메뉴 건너뛰기




Volumn 22, Issue 9, 2011, Pages 1508-1513

Generalized halanay inequalities and their applications to neural networks with unbounded time-varying delays

Author keywords

Asymptotic stability; generalized Halanay inequality; recurrently connected neural network; unbounded time varying delay

Indexed keywords

DELAYED NEURAL NETWORKS; DISSIPATIVITY; FUNCTIONAL DIFFERENTIAL EQUATIONS; GLOBAL ASYMPTOTIC STABILITY; GLOBALLY ASYMPTOTICALLY STABLE; HALANAY INEQUALITY; INFINITE DELAY; INTEGRO-DIFFERENTIAL SYSTEM; INVARIANT SET; RECURRENTLY CONNECTED NEURAL NETWORK; TIME-VARYING DELAY; VOLTERRA;

EID: 80052413566     PISSN: 10459227     EISSN: None     Source Type: Journal    
DOI: 10.1109/TNN.2011.2160987     Document Type: Article
Times cited : (83)

References (15)
  • 2
    • 0006716535 scopus 로고    scopus 로고
    • Generalized Halanay inequalities for Volterra functional differential equations and discretized versions
    • Jun
    • C. Baker and A. Tang, "Generalized Halanay inequalities for Volterra functional differential equations and discretized versions", in Proc. Volterra Centennial Meet., pp. 39-55, Jun. 1996.
    • (1996) Proc. Volterra Centennial Meet. , pp. 39-55
    • Baker, C.1    Tang, A.2
  • 3
    • 46449134767 scopus 로고    scopus 로고
    • Generalized Halanay inequalities for dissipativity of Volterra functional differential equations
    • L. Wen, Y. Yu, and W. Wang, "Generalized Halanay inequalities for dissipativity of Volterra functional differential equations", J. Math. Anal. Appl., vol. 347, no. 1, pp. 169-178, 2008.
    • (2008) J. Math. Anal. Appl. , vol.347 , Issue.1 , pp. 169-178
    • Wen, L.1    Yu, Y.2    Wang, W.3
  • 4
    • 13844299092 scopus 로고    scopus 로고
    • Numerical and analytic dissipativity of the θ-method for delay differential equation with a bounded variable lag
    • May
    • H. Tian, "Numerical and analytic dissipativity of the θ-method for delay differential equation with a bounded variable lag", Int. J. Bifur. Chaos, vol. 14, no. 5, pp. 1839-1845, May, 2004.
    • (2004) Int. J. Bifur. Chaos , vol.14 , Issue.5 , pp. 1839-1845
    • Tian, H.1
  • 5
    • 0034849714 scopus 로고    scopus 로고
    • Global exponential stability of delayed Hopfield neural networks
    • Oct
    • T. Chen, "Global exponential stability of delayed Hopfield neural networks", Neural Netw., vol. 14, no. 8, pp. 977-980, Oct. 2001.
    • (2001) Neural Netw. , vol.14 , Issue.8 , pp. 977-980
    • Chen, T.1
  • 6
    • 13844281280 scopus 로고    scopus 로고
    • On periodic dynamical systems
    • Oct
    • W. Lu and T. Chen, "On periodic dynamical systems", Chin. Ann. Math. Ser. B, vol. 25B, no. 4, pp. 455-462, Oct. 2004.
    • (2004) Chin. Ann. Math. Ser. B , vol.25 B , Issue.4 , pp. 455-462
    • Lu, W.1    Chen, T.2
  • 7
    • 0035365656 scopus 로고    scopus 로고
    • Convergence analysis of cellular neural networks with unbounded delay
    • Jun
    • Z. Yi, P. Heng, and K. Leung, "Convergence analysis of cellular neural networks with unbounded delay", IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., vol. 48, no. 6, pp. 680-687, Jun. 2001.
    • (2001) IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. , vol.48 , Issue.6 , pp. 680-687
    • Yi, Z.1    Heng, P.2    Leung, K.3
  • 8
    • 1242308517 scopus 로고    scopus 로고
    • Absolute stability of a class of neural networks with unbounded delay
    • Jan.-Feb
    • J. Zhang, "Absolute stability of a class of neural networks with unbounded delay", Int. J. Circuit Theory Appl., vol. 32, no. 1, pp. 11-21, Jan.-Feb. 2004.
    • (2004) Int. J. Circuit Theory Appl. , vol.32 , Issue.1 , pp. 11-21
    • Zhang, J.1
  • 9
    • 0037216976 scopus 로고    scopus 로고
    • Global asymptotic stability of a general class of recurrent neural networks with time-varying delays
    • Jan
    • J. Cao and J. Wang, "Global asymptotic stability of a general class of recurrent neural networks with time-varying delays", IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., vol. 50, no. 1, pp. 34-44, Jan. 2003.
    • (2003) IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. , vol.50 , Issue.1 , pp. 34-44
    • Cao, J.1    Wang, J.2
  • 10
    • 34848827472 scopus 로고    scopus 로고
    • Stability of Cohen-grossberg neural networks with time-varying delays
    • Oct
    • T. Huang, A. Chan, Y. Huang, and J. Cao, "Stability of Cohen-Grossberg neural networks with time-varying delays", Neural Netw., vol. 20, no. 8, pp. 868-873, Oct. 2007.
    • (2007) Neural Netw. , vol.20 , Issue.8 , pp. 868-873
    • Huang, T.1    Chan, A.2    Huang, Y.3    Cao, J.4
  • 11
    • 15944420497 scopus 로고    scopus 로고
    • Global asymptotic stability and global exponential stability of neural networks with unbounded time-varying delays
    • Mar
    • Z. Zeng, J. Wang, and X. Liao, "Global asymptotic stability and global exponential stability of neural networks with unbounded time-varying delays", IEEE Trans. Circuits Syst. II, vol. 52, no. 3, pp. 168-173, Mar. 2005.
    • (2005) IEEE Trans. Circuits Syst. II , vol.52 , Issue.3 , pp. 168-173
    • Zeng, Z.1    Wang, J.2    Liao, X.3
  • 12
    • 34547901782 scopus 로고    scopus 로고
    • Power-rate global stability of dynamical systems with unbounded time-varying delays
    • Aug
    • T. Chen and L. Wang, "Power-rate global stability of dynamical systems with unbounded time-varying delays", IEEE Trans. Circuits Syst. II, vol. 54, no. 8, pp. 705-709, Aug. 2007.
    • (2007) IEEE Trans. Circuits Syst. II , vol.54 , Issue.8 , pp. 705-709
    • Chen, T.1    Wang, L.2
  • 13
    • 36348966026 scopus 로고    scopus 로고
    • Global μ-stability of delayed neural networks with unbounded time-varying delays
    • Nov
    • T. Chen and L. Wang, "Global μ-stability of delayed neural networks with unbounded time-varying delays", IEEE Trans. Neural Netw., vol. 18, no. 6, pp. 1836-1840, Nov. 2007.
    • (2007) IEEE Trans. Neural Netw. , vol.18 , Issue.6 , pp. 1836-1840
    • Chen, T.1    Wang, L.2
  • 14
    • 54349109049 scopus 로고    scopus 로고
    • Global μ-synchronization of linearly coupled unbounded time-varying delayed neural networks with unbounded delayed coupling
    • Oct
    • T. Chen, W. Wu, and W. Zhou, "Global μ-synchronization of linearly coupled unbounded time-varying delayed neural networks with unbounded delayed coupling", IEEE Trans. Neural Netw., vol. 19, no. 10, pp. 1809-1816, Oct. 2008.
    • (2008) IEEE Trans. Neural Netw. , vol.19 , Issue.10 , pp. 1809-1816
    • Chen, T.1    Wu, W.2    Zhou, W.3
  • 15
    • 66049128002 scopus 로고    scopus 로고
    • Almost sure exponential stability of recurrent neural networks with Markovian switching
    • May
    • Y. Shen and J. Wang, "Almost sure exponential stability of recurrent neural networks with Markovian switching", IEEE Trans. Neural Netw., vol. 20, no. 5, pp. 840-855, May 2009.
    • (2009) IEEE Trans. Neural Netw. , vol.20 , Issue.5 , pp. 840-855
    • Shen, Y.1    Wang, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.