메뉴 건너뛰기




Volumn 21, Issue 5, 2009, Pages 1434-1458

Analysis of complete stability for Discrete-Time cellular neural networks with piecewise linear output functions

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL; ARTICLE; ARTIFICIAL NEURAL NETWORK; AUTOMATED PATTERN RECOGNITION; BIOLOGICAL MODEL; COMPUTER SIMULATION; FEEDBACK SYSTEM; NERVE CELL; NERVE CELL NETWORK; NONLINEAR SYSTEM; PHYSIOLOGY; TIME;

EID: 70349242039     PISSN: 08997667     EISSN: 1530888X     Source Type: Journal    
DOI: 10.1162/neco.2008.04-08-744     Document Type: Letter
Times cited : (10)

References (47)
  • 3
    • 0031634623 scopus 로고    scopus 로고
    • Global asymptotic stability of discretetime cellular neural networks
    • Los Alamitos, CA: IEEE Computer Society Press
    • Arik, S., Kilinc, A., & Savaci, F. A. (1998). Global asymptotic stability of discretetime cellular neural networks. In Proc. IEEE Int. Workshop on Cellular Neural Networks and Their Appl. (pp. 52-55). Los Alamitos, CA: IEEE Computer Society Press.
    • (1998) Proc. IEEE Int. Workshop on Cellular Neural Networks and Their Appl , pp. 52-55
    • Arik, S.1    Kilinc, A.2    Savaci, F.A.3
  • 5
    • 2542525525 scopus 로고    scopus 로고
    • Design of the processing core of a mixed-signal CMOS DTCNN chip for pixel-level snakes
    • Brea, V.M., Vilarino, D. L., Paasio, A., & Cobello, D. (2004). Design of the processing core of a mixed-signal CMOS DTCNN chip for pixel-level snakes. IEEE Trans. Circuits Syst. I, 51, 997-1013.
    • (2004) IEEE Trans. Circuits Syst. I , vol.51 , pp. 997-1013
    • Brea, V.M.1    Vilarino, D.L.2    Paasio, A.3    Cobello, D.4
  • 6
    • 21144468745 scopus 로고
    • On discrete-time diagonal and D-stability
    • Bhaya, A., & Kaszkurewicz, E. (1993). On discrete-time diagonal and D-stability. Linear Algebra Appl., 187, 87-104.
    • (1993) Linear Algebra Appl. , vol.187 , pp. 87-104
    • Bhaya, A.1    Kaszkurewicz, E.2
  • 7
    • 0029343162 scopus 로고
    • Discrete-time cellular neural networks for associative memories with learning and forgetting capabilities
    • Brucoli, M., Carnimeo, L., & Grassi, G. (1995). Discrete-time cellular neural networks for associative memories with learning and forgetting capabilities. IEEE Trans. Circuits Syst. I, 42, 396-399.
    • (1995) IEEE Trans. Circuits Syst. I , vol.42 , pp. 396-399
    • Brucoli, M.1    Carnimeo, L.2    Grassi, G.3
  • 8
    • 0030196136 scopus 로고    scopus 로고
    • A global approach to the design of discrete-time cellular neural networks for associative memories
    • Brucoli, M., Carnimeo, L., & Grassi, G. (1996). A global approach to the design of discrete-time cellular neural networks for associative memories. Int. J. Circiut Theory Appl., 24, 489-510.
    • (1996) Int. J. Circiut Theory Appl. , vol.24 , pp. 489-510
    • Brucoli, M.1    Carnimeo, L.2    Grassi, G.3
  • 9
    • 0031166854 scopus 로고    scopus 로고
    • Chaos and asymptotical stability in discrete-time neural networks
    • Chen, L., & Aihara, K. (1997). Chaos and asymptotical stability in discrete-time neural networks. Physica D, 104, 286-325.
    • (1997) Physica D , vol.104 , pp. 286-325
    • Chen, L.1    Aihara, K.2
  • 10
    • 4944254330 scopus 로고    scopus 로고
    • Dynamics for discrete-time cellular neural networks
    • Chen, S., & Shih, C. (2004). Dynamics for discrete-time cellular neural networks. Int. J. Bifurcation and Chaos, 14, 2667-2687.
    • (2004) Int. J. Bifurcation and Chaos , vol.14 , pp. 2667-2687
    • Chen, S.1    Shih, C.2
  • 12
  • 13
    • 0027666910 scopus 로고
    • On the dynamic behaviour of two-cell cellular neural networks
    • Civalleri, P. P., & Gilli, M. (1993). On the dynamic behaviour of two-cell cellular neural networks. Int. J. Circuit Theory Appl., 21, 451-471.
    • (1993) Int. J. Circuit Theory Appl. , vol.21 , pp. 451-471
    • Civalleri, P.P.1    Gilli, M.2
  • 15
    • 0036599844 scopus 로고    scopus 로고
    • Complex dynamics in nearly symmetric three-cell cellular neural networks
    • Di Marco, M., Forti, M., & Tesi, A. (2002). Complex dynamics in nearly symmetric three-cell cellular neural networks. Int. J. Bifurcation and Chaos, 12, 1357-1362.
    • (2002) Int. J. Bifurcation and Chaos , vol.12 , pp. 1357-1362
    • Di Marco, M.1    Forti, M.2    Tesi, A.3
  • 16
    • 0039179631 scopus 로고    scopus 로고
    • Bifurcations and oscillatory behavior in a class of competitive cellular neural networks
    • Di Marco, M., Tesi, A., & Forti, M. (2000). Bifurcations and oscillatory behavior in a class of competitive cellular neural networks. Int. J. Bifurcation and Chaos, 10, 1267-1293.
    • (2000) Int. J. Bifurcation and Chaos , vol.10 , pp. 1267-1293
    • Di Marco, M.1    Tesi, A.2    Forti, M.3
  • 18
    • 0036738760 scopus 로고    scopus 로고
    • Some extensions of a new method to analyze complete stability of neural networks
    • Forti, M. (2002). Some extensions of a new method to analyze complete stability of neural networks. IEEE Trans. Neural Networks, 13, 1230-1238.
    • (2002) IEEE Trans. Neural Networks , vol.13 , pp. 1230-1238
    • Forti, M.1
  • 19
    • 0035616916 scopus 로고    scopus 로고
    • A new method to analyze complete stability of PWL cellular neural networks
    • Forti, M., & Tesi, A. (2001). A new method to analyze complete stability of PWL cellular neural networks. Int. J. Bifurcation and Chaos, 11, 655-676.
    • (2001) Int. J. Bifurcation and Chaos , vol.11 , pp. 655-676
    • Forti, M.1    Tesi, A.2
  • 20
    • 0028484639 scopus 로고
    • Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions
    • Gilli, M. (1994). Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions. IEEE Trans. Circuits Syst. I, 41, 518-528.
    • (1994) IEEE Trans. Circuits Syst. I , vol.41 , pp. 518-528
    • Gilli, M.1
  • 21
    • 0035078586 scopus 로고    scopus 로고
    • On discrete-time cellular neural networks for associative memories
    • Grassi, G. (2001).On discrete-time cellular neural networks for associative memories. IEEE Trans. Circuits Syst. I, 48, 107-111.
    • (2001) IEEE Trans. Circuits Syst. I , vol.48 , pp. 107-111
    • Grassi, G.1
  • 24
    • 38249012613 scopus 로고
    • Recent directions in matrix stability
    • Hershkowitz, D. (1992). Recent directions in matrix stability. Linear Algebra Appl., 171, 161-186.
    • (1992) Linear Algebra Appl. , vol.171 , pp. 161-186
    • Hershkowitz, D.1
  • 25
    • 0036688502 scopus 로고    scopus 로고
    • Global stability of a class of discrete-time recurrent neural networks
    • Hu, S., & Wang, J. (2002). Global stability of a class of discrete-time recurrent neural networks. IEEE Trans. Circuits Syst. I, 49, 1104-1117.
    • (2002) IEEE Trans. Circuits Syst. I , vol.49 , pp. 1104-1117
    • Hu, S.1    Wang, J.2
  • 26
    • 31344468612 scopus 로고    scopus 로고
    • Global robust stability of a class of discrete-time interval neural networks
    • Hu, S., & Wang, J. (2006). Global robust stability of a class of discrete-time interval neural networks. IEEE Trans. Circuits Syst. I, 53, 129-138.
    • (2006) IEEE Trans. Circuits Syst. I , vol.53 , pp. 129-138
    • Hu, S.1    Wang, J.2
  • 28
    • 0030193060 scopus 로고    scopus 로고
    • Globally asymptotical stability of discrete-time analog neural networks
    • Jin, L., & Gupla, M. (1996). Globally asymptotical stability of discrete-time analog neural networks. IEEE Trans. Neural Networks, 7, 1024-1031.
    • (1996) IEEE Trans. Neural Networks , vol.7 , pp. 1024-1031
    • Jin, L.1    Gupla, M.2
  • 29
    • 0141750629 scopus 로고    scopus 로고
    • Further results on the stability of delayed cellular neural networks
    • Li, X., Huang, L., & Wu, J. (2003). Further results on the stability of delayed cellular neural networks. IEEE Trans. Circuits Syst. I, 50, 1239-1242.
    • (2003) IEEE Trans. Circuits Syst. I , vol.50 , pp. 1239-1242
    • Li, X.1    Huang, L.2    Wu, J.3
  • 30
    • 33645012150 scopus 로고    scopus 로고
    • Invariance principle and complete stability for cellular neural networks
    • Li, X., Ma, C., & Huang, L. (2006). Invariance principle and complete stability for cellular neural networks. IEEE Trans. Circuits Syst. II, 53, 202-206.
    • (2006) IEEE Trans. Circuits Syst. II , vol.53 , pp. 202-206
    • Li, X.1    Ma, C.2    Huang, L.3
  • 32
    • 0033131573 scopus 로고    scopus 로고
    • Complete stability for standard cellular neural networks
    • Lin, S., & Shih, C. (1999). Complete stability for standard cellular neural networks. Int. J. Bifurcation and Chaos, 9, 909-918.
    • (1999) Int. J. Bifurcation and Chaos , vol.9 , pp. 909-918
    • Lin, S.1    Shih, C.2
  • 33
    • 34248662730 scopus 로고    scopus 로고
    • Stability analysis and the stabilization of a class of discrete-time dynamic neural networks
    • Patan, K. (2007). Stability analysis and the stabilization of a class of discrete-time dynamic neural networks. IEEE Trans. Neural Networks, 18, 660-673.
    • (2007) IEEE Trans. Neural Networks , vol.18 , pp. 660-673
    • Patan, K.1
  • 34
    • 0027584816 scopus 로고
    • On convergence of reciprocal discrete-time cellular neural networks
    • Perfetti, R. (1993). On convergence of reciprocal discrete-time cellular neural networks. IEEE Trans. Circuits Syst. I, 40, 286-287.
    • (1993) IEEE Trans. Circuits Syst. I , vol.40 , pp. 286-287
    • Perfetti, R.1
  • 35
    • 0031100417 scopus 로고    scopus 로고
    • Frequency domain stability criteria for cellular neural networks
    • Perfetti, R. (1997). Frequency domain stability criteria for cellular neural networks. Int. J. Circuit Theory Appl., 25, 55-68.
    • (1997) Int. J. Circuit Theory Appl. , vol.25 , pp. 55-68
    • Perfetti, R.1
  • 36
    • 0034205836 scopus 로고    scopus 로고
    • Stability of 1-D-CNNs with Dirichlet boundary conditions and global propagation dynamics
    • Sandre, G. D. (2000). Stability of 1-D-CNNs with Dirichlet boundary conditions and global propagation dynamics. IEEE Trans. Circuits Syst. I, 47, 785-792.
    • (2000) IEEE Trans. Circuits Syst. I , vol.47 , pp. 785-792
    • Sandre, G.D.1
  • 37
    • 0034204697 scopus 로고    scopus 로고
    • A new sufficient condition for complete stability of cellular neural networks with delay
    • Takahashi, N. (2000). A new sufficient condition for complete stability of cellular neural networks with delay. IEEE Trans. Circuits Syst. I, 47, 793-799.
    • (2000) IEEE Trans. Circuits Syst. I , vol.47 , pp. 793-799
    • Takahashi, N.1
  • 38
    • 0032118810 scopus 로고    scopus 로고
    • On the complete stability of nonsymmetric cellular neural networks
    • Takahashi, N., & Chua, L. O. (1998). On the complete stability of nonsymmetric cellular neural networks. IEEE Trans. Circuits Syst. I, 45, 754-758.
    • (1998) IEEE Trans. Circuits Syst. I , vol.45 , pp. 754-758
    • Takahashi, N.1    Chua, L.O.2
  • 39
    • 33748523045 scopus 로고    scopus 로고
    • Necessary and sufficient condition for a class of planar dynamical systems related to CNNs to be completely stable
    • Takahashi, N., & Nishi, T. (2006). Necessary and sufficient condition for a class of planar dynamical systems related to CNNs to be completely stable. IEEE Trans. Circuits Syst. II, 53, 727-733.
    • (2006) IEEE Trans. Circuits Syst. II , vol.53 , pp. 727-733
    • Takahashi, N.1    Nishi, T.2
  • 40
    • 0036280816 scopus 로고    scopus 로고
    • The template optimization of discretetime CNN for image compression and reconstruction
    • Takahashi, N., Otake T., & Tanaka,M. (2002). The template optimization of discretetime CNN for image compression and reconstruction. IEEE Int. Symposium Circuits and Syst., 1, 237-240.
    • (2002) IEEE Int. Symposium Circuits and Syst. , vol.1 , pp. 237-240
    • Takahashi, N.1    Otake, T.2    Tanaka, M.3
  • 41
    • 20144386412 scopus 로고    scopus 로고
    • Qualitative analysis for recurrent neural networks with linear threshold transfer functions
    • Tan, K., Tang, H., & Zhang, W. (2005). Qualitative analysis for recurrent neural networks with linear threshold transfer functions. IEEE Trans. Circuits Syst. I, 52, 1003-1012.
    • (2005) IEEE Trans. Circuits Syst. I , vol.52 , pp. 1003-1012
    • Tan, K.1    Tang, H.2    Zhang, W.3
  • 42
    • 33747143187 scopus 로고    scopus 로고
    • Sufficient and necessary conditions for global exponential stability of discrete-time recurrent neural networks
    • Wang, L., & Xu, Z. (2006). Sufficient and necessary conditions for global exponential stability of discrete-time recurrent neural networks. IEEE Trans. Circuits Syst. I, 53, 1373-1380.
    • (2006) IEEE Trans. Circuits Syst. I , vol.53 , pp. 1373-1380
    • Wang, L.1    Xu, Z.2
  • 43
    • 0031117337 scopus 로고    scopus 로고
    • A more rigorous proof of complete stability of cellular neural networks
    • Wu, C. W., & Chua, L. O. (1997). A more rigorous proof of complete stability of cellular neural networks. IEEE Trans. Circuits Syst. I, 44, 370-371.
    • (1997) IEEE Trans. Circuits Syst. I , vol.44 , pp. 370-371
    • Wu, C.W.1    Chua, L.O.2
  • 44
    • 2442432590 scopus 로고    scopus 로고
    • Multistability of discrete-time recurrent neural networks with unsaturating piecewise-linear activation functions
    • Yi, Z., & Tan, K. K. (2004). Multistability of discrete-time recurrent neural networks with unsaturating piecewise-linear activation functions. IEEE Trans. Neural Networks, 15, 329-336.
    • (2004) IEEE Trans. Neural Networks , vol.15 , pp. 329-336
    • Yi, Z.1    Tan, K.K.2
  • 45
    • 33645831985 scopus 로고    scopus 로고
    • Complete stability of cellular neural networks with time-varying delays
    • Zeng, Z., & Wang, J. (2006a). Complete stability of cellular neural networks with time-varying delays. IEEE Trans. Circuits Syst. I, 53, 944-955.
    • (2006) IEEE Trans. Circuits Syst. I , vol.53 , pp. 944-955
    • Zeng, Z.1    Wang, J.2
  • 46
    • 33750093023 scopus 로고    scopus 로고
    • Multiperiodicity of discrete-time delayed neural networks evoked by periodic external inputs
    • Zeng, Z., & Wang, J. (2006b). Multiperiodicity of discrete-time delayed neural networks evoked by periodic external inputs. IEEE Trans. Neural Networks, 17, 1141-1151.
    • (2006) IEEE Trans. Neural Networks , vol.17 , pp. 1141-1151
    • Zeng, Z.1    Wang, J.2
  • 47
    • 0036805881 scopus 로고    scopus 로고
    • Asymptotical stability in discrete-time neural networks
    • Zhao, W., Lin, W., & Ruan, J. (2002). Asymptotical stability in discrete-time neural networks. IEEE Trans. Circuits Syst. I, 49, 1516-1520.
    • (2002) IEEE Trans. Circuits Syst. I , vol.49 , pp. 1516-1520
    • Zhao, W.1    Lin, W.2    Ruan, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.