Abstract: A practical and numerically efficient algorithm is presented for determining the stability robustness map of a general class of higher order linear time invariant (LTI) systems in the parametric space of arbitrary number of independent delays. The stability of this class of dynamics is of particular interest in low-gain design and multi-agent control problems. The backbone of the new algorithm is inspired by a scaled frequency sweeping technique which enables the exhaustive determination of stability switching hypersurfaces in the parametric space of delays, without requiring nested loops. Two case studies are presented in order to demonstrate the strength of the new algorithm.


Abstract of a paper presented at the 7th IFAC Workshop on Time Delay Systems (Nantes, France, 2007)


stability, delay differential equation, multiple delays

Subject Categories

Delivery of goods--Mathematical models


Systems Engineering

Publication Date


Rights Holder

Rifat Sipahi

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