Abstract
This paper begins with a brief discussion on the root location of linear time-delay systems of neutral type, to show its peculiar properties compared with time-delay systems of retarded type. Then it introduces a numerical stability test that can be carried out using a rough integral evaluation. The upper limit of the testing integral is estimated in two ways: parameter dependent or parameter independent. As an application of the testing method, the paper shows how to calculate the rightmost characteristic root(s) of a neutral delay differential equation with multiple delays.
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