Abstract
The stability of linear time-delay systems whose characteristic equations include three delays is investigated. Using geometrical relations in the polynomial plane, a graphical method is presented to visualize the stability domains in the three-dimensional space of time delays. Also, in this space, the surfaces on which the number of unstable poles of the system changes, are identified and an algorithm is presented to plot these surfaces. This work extends the results of previous works on the plane of two delays, to the three-dimensional case and initiates new studies in this direction.
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