메뉴 건너뛰기




Volumn 73, Issue 3, 2013, Pages 1895-1903

Dissipativity of a class of cellular neural networks with proportional delays

Author keywords

Cellular neural networks; Dissipativity; Inner product; Matrix theory; Proportional delays

Indexed keywords

ACTIVATION FUNCTIONS; DELAY INDEPENDENT; DIFFERENTIABILITY; DISSIPATIVITY; INNER PRODUCT; MATRIX THEORY; MONOTONICITY; PROPORTIONAL DELAYS;

EID: 84880919189     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-013-0912-x     Document Type: Article
Times cited : (57)

References (30)
  • 1
    • 0035365656 scopus 로고    scopus 로고
    • Convergence analysis of cellular neural networks with unbounded delay
    • 0994.82068 10.1109/81.928151
    • Zhang, Y., Pheng, A.H., Kwong, S.L.: Convergence analysis of cellular neural networks with unbounded delay. IEEE Trans. Circuits Syst. I 48(6), 680-687 (2001)
    • (2001) IEEE Trans. Circuits Syst. i , vol.48 , Issue.6 , pp. 680-687
    • Zhang, Y.1    Pheng, A.H.2    Kwong, S.L.3
  • 2
    • 85035233192 scopus 로고    scopus 로고
    • Global dissipativity of continuous-time recurrent neural networks with time delay
    • 06118 2006883 10.1103/PhysRevE.68.016118
    • Liao, X., Wang, J.: Global dissipativity of continuous-time recurrent neural networks with time delay. Phys. Rev. E 68(1), 06118 (2003)
    • (2003) Phys. Rev. e , vol.68 , Issue.1
    • Liao, X.1    Wang, J.2
  • 3
    • 85112489906 scopus 로고    scopus 로고
    • Periodic oscillations and bifurcations in cellular neural networks
    • 2066082
    • Gilli, M., Corinto, F., Checco, P.: Periodic oscillations and bifurcations in cellular neural networks. IEEE Trans. Circuits Syst. I 51(4), 938-962 (2004)
    • (2004) IEEE Trans. Circuits Syst. i , vol.51 , Issue.4 , pp. 938-962
    • Gilli, M.1    Corinto, F.2    Checco, P.3
  • 4
    • 84880922672 scopus 로고    scopus 로고
    • Delay-depend exponential stability of cellular neural networks with time-varying delays
    • 2111863
    • Zhang, Q., Wei, X.P., Xu, J.: Delay-depend exponential stability of cellular neural networks with time-varying delays. Appl. Math. Comput. 195(2), 402-411 (2005)
    • (2005) Appl. Math. Comput. , vol.195 , Issue.2 , pp. 402-411
    • Zhang, Q.1    Wei, X.P.2    Xu, J.3
  • 5
    • 77949483941 scopus 로고    scopus 로고
    • Chaos control and synchronization of cellular neural network with delays based on OPNCL control
    • 030508 10.1088/0256-307X/27/3/030508
    • Tang, Q., Wang, X.: Chaos control and synchronization of cellular neural network with delays based on OPNCL control. Chin. Phys. Lett. 27(3), 030508 (2010)
    • (2010) Chin. Phys. Lett. , vol.27 , Issue.3
    • Tang, Q.1    Wang, X.2
  • 6
    • 84863447223 scopus 로고    scopus 로고
    • Chaos and hyperchaos in fractional-order cellular neural networks
    • 10.1016/j.neucom.2012.01.011
    • Huang, X., Zhao, Z., Wang, Z., Li, Y.: Chaos and hyperchaos in fractional-order cellular neural networks. Neurocomputing 94(10), 13-21 (2012)
    • (2012) Neurocomputing , vol.94 , Issue.10 , pp. 13-21
    • Huang, X.1    Zhao, Z.2    Wang, Z.3    Li, Y.4
  • 7
    • 2442499136 scopus 로고    scopus 로고
    • On the global dissipativity neural networks with time delays
    • 1161.37362 10.1016/j.physleta.2004.04.023
    • Arik, S.: On the global dissipativity neural networks with time delays. Phys. Lett. A 326(4), 126-132 (2004)
    • (2004) Phys. Lett. A , vol.326 , Issue.4 , pp. 126-132
    • Arik, S.1
  • 8
    • 33745124399 scopus 로고    scopus 로고
    • Global point dissipativity of neural networks with mixed time-varying delays
    • 013105 2220530 10.1063/1.2126940
    • Cao, J., Yuan, K., Ho, D.W.C., Lam, J.: Global point dissipativity of neural networks with mixed time-varying delays. Chaos 16(1), 013105 (2006)
    • (2006) Chaos , vol.16 , Issue.1
    • Cao, J.1    Yuan, K.2    Ho, D.W.C.3    Lam, J.4
  • 9
    • 34548154789 scopus 로고    scopus 로고
    • Dissipativity and periodic attractor for non-autonomous neural networks with time-varying delays
    • 10.1016/j.neucom.2006.10.104
    • Huang, Y., Xu, D., Yang, Z.: Dissipativity and periodic attractor for non-autonomous neural networks with time-varying delays. Neurocomputing 70(16-18), 2953-2958 (2007)
    • (2007) Neurocomputing , vol.70 , Issue.16-18 , pp. 2953-2958
    • Huang, Y.1    Xu, D.2    Yang, Z.3
  • 10
    • 47249100270 scopus 로고    scopus 로고
    • Dissipativity analysis of neural networks with time-varying delays
    • 2473277 10.1007/s11633-008-0290-x
    • Sun, Y., Cui, B.: Dissipativity analysis of neural networks with time-varying delays. Int. J. Autom. Comput. 5(3), 290-295 (2008)
    • (2008) Int. J. Autom. Comput. , vol.5 , Issue.3 , pp. 290-295
    • Sun, Y.1    Cui, B.2
  • 11
    • 58149346135 scopus 로고    scopus 로고
    • Global dissipativity analysis on uncertain neural networks with mixed time-varying delays
    • 043126 2478151 10.1063/1.3041151
    • Song, Q., Cao, J.: Global dissipativity analysis on uncertain neural networks with mixed time-varying delays. Chaos 18(4), 043126 (2008)
    • (2008) Chaos , vol.18 , Issue.4
    • Song, Q.1    Cao, J.2
  • 13
    • 79957975572 scopus 로고    scopus 로고
    • Stability and dissipativity analysis of distributed delay cellular neural networks
    • 2908910 10.1109/TNN.2011.2128341
    • Feng, Z., Lam, J.: Stability and dissipativity analysis of distributed delay cellular neural networks. IEEE Trans. Neural Netw. 22(6), 976-981 (2011)
    • (2011) IEEE Trans. Neural Netw. , vol.22 , Issue.6 , pp. 976-981
    • Feng, Z.1    Lam, J.2
  • 14
    • 78650727991 scopus 로고    scopus 로고
    • Stochastic dissipativity analysis on discrete-time neural networks with time-varying delays
    • 10.1016/j.neucom.2010.11.018
    • Song, Q.: Stochastic dissipativity analysis on discrete-time neural networks with time-varying delays. Neurocomputing 74(5), 838-845 (2011)
    • (2011) Neurocomputing , vol.74 , Issue.5 , pp. 838-845
    • Song, Q.1
  • 15
    • 84867896227 scopus 로고    scopus 로고
    • Dissipativity analysis of stochastic neural networks with time delays
    • 2991315 06188873 10.1007/s11071-012-0499-7
    • Wu, Z., Park, J.H., Su, H., Chu, J.: Dissipativity analysis of stochastic neural networks with time delays. Nonlinear Dyn. 70(1), 825-839 (2012)
    • (2012) Nonlinear Dyn. , vol.70 , Issue.1 , pp. 825-839
    • Wu, Z.1    Park, J.H.2    Su, H.3    Chu, J.4
  • 16
    • 84862904570 scopus 로고    scopus 로고
    • Stability and dissipativity analysis of static neural networks with time delay
    • 10.1109/TNNLS.2011.2178563
    • Wu, Z., Lam, J., Su, H., Chu, J.: Stability and dissipativity analysis of static neural networks with time delay. IEEE Trans. Neural Netw. Learn. Syst. 23(2), 199-210 (2012)
    • (2012) IEEE Trans. Neural Netw. Learn. Syst. , vol.23 , Issue.2 , pp. 199-210
    • Wu, Z.1    Lam, J.2    Su, H.3    Chu, J.4
  • 17
    • 80255134461 scopus 로고    scopus 로고
    • An LMI approach for global robust dissipativity analysis of T-S fuzzy neural networks with interval time-varying delays
    • 10.1016/j.eswa.2011.09.021
    • Muralisankar, S., Gopalakrishnan, N., Balasubramaniam, P.: An LMI approach for global robust dissipativity analysis of T-S fuzzy neural networks with interval time-varying delays. Expert Syst. Appl. 39(3), 3345-3355 (2012)
    • (2012) Expert Syst. Appl. , vol.39 , Issue.3 , pp. 3345-3355
    • Muralisankar, S.1    Gopalakrishnan, N.2    Balasubramaniam, P.3
  • 18
    • 84863986721 scopus 로고    scopus 로고
    • Robust dissipativity analysis of neural networks with time-varying delay and randomly occurring uncertainties
    • 2943388 1253.93040 10.1007/s11071-012-0350-1
    • Wu, Z., Park, J.H., Su, H., Chu, J.: Robust dissipativity analysis of neural networks with time-varying delay and randomly occurring uncertainties. Nonlinear Dyn. 69, 1323-1332 (2012)
    • (2012) Nonlinear Dyn. , vol.69 , pp. 1323-1332
    • Wu, Z.1    Park, J.H.2    Su, H.3    Chu, J.4
  • 19
    • 84880922372 scopus 로고    scopus 로고
    • On the global dissipativity of a class of cellular neural networks with multipantograph delays
    • 941426
    • Zhou, L.: On the global dissipativity of a class of cellular neural networks with multipantograph delays. Adv. Artif. Neural Syst. 2011, 941426 (2011)
    • (2011) Adv. Artif. Neural Syst. , vol.2011
    • Zhou, L.1
  • 20
    • 84865553035 scopus 로고    scopus 로고
    • Exponential stability of a class of cellular neural networks with multi-pantograph delays
    • (Chinese)
    • Zhang, Y., Zhou, L.: Exponential stability of a class of cellular neural networks with multi-pantograph delays. Acta Electron. Sin. 40(6), 1159-1163 (2012) (Chinese)
    • (2012) Acta Electron. Sin. , vol.40 , Issue.6 , pp. 1159-1163
    • Zhang, Y.1    Zhou, L.2
  • 21
    • 84890570427 scopus 로고    scopus 로고
    • Delay-dependent exponential stability of cellular neural networks with multi-proportional delays
    • 10.1007/s11063-012-9271-8
    • Zhou, L.: Delay-dependent exponential stability of cellular neural networks with multi-proportional delays. Neural Process. Lett. (2012). doi: 10.1007/s11063-012-9271-8
    • (2012) Neural Process. Lett.
    • Zhou, L.1
  • 22
    • 84966219417 scopus 로고
    • The functional-differential equation
    • 283338 0236.34064 10.1090/S0002-9904-1971-12805-7
    • Kato, T., Mcleod, J.B.: The functional-differential equation. Bull. Am. Math. Soc. 77(2), 891-937 (1971)
    • (1971) Bull. Am. Math. Soc. , vol.77 , Issue.2 , pp. 891-937
    • Kato, T.1    McLeod, J.B.2
  • 23
    • 0001424019 scopus 로고
    • On a functional differential equational
    • 301330 0251.34045 10.1093/imamat/8.3.271
    • Fox, L., Mayers, D.F.: On a functional differential equational. J. Inst. Math. Appl. 8(3), 271-307 (1971)
    • (1971) J. Inst. Math. Appl. , vol.8 , Issue.3 , pp. 271-307
    • Fox, L.1    Mayers, D.F.2
  • 24
    • 0039541346 scopus 로고
    • The asymptotic behavior of certain difference equation with proportional delays
    • 1284229 0808.39008 10.1016/0898-1221(94)00102-2
    • Iserles, A.: The asymptotic behavior of certain difference equation with proportional delays. Comput. Math. Appl. 28(1-3), 141-152 (1994)
    • (1994) Comput. Math. Appl. , vol.28 , Issue.1-3 , pp. 141-152
    • Iserles, A.1
  • 25
    • 0031081849 scopus 로고    scopus 로고
    • On neural functional-differential equation with proportional delays
    • 1433026 0873.34066 10.1006/jmaa.1997.5262
    • Iserles, A.: On neural functional-differential equation with proportional delays. J. Math. Anal. Appl. 207(1), 73-95 (1997)
    • (1997) J. Math. Anal. Appl. , vol.207 , Issue.1 , pp. 73-95
    • Iserles, A.1
  • 26
    • 0030523604 scopus 로고    scopus 로고
    • Asymptotic behavior of functional differential equations with proportional time delays
    • 0856.34078 10.1017/S0956792500002163
    • Liu, Y.K.: Asymptotic behavior of functional differential equations with proportional time delays. Eur. J. Appl. Math. 7(1), 11-30 (1996)
    • (1996) Eur. J. Appl. Math. , vol.7 , Issue.1 , pp. 11-30
    • Liu, Y.K.1
  • 27
    • 3242733258 scopus 로고    scopus 로고
    • Holomorphic solutions to pantograph type equations with neural fixed points
    • 2072032 1060.34058 10.1016/j.jmaa.2004.03.019
    • Van, B., Marshall, J.C., Wake, G.C.: Holomorphic solutions to pantograph type equations with neural fixed points. J. Math. Anal. Appl. 295(2), 557-569 (2004)
    • (2004) J. Math. Anal. Appl. , vol.295 , Issue.2 , pp. 557-569
    • Van, B.1    Marshall, J.C.2    Wake, G.C.3
  • 28
    • 34548641703 scopus 로고    scopus 로고
    • Feedback stabilization of linear systems with proportional delay
    • (Chinese)
    • Tan, M.C.: Feedback stabilization of linear systems with proportional delay. Inf. Control 35(6), 690-694 (2006) (Chinese)
    • (2006) Inf. Control , vol.35 , Issue.6 , pp. 690-694
    • Tan, M.C.1
  • 29
    • 33847392860 scopus 로고    scopus 로고
    • Exact and discretized dissipativity of the pantograph equation
    • 2292429 1142.65375
    • Gan, S.: Exact and discretized dissipativity of the pantograph equation. J. Comput. Math. 25(1), 81-88 (2007)
    • (2007) J. Comput. Math. , vol.25 , Issue.1 , pp. 81-88
    • Gan, S.1
  • 30
    • 42549139267 scopus 로고    scopus 로고
    • Global exponential stability analysis for cellular neural networks with variable coefficients and delays
    • 2455139 10.1007/s00521-007-0121-y
    • Kao, Y., Gao, C.: Global exponential stability analysis for cellular neural networks with variable coefficients and delays. Neural Comput. Appl. 17(3), 291-296 (2008)
    • (2008) Neural Comput. Appl. , vol.17 , Issue.3 , pp. 291-296
    • Kao, Y.1    Gao, C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.