Title :
A study on global robust stability of delayed full-range cellular neural networks
Author :
Marco, M. Di ; Forti, M. ; Grazzini, M. ; Pancioni, L.
Author_Institution :
Dept. of Inf. Eng., Univ. of Siena, Siena
Abstract :
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.
Keywords :
cellular neural nets; stability; delayed full-range cellular neural networks; global robust stability; intervalized interconnection parameters; neuron interconnections; Cellular neural networks; Delay; Displays; Eigenvalues and eigenfunctions; Electronic mail; Limit-cycles; Linear matrix inequalities; Neurons; Robust stability; Symmetric matrices;
Conference_Titel :
Circuits and Systems, 2008. ISCAS 2008. IEEE International Symposium on
Conference_Location :
Seattle, WA
Print_ISBN :
978-1-4244-1683-7
Electronic_ISBN :
978-1-4244-1684-4
DOI :
10.1109/ISCAS.2008.4541681