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Volumn 30, Issue 6, 2011, Pages 1595-1616

Existence and global asymptotic stability of fuzzy cellular neural networks with time delay in the leakage term and unbounded distributed delays

Author keywords

Fuzzy cellular neural networks; Global asymptotic stability; Homeomorphism mapping; Leakage delay; Linear matrix inequality; Unbounded distributed delays

Indexed keywords

COGNITIVE PROCESS; EQUILIBRIUM POINT; FREE-WEIGHTING MATRICES; FUZZY CELLULAR NEURAL NETWORKS; GLOBAL ASYMPTOTIC STABILITY; GLOBAL ASYMPTOTIC STABILITY ANALYSIS; HOMEOMORPHISM MAPPING; HUMAN EXPERT; LMI APPROACH; LYAPUNOV-KRASOVSKII FUNCTIONALS; NEURAL SYSTEMS; NUMERICAL EXAMPLE; STABILITY BEHAVIOR; TIME-VARYING DELAY; UNBOUNDED DISTRIBUTED DELAYS;

EID: 80054931163     PISSN: 0278081X     EISSN: 15315878     Source Type: Journal    
DOI: 10.1007/s00034-011-9288-7     Document Type: Article
Times cited : (56)

References (30)
  • 1
    • 78751605964 scopus 로고    scopus 로고
    • Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays
    • 2769457 1217.34116 10.1016/j.mcm.2010.10.021
    • P. Balasubramaniam M. Kalpana R. Rakkiyappan 2011 Global asymptotic stability of BAM fuzzy cellular neural networks with time delay in the leakage term, discrete and unbounded distributed delays Math. Comput. Model. 53 5-6 839 853 2769457 1217.34116 10.1016/j.mcm.2010.10.021
    • (2011) Math. Comput. Model. , vol.53 , Issue.56 , pp. 839-853
    • Balasubramaniam, P.1    Kalpana, M.2    Rakkiyappan, R.3
  • 4
    • 50349099931 scopus 로고    scopus 로고
    • New LMI conditions for global exponential stability of cellular neural networks with delays
    • 2451710 1154.34378 10.1016/j.nonrwa.2007.09.011
    • L. Chen H. Zhao 2009 New LMI conditions for global exponential stability of cellular neural networks with delays Nonlinear Anal., Real World Appl. 10 287 297 2451710 1154.34378 10.1016/j.nonrwa.2007.09.011
    • (2009) Nonlinear Anal., Real World Appl. , vol.10 , pp. 287-297
    • Chen, L.1    Zhao, H.2
  • 5
    • 55949088751 scopus 로고    scopus 로고
    • Stability analysis of stochastic fuzzy cellular neural networks with delays
    • 10.1016/j.neucom.2007.12.005
    • L. Chen H. Zhao 2008 Stability analysis of stochastic fuzzy cellular neural networks with delays Neurocomputing 72 436 444 10.1016/j.neucom.2007.12. 005
    • (2008) Neurocomputing , vol.72 , pp. 436-444
    • Chen, L.1    Zhao, H.2
  • 6
    • 0024088955 scopus 로고
    • Cellular neural networks: Theory
    • 960777 0663.94022 10.1109/31.7600
    • L.O. Chua L. Yang 1988 Cellular neural networks: theory IEEE Trans. Circuits Syst. 35 10 1257 1272 960777 0663.94022 10.1109/31.7600
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , Issue.10 , pp. 1257-1272
    • Chua, L.O.1    Yang, L.2
  • 7
    • 0024092072 scopus 로고
    • Cellular neural networks: Applications
    • 960778 10.1109/31.7601
    • L.O. Chua L. Yang 1988 Cellular neural networks: applications IEEE Trans. Circuits Syst. 35 10 1273 1290 960778 10.1109/31.7601
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , Issue.10 , pp. 1273-1290
    • Chua, L.O.1    Yang, L.2
  • 8
  • 9
    • 77955307758 scopus 로고    scopus 로고
    • Stability analysis of stochastic fuzzy cellular neural networks with time-varying delays and reaction-diffusion terms
    • 10.1007/s11063-010-9144-y
    • Q. Gan R. Xu P. Yang 2010 Stability analysis of stochastic fuzzy cellular neural networks with time-varying delays and reaction-diffusion terms Neural Process. Lett. 32 1 45 57 10.1007/s11063-010-9144-y
    • (2010) Neural Process. Lett. , vol.32 , Issue.1 , pp. 45-57
    • Gan, Q.1    Xu, R.2    Yang, P.3
  • 10
    • 33750380388 scopus 로고    scopus 로고
    • Leakage delays in BAM
    • DOI 10.1016/j.jmaa.2006.02.039, PII S0022247X06001442
    • K. Gopalsamy 2007 Leakage delays in BAM J. Math. Anal. Appl. 325 1117 1132 2270073 1116.34058 10.1016/j.jmaa.2006.02.039 (Pubitemid 44615832)
    • (2007) Journal of Mathematical Analysis and Applications , vol.325 , Issue.2 , pp. 1117-1132
    • Gopalsamy, K.1
  • 12
    • 0034439996 scopus 로고    scopus 로고
    • An integral inequality in the stability problem of time-delay systems
    • K. Gu, An integral inequality in the stability problem of time-delay systems, in Proceedings of the 39th IEEE Conference on Decision and Control Sydney, Australia (2000), pp. 2805-2810 (Pubitemid 32528463)
    • (2000) Proceedings of the IEEE Conference on Decision and Control , vol.3 , pp. 2805-2810
    • Gu, K.1
  • 14
    • 31744447713 scopus 로고    scopus 로고
    • Exponential stability of fuzzy cellular neural networks with distributed delay
    • DOI 10.1016/j.jviromet.2005.11.016, PII S0375960105016300
    • T. Huang 2006 Exponential stability of fuzzy cellular neural networks with distributed delay Phys. Lett. A 351 48 52 05715137 10.1016/j.physleta.2005. 10.060 (Pubitemid 43175736)
    • (2006) Physics Letters, Section A: General, Atomic and Solid State Physics , vol.351 , Issue.1-2 , pp. 48-52
    • Huang, T.1
  • 15
    • 61349112088 scopus 로고    scopus 로고
    • Invariant and attracting set of fuzzy cellular neural networks with variable delays
    • 2502240 05563150 10.1016/j.aml.2008.06.019
    • Y. Huang W. Zhu D. Xu 2009 Invariant and attracting set of fuzzy cellular neural networks with variable delays Appl. Math. Lett. 22 4 478 483 2502240 05563150 10.1016/j.aml.2008.06.019
    • (2009) Appl. Math. Lett. , vol.22 , Issue.4 , pp. 478-483
    • Huang, Y.1    Zhu, W.2    Xu, D.3
  • 16
    • 77953835896 scopus 로고    scopus 로고
    • Delay-dependent stability of neural networks of neutral type with time delay in the leakage term
    • 2652478 1196.82102 10.1088/0951-7715/23/7/010
    • X. Li J. Cao 2010 Delay-dependent stability of neural networks of neutral type with time delay in the leakage term Nonlinearity 23 1709 1726 2652478 1196.82102 10.1088/0951-7715/23/7/010
    • (2010) Nonlinearity , vol.23 , pp. 1709-1726
    • Li, X.1    Cao, J.2
  • 17
    • 77955517065 scopus 로고    scopus 로고
    • Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations
    • 2683858 1205.34108 10.1016/j.nonrwa.2010.03.014
    • X. Li X. Fu P. Balasubramaniam R. Rakkiyappan 2010 Existence, uniqueness and stability analysis of recurrent neural networks with time delay in the leakage term under impulsive perturbations Nonlinear Anal., Real World Appl. 11 5 4092 4108 2683858 1205.34108 10.1016/j.nonrwa.2010.03.014
    • (2010) Nonlinear Anal., Real World Appl. , vol.11 , Issue.5 , pp. 4092-4108
    • Li, X.1    Fu, X.2    Balasubramaniam, P.3    Rakkiyappan, R.4
  • 18
    • 64149089394 scopus 로고    scopus 로고
    • On the stability of nonlinear systems with leakage delay
    • 2527721 1166.93367 10.1016/j.jfranklin.2008.12.001
    • C. Li T. Huang 2009 On the stability of nonlinear systems with leakage delay J. Franklin Inst. 346 366 377 2527721 1166.93367 10.1016/j.jfranklin.2008. 12.001
    • (2009) J. Franklin Inst. , vol.346 , pp. 366-377
    • Li, C.1    Huang, T.2
  • 19
    • 79251598420 scopus 로고    scopus 로고
    • Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations
    • 2771833 05869037 10.1016/j.jfranklin.2010.10.009
    • X. Li R. Rakkiyappan P. Balasubramaniam 2011 Existence and global stability analysis of equilibrium of fuzzy cellular neural networks with time delay in the leakage term under impulsive perturbations J. Franklin Inst. 348 2 135 155 2771833 05869037 10.1016/j.jfranklin.2010.10.009
    • (2011) J. Franklin Inst. , vol.348 , Issue.2 , pp. 135-155
    • Li, X.1    Rakkiyappan, R.2    Balasubramaniam, P.3
  • 20
    • 80054943662 scopus 로고    scopus 로고
    • Stability analysis of fuzzy cellular neural networks with time-varying delays and impulses
    • K. Li Q. Song 2006 Stability analysis of fuzzy cellular neural networks with time-varying delays and impulses Int. J. Comput. Sci. Netw. Secur. 6 7A 108 116
    • (2006) Int. J. Comput. Sci. Netw. Secur. , vol.6 , Issue.7 A , pp. 108-116
    • Li, K.1    Song, Q.2
  • 21
    • 1542345660 scopus 로고    scopus 로고
    • Exponential stability of fuzzy cellular neural networks with constant and time-varying delays
    • 2050486 1118.81400 10.1016/j.physleta.2004.01.064
    • Y. Liu W. Tang 2004 Exponential stability of fuzzy cellular neural networks with constant and time-varying delays Phys. Lett. A 323 224 233 2050486 1118.81400 10.1016/j.physleta.2004.01.064
    • (2004) Phys. Lett. A , vol.323 , pp. 224-233
    • Liu, Y.1    Tang, W.2
  • 22
    • 58149470844 scopus 로고    scopus 로고
    • Novel stability criterions of a new fuzzy cellular neural networks with time-varying delays
    • 10.1016/j.neucom.2008.04.001
    • Z. Liu H. Zhang Z. Wang 2009 Novel stability criterions of a new fuzzy cellular neural networks with time-varying delays Neurocomputing 72 1056 1064 10.1016/j.neucom.2008.04.001
    • (2009) Neurocomputing , vol.72 , pp. 1056-1064
    • Liu, Z.1    Zhang, H.2    Wang, Z.3
  • 24
    • 77950917878 scopus 로고    scopus 로고
    • Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms
    • 2646624 05716781 10.1016/j.nonrwa.2009.06.004
    • S. Peng 2010 Global attractive periodic solutions of BAM neural networks with continuously distributed delays in the leakage terms Nonlinear Anal., Real World Appl. 11 2141 2151 2646624 05716781 10.1016/j.nonrwa.2009.06.004
    • (2010) Nonlinear Anal., Real World Appl. , vol.11 , pp. 2141-2151
    • Peng, S.1
  • 25
    • 77952420474 scopus 로고    scopus 로고
    • Global asymptotic stability of fuzzy cellular neural networks with unbounded distributed delays
    • 10.1007/s11063-010-9130-4
    • M. Tan 2010 Global asymptotic stability of fuzzy cellular neural networks with unbounded distributed delays Neural Process. Lett. 31 147 157 10.1007/s11063-010-9130-4
    • (2010) Neural Process. Lett. , vol.31 , pp. 147-157
    • Tan, M.1
  • 26
    • 67651230408 scopus 로고    scopus 로고
    • Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms
    • 2559991 1198.34094 10.1016/j.chaos.2009.03.177
    • X. Wang D. Xu 2009 Global exponential stability of impulsive fuzzy cellular neural networks with mixed delays and reaction-diffusion terms Chaos Solitons Fractals 42 5 2713 2721 2559991 1198.34094 10.1016/j.chaos.2009.03.177
    • (2009) Chaos Solitons Fractals , vol.42 , Issue.5 , pp. 2713-2721
    • Wang, X.1    Xu, D.2
  • 30
    • 65449139221 scopus 로고    scopus 로고
    • Almost sure exponential stability of stochastic fuzzy cellular neural networks with delays
    • 2531255 1198.34173 10.1016/j.chaos.2007.09.044
    • H. Zhao N. Ding L. Chen 2009 Almost sure exponential stability of stochastic fuzzy cellular neural networks with delays Chaos Solitons Fractals 40 4 1653 1659 2531255 1198.34173 10.1016/j.chaos.2007.09.044
    • (2009) Chaos Solitons Fractals , vol.40 , Issue.4 , pp. 1653-1659
    • Zhao, H.1    Ding, N.2    Chen, L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.