Finite-time stochastic stabilization for BAM neural networks with uncertainties

Journal of the Franklin Institute

Volumn 350, Issue 8, 2013, Pages 2109-2123

  Liu, Xiaoyang ^a   Jiang, Nan ^a   Cao, Jinde ^b   Wang, Shumei ^a   Wang, Zhengxin ^c  

^a JIANGSU NORMAL UNIVERSITY   (China)

^b SOUTHEAST UNIVERSITY   (China)

^c NANJING UNIVERSITY OF POSTS AND TELECOMMUNICATIONS   (China)

Author keywords

[No Author keywords available]

Indexed keywords

FINITE TIME STABILITY; FINITE TIME STABILIZATION; FINITE-TIME CONTROLLERS; PARAMETER UNCERTAINTY; ROBUST FINITE-TIME STABILIZATIONS; STOCHASTIC BAM NEURAL NETWORKS; STOCHASTIC NONLINEAR SYSTEMS; STOCHASTIC STABILIZATION;

LINEAR MATRIX INEQUALITIES; STABILIZATION; STOCHASTIC SYSTEMS;

NEURAL NETWORKS;

EID: 84880717606     PISSN: 00160032     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jfranklin.2013.05.027     Document Type: Article

References (41)

1. J. Lu, D.W.C. Ho, and L. Wu Exponential stabilization of switched stochastic dynamical networks Nonlinearity 22 2009 889 911
2. V.S. Vaidhyanathan Regulation and Control Mechanisms in Biological Systems 1993 Prentice Hall Englewood Cliffs, NJ
3. E. Ott, G. Grebogi, and J.A. Yorke Controlling chaos Physical Review Letters 64 1990 1196 1199
4. J. Lu, D.W.C. Ho, and Z. Wang Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers IEEE Transactions on Neural Networks 20 10 2009 1617 1629
5. X.D. Li New results on global exponential stabilization of impulsive functional differential equations with infinite delays or finite delays Nonlinear Analysis: Real World Applications 11 2010 4194 4201
6. B. Kosko Adaptive bi-directional associative memories Applied Optics 26 1987 4947 4960
7. B. Kosko Bidirectional associative memories IEEE Transactions on Systems, Man, and Cybernetics 18 1988 49 60
8. B. Maundy, and E.I. El-Masry A switched capacitor bidirectional associative memory IEEE Transactions on Circuits and Systems I: Regular Papers 37 12 1990 1568 1572
9. D.W.C. Ho, J. Liang, and J. Lam Global exponential stability of impulsive high-order BAM neural networks with time-varying delays Neural Networks 19 10 2006 1581 1590
10. X. Su, Z. Li, Y. Feng, and L. Wu New global exponential stability criteria for interval-delayed neural networks Proceedings of the Institution of Mechanical Engineers I 225 1 2011 125 136
11. Y. Fu, and T.Y. Chai Nonlinear adaptive decoupling control based on neural networks and multiple models International Journal of Innovative Computing Information and Control 8 3(A) 2012 1867 1878
12. L.G. Wu, Z.G. Feng, and W.X. Zheng Exponential stability analysis for delayed neural networks with switching parameters average dwell time approach IEEE Transactions on Neural Networks 21 9 2010 1396 1407
13. B. Lui, and P. Shi Delay-range-dependent stability for fuzzy BAM neural networks with time-varying delays Physics Letters A 373 21 2009 1830 1838
14. A. Turnip, and K.S. Hong Classifying mental activities from EEG-P300 signals using adaptive neural networks International Journal of Innovative Computing Information and Control 8 9 2012 6429 6443
15. J.H. Park, and O.M. Kwon On improved delay-dependent criterion for global stability of bidirectional associative memory neural networks with time-varying delays Applied Mathematics and Computation 199 2008 435 446
16. X.Y. Liu, J.D. Cao, and W.W. Yu Filippov systems and quasi- synchronization control for switched networks Chaos 22 2012 033110
17. X.Y. Liu, and J.D. Cao Robust state estimation for neural networks with discontinuous activations IEEE Transactions on Systems, Man, and Cybernetics - Part B Cybernetics 40 6 2010 1425 1437
18. Q.K. Song, and Z.D. Wang An analysis on existence and global exponential stability of periodic solutions for BAM neural networks with time-varying delays Nonlinear Analysis: Real World Applications 8 2007 1224 1234
19. X. Mao Stochastic Differential Equations with Markovian Switching 2006 Imperial College Press London
20. G.J. Wang, J.D. Cao, and M. Xu Stability analysis for stochastic BAM neural networks with Markovian jumping parameters Neurocomputing 72 2009 3901 3906
21. Q.X. Zhu, X.D. Li, and X.S. Yang Exponential stability for stochastic reaction-diffusion BAM neural networks with time-varying and distributed delays Applied Mathematics and Computation 217 2011 6078 6091
22. R.N. Yang, Z.X. Zhang, and P. Shi Exponential stability on stochastic neural networks with discrete interval and distributed delays IEEE Transactions on Neural Networks 21 1 2010 169 175
23. R.N. Yang, H.J. Gao, and P. Shi Novel robust stability criteria for stochastic Hopfield neural networks with time delays IEEE Transactions on Systems, Man, and Cybernetics - Part B: Cybernetics 39 2 2009 467 474
24. J.H. Park Robust stability of bidirectional associative memory neural networks with time delays Physics Letters A 349 2006 494 499
25. X.Y. Lou, and B.T. Cui On the global robust asymptotic stability of BAM neural networks with time-varying delays Neurocomputing 70 1-3 2006 273 279
26. X.Y. Lou, and B.T. Cui Robust asymptotic stability of uncertain fuzzy BAM neural networks with time-varying delays Fuzzy Sets and Systems 158 24 2007 2746 2756
27. V.T. Haimo Finite time controllers SIAM Journal on Control and Optimization 24 4 1986 760 770
28. S. Bhat, and D. Bernstein Finite-time stability of homogeneous systems Proceedings of ACC 1997 2513 2514
29. W.S. Chen, and L.C. Jiao Authors' reply to "Comments on 'Finite-time stability theorem of stochastic nonlinear systems [Automatica 46 (2010) 2105-2108]'" Automatica 47 7 2011 1544 1545
30. Y. Hong, J. Wang, and D. Cheng Adaptive finite-time control of nonlinear systems with parametric uncertainty IEEE Transactions on Automatic Control 51 5 2006 858 862
31. S.Y. Khoo, L.H. Xie, and Z.H. Man Robust finite-time consensus tracking algorithm for multi robot systems IEEE/ASME Transactions on Mechatronics 14 2 2009 219 228
32. F. Xiao, L. Wang, J. Chen, and Y.P. Gao Finite-time formation control for multi-agent systems Automatica 45 11 2009 2605 2611
33. L. Wang, and F. Xiao Finite-time consensus problems for networks of dynamic agents IEEE Transactions on Automatic Control 55 4 2010 950 955
34. J. Cortés Finite-time convergent gradient flows with applications to network consensus Automatica 42 11 2006 1993 2000
35. G. Chen, F.L. Lewis, and L.H. Xie Finite-time distributed consensus via binary control protocols Automatica 47 9 2011 1962 1968
36. Q. Hui, W.M. Haddad, and S.P. Bhat Finite-time semistability and consensus for nonlinear dynamical networks IEEE Transactions on Automatic Control 53 8 2008 1887 1900
37. H. Deng, M. Krstic, and R.J. Williams Stabilization of stochastic nonlinear systems driven by noise of unknown covariance IEEE Transactions on Automatic Control 46 8 2001 1237 1253
38. X. Mao, and C. Yuan Stochastic Differential Equations and Applications with Markovian Switching 2006 Imperial College Press London
39. G.H. Hardy, J.E. Littlewood, and G. Pólya Inequalities 1988 Cambridge University Press Cambridge
40. S. Boyd, L. Ghaoui, E. Feron, and V. Balakrishnan Linear matrix inequalities in system and control theory Studies in Applied Mathematics 1994 SIAM Philadelphia, PA
41. X.S. Yang, and J. Cao Finite-time stochastic synchronization of complex networks Applied Mathematical Modelling 34 11 2010 3631 3641