Stability analysis for Cohen-Grossberg neural networks with time-varying delays via LMI approach

Expert Systems with Applications

Volumn 38, Issue 5, 2011, Pages 6360-6367

  Lien, Chang Hua ^a   Yu, Ker Wei ^a   Lin, Yen Feng ^a   Chang, Hao Chin ^a   Chung, Yeong Jay ^a  

^a NATIONAL KAOHSIUNG UNIVERSITY OF APPLIED SCIENCES   (Taiwan)

Author keywords

Delay dependent criterion; Delay independent criterion; Delayed Cohen Grossberg neural networks; Global asymptotic stability

Indexed keywords

COHEN-GROSSBERG NEURAL NETWORKS; DELAY DEPENDENT CRITERION; DELAY DEPENDENT STABILITY CRITERION; DELAY INDEPENDENT; EQUILIBRIUM POINT; GLOBAL ASYMPTOTIC STABILITY; LMI APPROACH; NUMERICAL EXAMPLE; ROBUST STABILITY; STABILITY ANALYSIS; TIME-VARYING DELAY;

ASYMPTOTIC ANALYSIS; ASYMPTOTIC STABILITY; LINEAR MATRIX INEQUALITIES; STABILITY CRITERIA; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS; UNMANNED AERIAL VEHICLES (UAV);

NEURAL NETWORKS;

EID: 79151478104     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2010.11.103     Document Type: Article

References (14)

1. S. Boyd, L.E. Ghaoui, E. Feron, and V. Balakrishnan Linear matrix inequalities in system and control theory 1994 SIAM Philadelphia
2. T.P. Chen, and L.B. Rong Delay-independent stability analysis of Cohen-Grossberg neural networks Physics Letter A 317 2003 436 449
3. L.O. Chua, and L. Yang Cellular neural networks: Theory IEEE Transactions on Circuits and Systems 35 1988 1257 1272
4. L.O. Chua, and T. Roska Cellular neural networks and visual computing 2002 Cambridge University Press Cambridge, UK
5. M. Cohen, and S. Grossberg Absolute stability of global pattern formation and parallel memory storage by competitive neural networks IEEE Transactions on Systems Man and Cybernetics 13 1983 815 826
6. J. Feng, and S. Xu New criteria on global robust stability of Cohen-Grossberg neural networks with time-varying delays Neurocomputing 72 2008 445 457
7. K. Gu, V.L. Kharitonov, and J. Chen Stability of time-delay systems 2003 Birkhauser Boston, Massachusetts
8. J.J. Hopfield Neural networks and physical systems with emergent collective computational abilities Proceedings of the National Academy of Sciences USA 79 1982 2554 2558
9. Y.Y. Hou, T.L. Liao, and J.J. Yan Global asymptotic stability for a class of nonlinear neural networks with multiple delays Nonlinear Analysis: Theory, Methods & Applications 67 2007 3037 3040
10. B. Kosko Bidirectional associative memories IEEE Transactions on Systems Man and Cybernetics 18 1988 49 60
11. T. Li, S. Fei, Y.Q. Guo, and Q. Zhu Stability analysis on Cohen-Grossberg neural networks with both time-varying and continuously distributed delays Nonlinear Analysis: Real World Applications 10 2009 2600 2612
12. C.H. Lien, K.W. Yu, Y.F. Lin, Y.J. Chung, and L.Y. Chung Stability conditions for Cohen-Grossberg neural networks with time-varying delays Physics Letters A 372 2008 2264 2268
13. C.H. Lien, K.W. Yu, Y.F. Lin, Y.J. Chung, and L.Y. Chung Exponential convergence rate estimation for uncertain delayed neural networks of neutral type Chaos, Solitons & Fractals 40 2009 2491 2499
14. W. Wu, B.T. Cui, and M. Huang Global asymptotic stability of Cohen-Grossberg neural networks with constant and variable delays Chaos, Solitons and Fractals 33 2007 1355 1361