Abstract
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.
Keywords
stability, delay differential equation, multiple delays
Subject Categories
Delivery of goods--Mathematical models
Disciplines
Systems Engineering
Publication Date
2007
Rights Holder
Rifat Sipahi
Permanent URL
Recommended Citation
Sipahi, Rifat, "An efficient numerical approach for the stability analysis of a class of LTI systems with arbitrary number of delays" (2007). . Paper 2. http://hdl.handle.net/2047/d10009413
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Notes
Abstract of a paper presented at the 7th IFAC Workshop on Time Delay Systems (Nantes, France, 2007)