A study on global robust stability of delayed full-range cellular neural networks

The paper considers a class of full-range (FR) cellular neural networks (CNNs) characterized by a finite constant delay in the neuron interconnections and intervalized interconnection parameters. A theorem is proved which ensures global robust stability (GRS), i.e., global stability of the equilibrium point for any FR-CNN whose parameters belong to given intervals. The theorem extends to FR-CNNs a result on GRS for standard (S) CNNs obtained in a recent paper by Shen and Zhang. The significance of the result in this paper is discussed in relation to the results in a paper by Corinto and Gilli, which addresses the equivalence of the dynamical behavior of FR-CNNs and S-CNNs, when they are defined by the same set of parameters.

[1]  Yong Zhang,et al.  Improved Global Robust Stability Criteria for Delayed Neural Networks , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[2]  Ricardo Carmona-Galán,et al.  A VLSI-oriented continuous-time CNN model , 1996, Int. J. Circuit Theory Appl..

[3]  Fernando Corinto,et al.  Comparison between the dynamic behaviour of Chua–Yang and full‐range cellular neural networks , 2003, Int. J. Circuit Theory Appl..

[4]  Ángel Rodríguez-Vázquez,et al.  ACE16k: the third generation of mixed-signal SIMD-CNN ACE chips toward VSoCs , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[5]  Vimal Singh,et al.  Global robust stability of delayed neural networks: an LMI approach , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

[6]  Ángel Rodríguez-Vázquez,et al.  ACE16k: A 128x128 Focal Plane Analog Processor with Digital I/O , 2003, Int. J. Neural Syst..

[7]  Mauro Forti,et al.  Dynamical Analysis of Full-Range Cellular Neural Networks by Exploiting Differential Variational Inequalities , 2007, IEEE Transactions on Circuits and Systems I: Regular Papers.

[8]  Ángel Rodríguez-Vázquez,et al.  ACE4k: An analog I/O 64×64 visual microprocessor chip with 7-bit analog accuracy , 2002, Int. J. Circuit Theory Appl..

[9]  Ángel Rodríguez-Vázquez,et al.  ACE4k: An analog I/O 64×64 visual microprocessor chip with 7-bit analog accuracy: Research Articles , 2002 .

[10]  Á. Rodríguez-Vázquez,et al.  Current-mode techniques for the implementation of continuous- and discrete-time cellular neural networks , 1993 .

[11]  Mauro Forti,et al.  On global exponential stability of standard and full-range CNNs , 2008 .

[12]  Jinde Cao,et al.  Global asymptotic and robust stability of recurrent neural networks with time delays , 2005, IEEE Trans. Circuits Syst. I Regul. Pap..

[13]  Lin-Bao Yang,et al.  Cellular neural networks: theory , 1988 .