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

Sariyasa .

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


Keywords


Halanay inequality, exponential stability, compartmental system, delay.

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

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Journal of the Indonesian Mathematical Society
Mathematics Department, Universitas Gadjah Mada
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p-ISSN: 2086-8952 | e-ISSN: 2460-0245


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