The Stability Cone for a Difference Matrix Equation with Two Delays

Joint Authors

Kipnis, M. M.
Malygina, V. V.
Ivanov, S. A.

Source

ISRN Applied Mathematics

Issue

Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-19, 19 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2011-06-21

Country of Publication

Egypt

No. of Pages

19

Main Subjects

Mathematics

Abstract EN

We provide geometric algorithms for checking the stability of matrix difference equations xn=Axn−m+Bxn−k with two delays m,k such that the matrix AB−BA is nilpotent.

We give examples of how our results can be applied to the study of the stability of neural networks.

American Psychological Association (APA)

Ivanov, S. A.& Kipnis, M. M.& Malygina, V. V.. 2011. The Stability Cone for a Difference Matrix Equation with Two Delays. ISRN Applied Mathematics،Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-507446

Modern Language Association (MLA)

Ivanov, S. A.…[et al.]. The Stability Cone for a Difference Matrix Equation with Two Delays. ISRN Applied Mathematics No. 2011 (2011), pp.1-19.
https://search.emarefa.net/detail/BIM-507446

American Medical Association (AMA)

Ivanov, S. A.& Kipnis, M. M.& Malygina, V. V.. The Stability Cone for a Difference Matrix Equation with Two Delays. ISRN Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-19.
https://search.emarefa.net/detail/BIM-507446

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-507446