A more rigorous proof of complete stability of cellular neural networks

IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications

Volumn 44, Issue 4, 1997, Pages 370-371

  Wu, Chai Wah ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; FEEDBACK; INVARIANCE; MATRIX ALGEBRA; SYSTEM STABILITY; THEOREM PROVING; VECTORS;

STATE EQUATIONS; SYMMETRIC FEEDBACK TEMPLATES;

CELLULAR NEURAL NETWORKS;

EID: 0031117337     PISSN: 10577122     EISSN: None     Source Type: Journal    
DOI: 10.1109/81.563629     Document Type: Article

References (7)

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3. L. O. Chua and C. W. Wu, "On the universe of stable cellular neural networks," Int. J. Circuit Theory Applicat., vol. 20, no. 5, pp. 497-517, 1992.
4. T. Roska, C. W. Wu, M. Balsi, and L. O. Chua, "Stability and dynamics of delay-type general and cellular neural networks," IEEE Trans. Circuits Syst. I, vol. 39, pp. 487-490, June 1992.
5. M. Gilli, "Stability of cellular neural networks and delayed cellular neural networks with nonpositive templates and nonmonotonic output functions," IEEE Trans. Circuits Syst. I, vol. 41, pp. 518-528, Aug. 1994.
6. J. P. LaSalle, "An invariance principle in the theory of stability," in Differential Equations and Dynamical Systems, J. K. Hale and J. P. LaSalle, Eds. New York: Academic, 1967, pp. 277-286.
7. M. A. Cohen and S. Grossberg, "Absolute stability of global pattern formation and parallel memory storage by competitive neural networks," IEEE Trans. Syst., Man, Cybern., vol. SMC-13, pp. 815-826, 1983.