This brief considers a class of delayed full-range (FR) cellular neural networks (CNNs) with uncertain interconnections between neurons modeled by means of intervalized matrices. Using mathematical tools from the theory of differential inclusions, a fundamental result on global robust stability of standard (S) CNNs is extended to prove global robust exponential stability for the corresponding class (same interconnection weights and inputs) of FR-CNNs. The result is of theoretical interest since, in general, the equivalence between the dynamical behavior of FR-CNNs and S-CNNs is not guaranteed.
DI MARCO, M., Grazzini, M., Pancioni, L. (2011). Global robust stability criteria for interval delayed full-range cellular neural networks. IEEE TRANSACTIONS ON NEURAL NETWORKS, 22(4), 666-671 [10.1109/TNN.2011.2110661].
Global robust stability criteria for interval delayed full-range cellular neural networks
DI MARCO, MAURO;GRAZZINI, MASSIMO;PANCIONI, LUCA
2011-01-01
Abstract
This brief considers a class of delayed full-range (FR) cellular neural networks (CNNs) with uncertain interconnections between neurons modeled by means of intervalized matrices. Using mathematical tools from the theory of differential inclusions, a fundamental result on global robust stability of standard (S) CNNs is extended to prove global robust exponential stability for the corresponding class (same interconnection weights and inputs) of FR-CNNs. The result is of theoretical interest since, in general, the equivalence between the dynamical behavior of FR-CNNs and S-CNNs is not guaranteed.File | Dimensione | Formato | |
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https://hdl.handle.net/11365/21335
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