On some model transformations for stability regions analysis of linear systems with multiple delays

Silviu-Iulian Niculescu (1)

1 Heudiasyc - Heuristique et Diagnostic des Systèmes Complexes [Compiègne]

This note focuses on the analysis of some stability regions of a class of linear delay-differential systems involving several delays. Sufficient conditions for characterizing bounded and unbounded stability regions in the delays parameter space are given in terms of matrix inequalities. The novelty of the proposed approach lies in the unitary analysis of delays-independent, delays-dependent or mixed delay-independent / delay-dependent stability by using a larger class of parametrized model transformations of the initial system.

Domaines: Sciences de l'ingénieur [physics]; Automatique / Robotique

Silviu-Iulian Niculescu. On some model transformations for stability regions analysis of linear systems with multiple delays. 14Th IFAC World Congress 1999, Jul 1999, Beijing, China. pp.2221-2226, ⟨10.1016/S1474-6670(17)56377-6⟩. ⟨hal-02304548⟩