, in: Lecture Notes in Mathematics, vol. 377, Springer, Berlin, 1974.
44. C.Y. He Almost Periodic Differential Equation 1992 Higher Education Publishing House Beijing (in Chinese)