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Stability Analysis of the Linear Time Delay Systems with Linearly Increasing Delay

Aleksey Zhabko, Olga Chizhova, Uliana Zaranik
The linear differential-difference systems with constant coefficients and linearly increasing time delay are considered. A double stage approach is applied for stability analysis of these systems. As a main result the sufficient conditions of the asymptotic stability and instability are obtained. The results are illustrated by the example of multi-agent systems.
CYBERNETICS AND PHYSICS, Vol. 5, No. 2, 2016, 67-72.
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