An LMI approach for global robust dissipativity analysis of T-S fuzzy neural networks with interval time-varying delays

Expert Systems with Applications

Volumn 39, Issue 3, 2012, Pages 3345-3355

  Muralisankar, S ^a   Gopalakrishnan, N ^a   Balasubramaniam, P ^b  

^a MADURAI KAMARAJ UNIVERSITY   (India)

^b GANDHIGRAM RURAL UNIVERSITY   (India)

Author keywords

Global dissipativity; Linear matrix inequality; Neural networks; T S fuzzy model; Time varying delays

Indexed keywords

COMPLEX NONLINEAR SYSTEM; DELAY-DEPENDENT CRITERIA; DISSIPATIVITY; FUZZY REASONING; INTERVAL TIME-VARYING DELAYS; LINEAR MATRIX INEQUALITY TECHNIQUES; LMI APPROACH; LMI TOOLBOXES; LYAPUNOV-KRASOVSKII FUNCTIONALS; NUMERICAL EXAMPLE; SUBMODELS; T-S FUZZY MODELS; T-S FUZZY NEURAL NETWORK; TAKAGI SUGENO FUZZY MODELS; THEORETICAL RESULT; TIME-VARYING DELAY;

FUZZY SETS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; TIME VARYING CONTROL SYSTEMS; TIME VARYING NETWORKS;

FUZZY NEURAL NETWORKS;

EID: 80255134461     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2011.09.021     Document Type: Article

References (27)

1. S. Arik On the global dissipativity of dynamical neural networks with time delays Physics Letters A 326 2004 126 132
2. B. Boyd, L.E. Ghoui, E. Feron, and V. Balakrishnan Linear matrix inequalities in system and control theory 1994 SIAM Philadelphia
3. Y.Y. Cao, and P.M. Frank Analysis and synthesis of nonlinear time delay systems via fuzzy control approach IEEE Transactions on Fuzzy Systems 8 2000 200 211
4. Y.Y. Cao, and P.M. Frank Stability analysis and synthesis of nonlinear time-delay systems via linear Takagi-Sugeno fuzzy models IEEE Transactions on Fuzzy Systems 124 2001 213 229 (Pubitemid 32842234)
5. J. Cao, K. Yuan, D.W.C. Ho, and J. Lam Global point dissipativity of neural networks with mixed time-varying delays Chaos 16 2006 013105
6. W. Feng, S.X. Yang, and H. Wu On robust stability of uncertain stochastic neural networks with distributed and interval time-varying delays Chaos, Solitons and Fractals 42 2009 2095 2104
7. Gu, K. (1994). Integral inequality in the stability problem of Time-Delay Systems. In Proceeding 39th IEEE CDC, Sydney, Philadelphia.
8. J.K. Hale Asymptotic behavior of dissipative systems Mathematical surveys and monographs Vol. 25 1988 American Mathematical Society Providence, RI, USA
9. S. Haykin Neural networks: A comprehensive foundation 1998 Prentice Hall NJ
10. D.J. Hill, and P.J. Moylan Stability of nonlinear dissipative systems IEEE Transactions on Automatic Control 21 1976 708 711
11. T. Huang Exponential stability of fuzzy cellular neural networks with distributed delay Physics Letters A 351 2006 48 52 (Pubitemid 43175736)
12. Y. Huang, D. Xu, and Z. Yang Dissipativity and periodic attractor for non-autonomous neural networks with time-varying delays Neurocomputing 70 2007 16 18
13. X. Li Existence and global exponential stability of periodic solution for delayed neural networks with impulsive and stochastic effects Neurocomputing 73 2010 749758
14. X. Li Global robust stability for stochastic interval neural networks with continuously distributed delays of neutral type Applied Mathematics and Computation 215 2010 4370 4384
15. X. Liao, and J. Wang Global dissipativity of continuous-time recurrent neural networks with time delay Physical Review E 68 2003 1 7
16. Y. Liu, and W. Tang Exponential stability of fuzzy cellular neural networks with constant and time-varying delays Physics Letters A 323 2004 224 233
17. X.Y. Lou, and B.T. Cui Global robust dissipativity for integro-differential systems modeling neural networks with delays Chaos, Solitons and Fractals 36 2008 469 478 (Pubitemid 47588877)
18. I. Masubuchi Dissipativity inequalities for continuous-time descriptor systems with applications to synthesis of control gains Systems & Control Letters 55 2006 158 164 (Pubitemid 41745434)
19. R. Rakkiyappan, and P. Balasubramaniam Delay-probability-distribution- dependent stability of uncertain stochastic genetic regulatory networks with mixed time-varying delays: An LMI approach Nonlinear Analysis: Hybrid Systems 4 2010 600 607
20. Q. Song, and J. Cao Global dissipativity analysis on uncertain neural networks with mixed time-varying delays Chaos 18 2008 043126
21. Song, Q.; & Cao, J. (2010) Global dissipativity on uncertain discrete-time neural networks with time-varying delays. Discrete Dynamics in Nature and Society doi:10.1155/2010/810408.
22. Q. Song, and Z. Zhao Global dissipativity of neural networks with both variable and unbounded delays Chaos, Solitons and Fractals 25 2005 393 401 (Pubitemid 40220241)
23. T. Takagi, and M. Sugeno Fuzzy identification of systems and its applications to modeling and control IEEE Transactions on Systems, Man and Cybernetics 15 1985 116 132
24. Z.Q. Tan, Y.C. Soh, and L.H. Xie Dissipative control for linear discrete-time systems Automatica 35 1999 1557 1564
25. G. Wang, J. Cao, and L. Wang Global dissipativity of stochastic neural networks with time delay Journal of the Franklin Institute 346 2009 794 807
26. J.C. Willems Dissipative dynamical system - Part 1: General theory Archive for Rational Mechanics and Analysis 45 1972 321 351
27. H. Zhang, H. Yan, and Q. Chen Stability and dissipative analysis for a class of stochastic system with time-delay Journal of the Franklin Institute 347 2010 882 893