Some new results on stability of Takagi-Sugeno fuzzy Hopfield neural networks

Fuzzy Sets and Systems

Volumn 179, Issue 1, 2011, Pages 100-111

  Ahn, Choon Ki ^a  

^a Seoul National University of Science and Technology   (South Korea)

Author keywords

Input to state stability (ISS); Learning; Lyapunov stability theory; Neuro fuzzy systems; Passivity

Indexed keywords

INPUT-TO-STATE STABILITY; LEARNING; LYAPUNOV STABILITY THEORY; NEURO-FUZZY SYSTEMS; PASSIVITY;

FEEDBACK CONTROL; FUZZY NEURAL NETWORKS; FUZZY SYSTEMS; PASSIVATION; STABILITY;

HOPFIELD NEURAL NETWORKS;

EID: 79960016325     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2011.05.010     Document Type: Article

References (27)

1. L. Jin, and M.M. Gupta Stable dynamic backpropagation learning in recurrent neural networks IEEE Trans. Neural Networks 10 1999 1321 1334 (Pubitemid 30536593)
2. J.J. Hopfield Neurons with grade response have collective computational properties like those of two-state neurons Proc. Natl. Acad. Sci. 81 1984 3088 3092 (Pubitemid 14109528)
3. M.M. Gupta, L. Jin, and N. Homma Static and Dynamic Neural Networks 2003 Wiley-Interscience
4. T. Takagi, and M. Sugeno Fuzzy identification of systems and its applications to modeling and control IEEE Trans. Syst. Man Cybern. 15 1985 116 132
5. K. Tanaka, and M. Sugeno Stability analysis and design of fuzzy control systems Fuzzy Sets Syst. 45 1992 135 156
6. P.A. Mastorocostas, and C.S. Hilas A block-diagonal recurrent fuzzy neural network for system identification Neural Comput. Appl. 18 7 2009 707 717
7. H. Huang, D.W.C. Ho, and J. Lam Stochastic stability analysis of fuzzy Hopfield neural networks with time-varying delays IEEE Trans. Circ. Syst. II 52 2005 251 255 (Pubitemid 40794924)
8. M.S. Ali, and P. Balasubramaniam Stability analysis of uncertain fuzzy Hopfield neural networks with time delays Commun. Nonlinear Sci. Numer. Simul. 14 2009 2776 2783
9. H. Li, B. Chen, Q. Zhou, and W. Qian Robust stability for uncertain delayed fuzzy Hopfield neural networks with Markovian jumping parameters IEEE Trans. Syst. Man Cybern. B 39 2009 94 102
10. X.B. Liang, and L.D. Wu A simple proof of a necessary and sufficient condition for absolute stability of symmetric neural networks IEEE Trans. Circuits Syst. I 45 1998 1010 1011
11. E.N. Sanchez, and J.P. Perez Input-to-state stability (ISS) analysis for dynamic neural networks IEEE Trans. Circuits Syst. I 46 1999 1395 1398 (Pubitemid 30519700)
12. T. Chu, C. Zhang, and Z. Zhang Necessary and sufficient condition for absolute stability of normal neural networks Neural Networks 16 2003 1223 1227 (Pubitemid 37103173)
13. T. Chu, and C. Zhang New necessary and sufficient conditions for absolute stability of neural networks Neural Networks 20 2007 94 101 (Pubitemid 44960620)
14. G.A. Rovithakis, and M.A. Christodoulou Adaptive control of unknown plants using dynamical neural networks IEEE Trans. Syst. Man Cybern. 24 1994 400 412
15. S. Jagannathan, and F.L. Lewis Identification of nonlinear dynamical systems using multilayered neural networks Automatica 32 1996 1707 1712 (Pubitemid 126647295)
16. J.A.K. Suykens, J. Vandewalle, and B. De Moor Lure systems with multilayer perceptron and recurrent neural networks; absolute stability and dissipativity IEEE Trans. Autom. Control 44 1999 770 774
17. I. Chairez, A. Poznyak, and T. Poznyak New sliding-mode learning law for dynamic neural network observer IEEE Trans. Circuits Syst. II 53 2006 1338 1342 (Pubitemid 46443148)
18. J.J. Rubio, and W. Yu Nonlinear system identification with recurrent neural networks and dead-zone Kalman filter algorithm Neurocomputing 70 2007 2460 2466 (Pubitemid 46825358)
19. H.K. Khalil Nonlinear Systems 2001 Prentice-Hall
20. W. Yu, and X. Li Some stability properties of dynamic neural networks IEEE Trans. Circuits Syst. I 48 2001 256 259 (Pubitemid 32254620)
21. W. Yu, and X. Li Passivity analysis of dynamic neural networks with different time-scales Neural Process. Lett. 25 2007 143 155 (Pubitemid 46327488)
22. S. Boyd, L.E. Ghaoui, E. Feron, and V. Balakrishinan Linear Matrix Inequalities in Systems and Control Theory 1994 SIAM Philadelphia, PA
23. C.I. Byrnes, A. Isidori, and J.C. Willem Passivity, feedback equivalence, and the global stabilization of minimum phase nonlinear system IEEE Trans. Autom. Control 36 1991 1228 1240
24. E.D. Sontag, and Y. Wang On characterizations of the input-to-state stability property Syst. Control Lett. 24 1995 351 359
25. P. Gahinet, A. Nemirovski, A.J. Laub, and M. Chilali LMI Control Toolbox 1995 The Mathworks Inc.
26. B. Mansouri, A. Kruszewski, K. Guelton, N. Manamanni, Sub-optimal tracking control for uncertain T-S fuzzy models, in: Proceedings of IFAC Workshop on Advanced Fuzzy/Neural Control, 2007.
27. K.J. Hunt, D. Sbarbaro, R. Zbikowski, and P.J. Gawthrop Neural networks for control systems - a survey Automatica 28 1992 1083 1112 (Pubitemid 23587964)