메뉴 건너뛰기




Volumn 218, Issue 9, 2012, Pages 5035-5042

New stability criteria for neural networks with time-varying delays

Author keywords

Linear matrix inequality; Neural network; Stability; Time varying delay

Indexed keywords

GENERAL CLASS; MATLAB LMI TOOLBOX; RESULTANT MATRICES; STABILITY ANALYSIS; SUBINTERVALS; TIME-VARYING DELAY;

EID: 83555163798     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2011.10.070     Document Type: Article
Times cited : (19)

References (30)
  • 1
    • 0024092072 scopus 로고
    • Cellular neural networks: Theory and applications
    • L. Chua, and L. Yang Cellular neural networks: theory and applications IEEE Trans. Circuits Syst. 35 1988 1273 1291
    • (1988) IEEE Trans. Circuits Syst. , vol.35 , pp. 1273-1291
    • Chua, L.1    Yang, L.2
  • 2
    • 0000459678 scopus 로고    scopus 로고
    • Global stability for cellular neural networks with time delay
    • T. Liao, and F. Wang Global stability for cellular neural networks with time delay IEEE Trans. Neural Netw. 11 2000 1481 1484
    • (2000) IEEE Trans. Neural Netw. , vol.11 , pp. 1481-1484
    • Liao, T.1    Wang, F.2
  • 3
    • 33746364170 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of delayed neural networks with time-varying delay
    • Y. He, M. Wu, and J.H. She Delay-dependent exponential stability of delayed neural networks with time-varying delay IEEE Trans. Circuits Syst - II: express briefs 53 2006 553 557
    • (2006) IEEE Trans. Circuits Syst - II: Express Briefs , vol.53 , pp. 553-557
    • He, Y.1    Wu, M.2    She, J.H.3
  • 4
    • 77954562851 scopus 로고    scopus 로고
    • Exponential stabilization of neural networks with various activation functions and mixed time-varying
    • V.N. Phat, and H. Trinh Exponential stabilization of neural networks with various activation functions and mixed time-varying IEEE Trans. Neural Netw. 21 2010 1180 1184
    • (2010) IEEE Trans. Neural Netw. , vol.21 , pp. 1180-1184
    • Phat, V.N.1    Trinh, H.2
  • 5
    • 0142165161 scopus 로고    scopus 로고
    • Global exponential stability of a general class of recurrent neural networks with time-varying delays
    • Z. Zeng, J. Wang, and X. Liao Global exponential stability of a general class of recurrent neural networks with time-varying delays IEEE Trans. Circuits Syst. 50 2003 1353 1358
    • (2003) IEEE Trans. Circuits Syst. , vol.50 , pp. 1353-1358
    • Zeng, Z.1    Wang, J.2    Liao, X.3
  • 6
    • 78049264737 scopus 로고    scopus 로고
    • Improved results on robust exponential stability criteria for neutral-type delayed neural networks
    • M.S. Mahmoud, and A. Ismail Improved results on robust exponential stability criteria for neutral-type delayed neural networks Appl. Math. Comput. 217 2010 3011 3019
    • (2010) Appl. Math. Comput. , vol.217 , pp. 3011-3019
    • Mahmoud, M.S.1    Ismail, A.2
  • 7
    • 22244437256 scopus 로고    scopus 로고
    • Novel global asymptotic stability criteria for delayed cellular neural network
    • S. Xu, J. Lam, D.W.C. Ho, and Y. Zhou Novel global asymptotic stability criteria for delayed cellular neural network IEEE Trans. Circuits Syst. 52 2005 349 353
    • (2005) IEEE Trans. Circuits Syst. , vol.52 , pp. 349-353
    • Xu, S.1    Lam, J.2    Ho, D.W.C.3    Zhou, Y.4
  • 8
    • 33646512597 scopus 로고    scopus 로고
    • Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays
    • Z. Wang, Y. Liu, M. Li, and X. Liu Stability analysis for stochastic Cohen-Grossberg neural networks with mixed time delays IEEE Trans. Neural Netw. 17 2006 814 820
    • (2006) IEEE Trans. Neural Netw. , vol.17 , pp. 814-820
    • Wang, Z.1    Liu, Y.2    Li, M.3    Liu, X.4
  • 9
    • 34247190550 scopus 로고    scopus 로고
    • On stability of neural networks by a Lyapunov functional based approach
    • J. Xu, D. Pi, Y. Cao, and S. Zhong On stability of neural networks by a Lyapunov functional based approach IEEE Trans. Circuits Syst. 54 2007 1 13
    • (2007) IEEE Trans. Circuits Syst. , vol.54 , pp. 1-13
    • Xu, J.1    Pi, D.2    Cao, Y.3    Zhong, S.4
  • 10
    • 44349110244 scopus 로고    scopus 로고
    • Global asymptotic stability of recurrent neural networks with multiple time-varying delays
    • H. Zhang, Z. Wang, and D. Liu Global asymptotic stability of recurrent neural networks with multiple time-varying delays IEEE Trans. Neural Netw. 19 2008 855 873
    • (2008) IEEE Trans. Neural Netw. , vol.19 , pp. 855-873
    • Zhang, H.1    Wang, Z.2    Liu, D.3
  • 11
    • 33845404228 scopus 로고    scopus 로고
    • Global exponential stability for uncertain cellular neural networks with multiple time-varying delays via LMI approach
    • R.S. Gau, C.H. Lien, and J.G. Hsieh Global exponential stability for uncertain cellular neural networks with multiple time-varying delays via LMI approach Chaos Solitons Fract. 32 2007 1258 1267
    • (2007) Chaos Solitons Fract. , vol.32 , pp. 1258-1267
    • Gau, R.S.1    Lien, C.H.2    Hsieh, J.G.3
  • 12
    • 67349239068 scopus 로고    scopus 로고
    • Exponential stability analysis for uncertain neural networks with interval time-varying delays
    • O.M. Kwon, and J.H. Park Exponential stability analysis for uncertain neural networks with interval time-varying delays Appl. Math. Comput. 212 2009 530 541
    • (2009) Appl. Math. Comput. , vol.212 , pp. 530-541
    • Kwon, O.M.1    Park, J.H.2
  • 13
    • 79959255255 scopus 로고    scopus 로고
    • A new augmented Lyapunov-Krasovskii functional approach to exponential passivity for neural networks with time-varying delays
    • O.M. Kwon, J.H. Park, S.M. Lee, and E.J. Cha A new augmented Lyapunov-Krasovskii functional approach to exponential passivity for neural networks with time-varying delays Appl. Math. Comput. 217 2011 10231 10238
    • (2011) Appl. Math. Comput. , vol.217 , pp. 10231-10238
    • Kwon, O.M.1    Park, J.H.2    Lee, S.M.3    Cha, E.J.4
  • 14
    • 79952002325 scopus 로고    scopus 로고
    • Passivity-based control for Hopfield neural networks using convex representation
    • D.H. Ji, J.H. Koo, S.C. Won, S.M. Lee, and J.H. Park Passivity-based control for Hopfield neural networks using convex representation Appl. Math. Comput. 217 2011 6168 6175
    • (2011) Appl. Math. Comput. , vol.217 , pp. 6168-6175
    • Ji, D.H.1    Koo, J.H.2    Won, S.C.3    Lee, S.M.4    Park, J.H.5
  • 15
    • 33846047356 scopus 로고    scopus 로고
    • New delay-dependent stability criteria for neural networks with time-varying delay
    • Y. He, G.P. Liu, and D. Rees New delay-dependent stability criteria for neural networks with time-varying delay IEEE Trans. Neural Netw. 18 2007 310 314
    • (2007) IEEE Trans. Neural Netw. , vol.18 , pp. 310-314
    • He, Y.1    Liu, G.P.2    Rees, D.3
  • 16
    • 63049089465 scopus 로고    scopus 로고
    • New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks
    • X.M. Zhang, and Q.L. Han New Lyapunov-Krasovskii functionals for global asymptotic stability of delayed neural networks IEEE Trans. Neural Netw. 20 2009 533 539
    • (2009) IEEE Trans. Neural Netw. , vol.20 , pp. 533-539
    • Zhang, X.M.1    Han, Q.L.2
  • 17
    • 58549090694 scopus 로고    scopus 로고
    • Further results on state estimation for neural networks of neutral-type with time-varying delay
    • J.H. Park, and O.M. Kwon Further results on state estimation for neural networks of neutral-type with time-varying delay Appl. Math. Comput. 208 2009 69 75
    • (2009) Appl. Math. Comput. , vol.208 , pp. 69-75
    • Park, J.H.1    Kwon, O.M.2
  • 18
    • 55649117356 scopus 로고    scopus 로고
    • Improved delay-dependent globally asymptotic stability criteria for neural networks with a constant delay
    • H. Shao Improved delay-dependent globally asymptotic stability criteria for neural networks with a constant delay IEEE Trans. Circuits Syst. 55 2008 1071 1075
    • (2008) IEEE Trans. Circuits Syst. , vol.55 , pp. 1071-1075
    • Shao, H.1
  • 19
    • 27944440489 scopus 로고    scopus 로고
    • A new delay-dependent stability criterion for linear neutral systems with norm-bounded uncertainties in all system matrices
    • Q.L. Han A new delay-dependent stability criterion for linear neutral systems with norm-bounded uncertainties in all system matrices Int. J. Syst. Sci. 36 2005 469 475
    • (2005) Int. J. Syst. Sci. , vol.36 , pp. 469-475
    • Han, Q.L.1
  • 21
    • 0030108725 scopus 로고    scopus 로고
    • ∞ control of systems with parameter uncertainty
    • ∞ control of systems with parameter uncertainty Int. J. Contr. 63 1996 75 741
    • (1996) Int. J. Contr. , vol.63 , pp. 75-741
    • Xie, L.1
  • 22
    • 0032665002 scopus 로고    scopus 로고
    • A delay-dependent stability criterion for systems with uncertain time-invariant delays
    • P. Park A delay-dependent stability criterion for systems with uncertain time-invariant delays IEEE Trans. Automat. Contr. 44 1999 876 877
    • (1999) IEEE Trans. Automat. Contr. , vol.44 , pp. 876-877
    • Park, P.1
  • 23
    • 0035922479 scopus 로고    scopus 로고
    • Delay-dependent robust stabilization of uncertain state-delayed systems
    • Y.S. Moon, P. Park, W.H. Kwon, and Y.S. Lee Delay-dependent robust stabilization of uncertain state-delayed systems Int. J Contr. 74 2001 1447 1455
    • (2001) Int. J Contr. , vol.74 , pp. 1447-1455
    • Moon, Y.S.1    Park, P.2    Kwon, W.H.3    Lee, Y.S.4
  • 24
    • 20144369231 scopus 로고    scopus 로고
    • Delay-dependent stabilization of linear systems with time-varying state and input delays
    • X.M. Zhang, M. Wu, J.H. She, and Y. He Delay-dependent stabilization of linear systems with time-varying state and input delays Automatica 41 2005 1405 1412
    • (2005) Automatica , vol.41 , pp. 1405-1412
    • Zhang, X.M.1    Wu, M.2    She, J.H.3    He, Y.4
  • 25
    • 38149066040 scopus 로고    scopus 로고
    • Stability analysis for neural networks with time-varying interval delay
    • Y. He, G.P. Liu, D. Rees, and M. Wu Stability analysis for neural networks with time-varying interval delay IEEE Trans. Neural Netw. 18 2007 1850 1854
    • (2007) IEEE Trans. Neural Netw. , vol.18 , pp. 1850-1854
    • He, Y.1    Liu, G.P.2    Rees, D.3    Wu, M.4
  • 26
    • 33947713030 scopus 로고    scopus 로고
    • Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation
    • D. Peaucelle, D. Arzelier, D. Henrion, and F. Gouaisbaut Quadratic separation for feedback connection of an uncertain matrix and an implicit linear transformation Automatica 43 2007 795 804
    • (2007) Automatica , vol.43 , pp. 795-804
    • Peaucelle, D.1    Arzelier, D.2    Henrion, D.3    Gouaisbaut, F.4
  • 27
    • 73749088566 scopus 로고    scopus 로고
    • New asymptotic stability criteria for neural networks with time-varying delay
    • J. Tian, and X. Xie New asymptotic stability criteria for neural networks with time-varying delay Phys. Lett. A 374 2010 938 943
    • (2010) Phys. Lett. A , vol.374 , pp. 938-943
    • Tian, J.1    Xie, X.2
  • 28
    • 69649093490 scopus 로고    scopus 로고
    • New globally asymptotic stability criteria for delayed cellular neural networks
    • S.P. Xiao, and X.M. Zhang New globally asymptotic stability criteria for delayed cellular neural networks IEEE Trans. Circuits Syst. 56 2009 659 663
    • (2009) IEEE Trans. Circuits Syst. , vol.56 , pp. 659-663
    • Xiao, S.P.1    Zhang, X.M.2
  • 29
    • 50349093719 scopus 로고    scopus 로고
    • New results on global asymptotic stability analysis for neural networks with time-varying delays
    • T. Li, L. Guo, C. Lin, and C.Y. Sun New results on global asymptotic stability analysis for neural networks with time-varying delays Nonlinear Anal.: Real World Appl. 10 2009 554 562
    • (2009) Nonlinear Anal.: Real World Appl. , vol.10 , pp. 554-562
    • Li, T.1    Guo, L.2    Lin, C.3    Sun, C.Y.4
  • 30
    • 79959199278 scopus 로고    scopus 로고
    • Improved delay-dependent stability criterion for neural networks with time-varying delay
    • J.K. Tian, and S.M. Zhong Improved delay-dependent stability criterion for neural networks with time-varying delay Appl. Math. Comput. 217 2011 10278 10288
    • (2011) Appl. Math. Comput. , vol.217 , pp. 10278-10288
    • Tian, J.K.1    Zhong, S.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.