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Volumn 38, Issue 1, 2011, Pages 121-130

Delay dependent stability results for fuzzy BAM neural networks with Markovian jumping parameters

Author keywords

BAM neural networks; Fuzzy systems; Linear matrix inequality; Lyapunov Krasovskii functional; Markovian jumping parameters

Indexed keywords

BAM NEURAL NETWORK; BELONG TO; BI-DIRECTIONAL ASSOCIATIVE MEMORIES; CONTINUOUS TIME; DELAY-DEPENDENT; DELAY-DEPENDENT STABILITY; DELAY-DEPENDENT STABILITY CONDITION; FINITE-STATE; FREE-WEIGHTING MATRICES; INTERVAL DELAY; INTERVAL TIME-VARYING DELAYS; JUMPING PARAMETERS; LINEAR MATRIX; LOWER AND UPPER BOUNDS; LYAPUNOV-KRASOVSKII FUNCTIONALS; MARKOVIAN; MARKOVIAN JUMPING PARAMETERS; NUMERICAL EXAMPLE; PARAMETER UNCERTAINTY; STABILITY ANALYSIS; T-S FUZZY MODELS; TAKAGI SUGENO FUZZY MODELS; TIME VARYING;

EID: 77956618024     PISSN: 09574174     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.eswa.2010.06.025     Document Type: Article
Times cited : (42)

References (45)
  • 1
    • 4143115663 scopus 로고    scopus 로고
    • An analysis of exponential stability of delayed neural networks with time-varying delays
    • S. Arik An analysis of exponential stability of delayed neural networks with time-varying delays Neural Networks 17 2004 1027 1031
    • (2004) Neural Networks , vol.17 , pp. 1027-1031
    • Arik, S.1
  • 2
    • 0033721189 scopus 로고    scopus 로고
    • Analysis and synthesis of nonlinear time-delay systems via fuzzy control approach
    • 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
    • (2000) IEEE Transactions on Fuzzy Systems , vol.8 , pp. 200-211
    • Cao, Y.Y.1    Frank, P.M.2
  • 3
    • 14644434391 scopus 로고    scopus 로고
    • Global asymptotic and robust stability of recurrent neural networks with time delays
    • DOI 10.1109/TCSI.2004.841574
    • J. Cao, and J. Wang Global asymptotic and robust stability of recurrent neural networks with time delays IEEE Transactions on Circuits and Systems I 52 2005 417 426 (Pubitemid 40319475)
    • (2005) IEEE Transactions on Circuits and Systems I: Regular Papers , vol.52 , Issue.2 , pp. 417-426
    • Cao, J.1    Wang, J.2
  • 4
    • 32544432815 scopus 로고    scopus 로고
    • Periodic bidirectional associative memory neural networks with distributed delays
    • DOI 10.1016/j.jmaa.2005.09.092, PII S0022247X05010279
    • A. Chen, L. Huang, Z. Liu, and J. Cao Periodic bidirectional associative memory neural networks with distributed delays Journal of Mathematical Analysis and Applications 317 2006 80 102 (Pubitemid 43231261)
    • (2006) Journal of Mathematical Analysis and Applications , vol.317 , Issue.1 , pp. 80-102
    • Chen, A.1    Huang, L.2    Liu, Z.3    Cao, J.4
  • 6
    • 34547817664 scopus 로고    scopus 로고
    • New delay-dependent stabilization conditions of T-Z fuzzy systems with constant delay
    • B. Chen, X.P. Liu, and S.C. Tong New delay-dependent stabilization conditions of T-Z fuzzy systems with constant delay Fuzzy Sets and Systems 20 2007 2209 2224
    • (2007) Fuzzy Sets and Systems , vol.20 , pp. 2209-2224
    • Chen, B.1    Liu, X.P.2    Tong, S.C.3
  • 7
    • 35348892662 scopus 로고    scopus 로고
    • Stabilization of nonlinear systems under variable sampling: A fuzzy control approach
    • H.J. Gao, and T.W. Chen Stabilization of nonlinear systems under variable sampling: A fuzzy control approach IEEE Transactions on Fuzzy Systems 15 2007 972 983
    • (2007) IEEE Transactions on Fuzzy Systems , vol.15 , pp. 972-983
    • Gao, H.J.1    Chen, T.W.2
  • 9
    • 33845939101 scopus 로고    scopus 로고
    • Delay-range-dependent stability for systems with time-varying delay
    • DOI 10.1016/j.automatica.2006.08.015, PII S0005109806003694
    • Y. He, Q.G. Wang, C. Lin, and M. Wu Delay-range dependent stability for systems with time-varying delay Automatica 43 2007 371 376 (Pubitemid 46037586)
    • (2007) Automatica , vol.43 , Issue.2 , pp. 371-376
    • He, Y.1    Wang, Q.-G.2    Lin, C.3    Wu, M.4
  • 10
    • 2942594461 scopus 로고    scopus 로고
    • Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties
    • Y. He, M. Wu, J.H. She, and G.P. Liu Parameter-dependent Lyapunov functional for stability of time-delay systems with polytopic-type uncertainties IEEE Transactions on Automatic Control 49 2004 828 832
    • (2004) IEEE Transactions on Automatic Control , vol.49 , pp. 828-832
    • He, Y.1    Wu, M.2    She, J.H.3    Liu, G.P.4
  • 12
    • 31744447713 scopus 로고    scopus 로고
    • Exponential stability of fuzzy cellular neural networks with distributed delays
    • T.W. Huang Exponential stability of fuzzy cellular neural networks with distributed delays Physics Letters A 351 2006 48 52
    • (2006) Physics Letters A , vol.351 , pp. 48-52
    • Huang, T.W.1
  • 13
    • 20444396501 scopus 로고    scopus 로고
    • Stochastic stability analysis of fuzzy Hopfield neural networks with time varying delays
    • H. Huang, D.W.C. Ho, and J. Lam Stochastic stability analysis of fuzzy Hopfield neural networks with time varying delays IEEE Transactions on Circuits and Systems: II 52 2005 251 255
    • (2005) IEEE Transactions on Circuits and Systems: II , vol.52 , pp. 251-255
    • Huang, H.1    Ho, D.W.C.2    Lam, J.3
  • 14
    • 34548451976 scopus 로고    scopus 로고
    • Robust stability of stochastic delayed additive neural networks with Markovian switching
    • H. Huang, D.W.C. Ho, and Y. Qu Robust stability of stochastic delayed additive neural networks with Markovian switching Neural Networks 20 2007 799 809
    • (2007) Neural Networks , vol.20 , pp. 799-809
    • Huang, H.1    Ho, D.W.C.2    Qu, Y.3
  • 16
    • 33745147222 scopus 로고    scopus 로고
    • Delay-dependent asymptotic stability for neural networks with distributed delays
    • DOI 10.1016/j.nonrwa.2005.11.001, PII S146812180500146X
    • X. Liao, Q. Liu, and W. Zhang Delay-dependent asymptotic stability for neural networks with distributed delays Nonlinear Analysis, RWA 7 2006 1178 1192 (Pubitemid 43903688)
    • (2006) Nonlinear Analysis: Real World Applications , vol.7 , Issue.5 , pp. 1178-1192
    • Liao, X.1    Liu, Q.2    Zhang, W.3
  • 17
    • 61849172400 scopus 로고    scopus 로고
    • Mean square exponential stability of stochastic fuzzy Hopfield neural networks with discrete and distributed time-varying delays
    • H. Li, B. Chen, C. Lin, and Q. Zhou Mean square exponential stability of stochastic fuzzy Hopfield neural networks with discrete and distributed time-varying delays Neurocomputing 72 2009 2017 2023
    • (2009) Neurocomputing , vol.72 , pp. 2017-2023
    • Li, H.1    Chen, B.2    Lin, C.3    Zhou, Q.4
  • 18
    • 46449109033 scopus 로고    scopus 로고
    • Robust exponential stability for delayed uncertain Hopfield neural networks with Markovian jumping parameters
    • H. Li, B. Chen, Q. Zhou, and C. Lin Robust exponential stability for delayed uncertain Hopfield neural networks with Markovian jumping parameters Physics Letters A 372 2008 4996 5003
    • (2008) Physics Letters A , vol.372 , pp. 4996-5003
    • Li, H.1    Chen, B.2    Zhou, Q.3    Lin, C.4
  • 19
    • 61549090587 scopus 로고    scopus 로고
    • Robust stability for uncertain delayed fuzzy Hopfield neural networks with Markovian jumping parameters
    • H. Li, B. Chen, Q. Zhou, and W. Qian Robust stability for uncertain delayed fuzzy Hopfield neural networks with Markovian jumping parameters IEEE Transactions on Systems, Man and Cybernetics B 39 2009 94 102
    • (2009) IEEE Transactions on Systems, Man and Cybernetics B , vol.39 , pp. 94-102
    • Li, H.1    Chen, B.2    Zhou, Q.3    Qian, W.4
  • 22
    • 58349115400 scopus 로고    scopus 로고
    • Global stability analysis of interval neutral networks with discrete and distributed delays of neutral type
    • L. Liu, Z. Han, and W. Li Global stability analysis of interval neutral networks with discrete and distributed delays of neutral type Expert System with Applications 36 2009 7328 7331
    • (2009) Expert System with Applications , vol.36 , pp. 7328-7331
    • Liu, L.1    Han, Z.2    Li, W.3
  • 23
    • 64549092800 scopus 로고    scopus 로고
    • Delay-range-dependent stability for fuzzy BAM neural networks with time-varying delays
    • B. Liu, and P. Shi Delay-range-dependent stability for fuzzy BAM neural networks with time-varying delays Physics Letters A 373 2009 1830 1838
    • (2009) Physics Letters A , vol.373 , pp. 1830-1838
    • Liu, B.1    Shi, P.2
  • 24
    • 33845900219 scopus 로고    scopus 로고
    • Delay-dependent stochastic stability of delayed Hopfield neural networks with Markovian jump parameters
    • X. Lou, and B. Cui Delay-dependent stochastic stability of delayed Hopfield neural networks with Markovian jump parameters Journal of Mathematical Analysis and Applications 328 2007 316 326
    • (2007) Journal of Mathematical Analysis and Applications , vol.328 , pp. 316-326
    • Lou, X.1    Cui, B.2
  • 25
    • 34249020142 scopus 로고    scopus 로고
    • Stochastic exponential stability for Markovian jumping BAM neural networks with time-varying delays
    • X.Y. Lou, and B.T. Cui Stochastic exponential stability for Markovian jumping BAM neural networks with time-varying delays IEEE Transactions on Systems, Man and Cybernetics B 37 2007 713 719
    • (2007) IEEE Transactions on Systems, Man and Cybernetics B , vol.37 , pp. 713-719
    • Lou, X.Y.1    Cui, B.T.2
  • 26
    • 34848923784 scopus 로고    scopus 로고
    • Robust asymptotic stability of uncertain fuzzy BAM neural networks with time-varying delays
    • 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 2007 2746 2756
    • (2007) Fuzzy Sets and Systems , vol.158 , pp. 2746-2756
    • Lou, X.Y.1    Cui, B.T.2
  • 27
    • 0036806724 scopus 로고    scopus 로고
    • Exponential stability of stochastic delay interval systems with Markovian switching
    • X. Mao Exponential stability of stochastic delay interval systems with Markovian switching IEEE Transactions on Automatic Control 47 2002 1604 1612
    • (2002) IEEE Transactions on Automatic Control , vol.47 , pp. 1604-1612
    • Mao, X.1
  • 28
    • 23944497636 scopus 로고    scopus 로고
    • ∞ fuzzy filter design for uncertain nonlinear systems with markovian jumps: An LMI approach
    • ThA02.4, Proceedings of the 2005 American Control Conference, ACC
    • ∞ fuzzy filter design for uncertain nonlinear systems with Markovian jumps: An LMI approach. In Proceedings of the American Control Conference (pp. 1799-1804). (Pubitemid 41189125)
    • (2005) Proceedings of the American Control Conference , vol.3 , pp. 1799-1804
    • Nguang, S.K.1    Assawinchaichote, W.2    Shi, P.3    Shi, Y.4
  • 29
    • 23944441247 scopus 로고    scopus 로고
    • ∞ control design for uncertain fuzzy systems with markovian jumps: An LMI approach
    • ThA02.5, Proceedings of the 2005 American Control Conference, ACC
    • ∞ control design for uncertain fuzzy systems with Markovian jumps: An LMI approach. In Proceedings of the American Control Conference (pp. 1805-1810). (Pubitemid 41189126)
    • (2005) Proceedings of the American Control Conference , vol.3 , pp. 1805-1810
    • Nguang, S.K.1    Assawinchaichote, W.2    Shi, P.3    Shi, Y.4
  • 30
    • 0000506818 scopus 로고    scopus 로고
    • Global dynamics of bidirectional associative memory neural networks involving transmission delays and dead zones
    • V.S.H. Rao, and R.M. Phaneendra Global dynamics of bidirectional associative memory neural networks involving transmission delays and dead zones Neural Networks 12 1999 455
    • (1999) Neural Networks , vol.12 , pp. 455
    • Rao, V.S.H.1    Phaneendra, R.M.2
  • 31
    • 36148929089 scopus 로고    scopus 로고
    • Broadcast scheduling in wireless and sensor networks using fuzzy Hopfield neural network
    • Y.-J. Shen, and M.-S. Wang Broadcast scheduling in wireless and sensor networks using fuzzy Hopfield neural network Expert System with Applications 34 2008 900 907
    • (2008) Expert System with Applications , vol.34 , pp. 900-907
    • Shen, Y.-J.1    Wang, M.-S.2
  • 33
    • 33747794306 scopus 로고    scopus 로고
    • Stability and gain analysis for switched delay systems: A delay-dependent method
    • X.M. Sun, J. Zhao, and D.J. Hill Stability and gain analysis for switched delay systems: A delay-dependent method Automatica 42 2006 1769 1774
    • (2006) Automatica , vol.42 , pp. 1769-1774
    • Sun, X.M.1    Zhao, J.2    Hill, D.J.3
  • 34
    • 0020829468 scopus 로고
    • An LQ-solution to a control problem associated with solar thermal central receiver
    • D.D. Sworder, and R.O. Rogers An LQ-solution to a control problem associated with solar thermal central receiver IEEE Transactions on Automatic Control AC-28 1983 971 978
    • (1983) IEEE Transactions on Automatic Control , vol.28 , pp. 971-978
    • Sworder, D.D.1    Rogers, R.O.2
  • 35
    • 0021892282 scopus 로고
    • Fuzzy identification of systems and its application to modeling and control
    • T. Takagi, and M. Sugeno Fuzzy identification of systems and its application to modeling and control IEEE Transactions on Systems, Man and Cybernetics SMC-15 1985 116 132
    • (1985) IEEE Transactions on Systems, Man and Cybernetics , vol.15 , pp. 116-132
    • Takagi, T.1    Sugeno, M.2
  • 36
    • 0037120681 scopus 로고    scopus 로고
    • Observer-based robust fuzzy control of nonlinear systems with parametric uncertainties
    • S.C. Tong, and H.H. Li Observer-based robust fuzzy control of nonlinear systems with parametric uncertainties Fuzzy Sets and Systems 131 2002 165 184
    • (2002) Fuzzy Sets and Systems , vol.131 , pp. 165-184
    • Tong, S.C.1    Li, H.H.2
  • 38
    • 3142691900 scopus 로고    scopus 로고
    • A note on the robust stability of uncertain stochastic fuzzy systems with time-delays
    • Z.D. Wang, D.W.C. Ho, and X. Liu A note on the robust stability of uncertain stochastic fuzzy systems with time-delays IEEE Transactions on Systems, Man and Cybernetics A 34 2004 570 576
    • (2004) IEEE Transactions on Systems, Man and Cybernetics A , vol.34 , pp. 570-576
    • Wang, Z.D.1    Ho, D.W.C.2    Liu, X.3
  • 39
    • 33745348656 scopus 로고    scopus 로고
    • Exponential stability delayed recurrent neural networks with Markovian jumping parameters
    • Z. Wang, Y. Liu, L. Yu, and X. Liu Exponential stability delayed recurrent neural networks with Markovian jumping parameters Physics Letters A 356 2006 346 352
    • (2006) Physics Letters A , vol.356 , pp. 346-352
    • Wang, Z.1    Liu, Y.2    Yu, L.3    Liu, X.4
  • 41
    • 0003483184 scopus 로고
    • Stochastic stability research for complex power systems
    • Cambridge, MA, Rep. ET-76-C-01-2295.
    • Willsky, A. S., Rogers, B. C. (1979). Stochastic stability research for complex power systems. DOE Contract, LIDS, Mass. Inst. Technol., Cambridge, MA, Rep. ET-76-C-01-2295.
    • (1979) DOE Contract, LIDS, Mass. Inst. Technol.
    • Willsky, A.S.1    Rogers, B.C.2
  • 42
    • 33744511672 scopus 로고    scopus 로고
    • Mode-independent robust stabilization for uncertain Markovian jump nonlinear systems via fuzzy control
    • H.M. Wu, and K.Y. Cai Mode-independent robust stabilization for uncertain Markovian jump nonlinear systems via fuzzy control IEEE Transactions on Systems, Man and Cybernetics B 36 2006 509 519
    • (2006) IEEE Transactions on Systems, Man and Cybernetics B , vol.36 , pp. 509-519
    • Wu, H.M.1    Cai, K.Y.2
  • 43
    • 33845953435 scopus 로고    scopus 로고
    • Robust fuzzy control for uncertain discrete-time nonlinear Markovian jump systems without mode observations
    • H.N. Wu, and K.Y. Cai Robust fuzzy control for uncertain discrete-time nonlinear Markovian jump systems without mode observations Information Science 177 2007 1509 1522
    • (2007) Information Science , vol.177 , pp. 1509-1522
    • Wu, H.N.1    Cai, K.Y.2
  • 44
    • 33846194204 scopus 로고    scopus 로고
    • Delay-dependent global stability condition for delayed Hopfield neural networks
    • DOI 10.1016/j.nonrwa.2006.05.002, PII S146812180600054X
    • Q. Zhang, X. Wei, and J. Xu Delay-dependent global stability condition for delayed Hopfield neural networks Nonlinear Analysis, RWA 8 2007 997 1002 (Pubitemid 46097521)
    • (2007) Nonlinear Analysis: Real World Applications , vol.8 , Issue.3 , pp. 997-1002
    • Zhang, Q.1    Wei, X.2    Xu, J.3
  • 45
    • 34547816618 scopus 로고    scopus 로고
    • Delay-dependent stabilization for stochastic fuzzy systems with time delays
    • B.Y. Zhang, S.Y. Xu, G. Zong, and Y. Zou Delay-dependent stabilization for stochastic fuzzy systems with time delays Fuzzy Sets and Systems 158 2007 2238 2250
    • (2007) Fuzzy Sets and Systems , vol.158 , pp. 2238-2250
    • Zhang, B.Y.1    Xu, S.Y.2    Zong, G.3    Zou, Y.4


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