The Stability Cone for a Difference Matrix Equation with Two Delays-Reference-Cited by-同舟云学术

The Stability Cone for a Difference Matrix Equation with Two Delays

Published:2011-06-21 Issue: Volume:2011 Page:1-19
ISSN:2090-5564
Container-title:ISRN Applied Mathematics
language:en
Short-container-title:ISRN Applied Mathematics

Author:

Ivanov S. A.¹^ORCID,Kipnis M. M.²,Malygina V. V.³

Affiliation:

1. Department of Mathematical Analysis, Chelyabinsk State Pedagogical University, Chelyabinsk 454080, Russia

2. Applied Mathematics Department, South Ural State University, Chelyabinsk 454080, Russia

3. Faculty of Applied Mathematics and Mechanics, Perm State Technical University, Perm 614990, Russia

Abstract

We provide geometric algorithms for checking the stability of matrix difference equations with two delays such that the matrix is nilpotent. We give examples of how our results can be applied to the study of the stability of neural networks.

Publisher

Hindawi Limited

Subject

General Medicine

Link

http://downloads.hindawi.com/archive/2011/910936.pdf

Reference26 articles.

1. The Geometry of D-Decomposition of a Two-Dimensional Plane of Arbitrary Coefficients of the Characteristic Polynomial of a Discrete System

2. The Asymptotic Stability of

3. Stability of the Trinomial Linear Difference Equations with Two Delays

4. Bifurcation analysis for a two-dimensional delayed discrete-time Hopfield neural network

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