On the absolute stability of delayed cellular neural networks

Author

Joy, Mark P.

Author_Institution

Sch. of Math., Kingston Polytech., UK

fYear

1998

fDate

14-17 Apr 1998

Firstpage

94

Lastpage

99

Abstract

This paper presents new (sufficient) conditions for the absolute stability of delayed cellular neural networks (CNNs) which improve on previously known ones. Importantly, we are able to give both necessary and sufficient conditions for the absolute stability of cooperative, delayed CNNs. We discuss these conditions with reference to the feedback and delay matrices, derive specific bounds for these parameters, and give some examples of these new results in comparison with known conditions

Keywords

absolute stability; cellular neural nets; cooperative systems; differential equations; feedback; matrix algebra; absolute stability; cooperative cellular neural networks; delayed cellular neural networks; differential equations; discrete time cellular neural networks; feedback matrix; necessary conditions; sufficient conditions; Cellular neural networks; Delay effects; Differential equations; Mathematics; Neural networks; Neurofeedback; Robust stability; Robustness; Sufficient conditions; Symmetric matrices;

fLanguage

English

Publisher

ieee

Conference_Titel

Cellular Neural Networks and Their Applications Proceedings, 1998 Fifth IEEE International Workshop on

Conference_Location

London

Print_ISBN

0-7803-4867-2

Type

conf

DOI

10.1109/CNNA.1998.685338

Filename

685338