APPLICATION OF HALANAY INEQUALITY TO THE ESTABLISHMENT OF THE EXPONENTIAL STABILITY OF DELAYED COMPARTMENTAL SYSTEM

Sariyasa .

doi:10.22342/jims.13.2.67.191-196

Sariyasa . ⁽¹⁾

(1) Jurusan Pendidikan Matematika, Universitas Pendidikan Ganesha, Singaraja 81116, Indone- sia., Indonesia

https://doi.org/10.22342/jims.13.2.67.191-196

Issue
Volume 13 Number 2 (October 2007)

Submitted
May 23, 2012

Accepted
June 3, 2012

Published
June 3, 2012

Keywords:

Halanay inequality, exponential stability, compartmental system, delay.

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Abstract

The dynamical convergence of a compartmental system with transport delays is studied. An easily verifiable delay independent sufficient condition for the system to be globally exponentially stable is obtained. Halanay differential inequality is employed to establish the global exponential stability.

DOI : http://dx.doi.org/10.22342/jims.13.2.67.191-196

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Authors

Sariyasa .

Jurusan Pendidikan Matematika, Universitas Pendidikan Ganesha, Singaraja 81116, Indone- sia.

penulis@jims-a.org (Primary Contact)

., S. (2012). APPLICATION OF HALANAY INEQUALITY TO THE ESTABLISHMENT OF THE EXPONENTIAL STABILITY OF DELAYED COMPARTMENTAL SYSTEM. Journal of the Indonesian Mathematical Society, 13(2), 191–196. https://doi.org/10.22342/jims.13.2.67.191-196