Asymptotic stability of some distributed delay systems: an algebraic approach

Irinel-Constantin Morarescu (1) , Silviu-Iulian Niculescu (1) , Wim Michiels (2)

1 Heudiasyc - Heuristique et Diagnostic des Systèmes Complexes [Compiègne]
2 KU Leuven - Catholic University of Leuven = Katholieke Universiteit Leuven

This paper focuses on the stability of a class of linear systems including gamma-distributed delay with a gap. More precisely, a complete characterization of stability regions is given in the corresponding (delay, mean-delay) parameter-space. Optimal delay intervals are explicitly computed. The stabilizing/destabilizing delay effect will be explicitly outlined, and discussed. Several illustrative examples complete the paper.

Mots clés: delay; crossing roots; switch/reversal; optimal delay; Cushing equation

Domaines: Sciences de l'ingénieur [physics]

Irinel-Constantin Morarescu, Silviu-Iulian Niculescu, Wim Michiels. Asymptotic stability of some distributed delay systems: an algebraic approach. 13th IFAC Workshop on Control Application of Optimisation, Apr 2006, cachan, France. ⟨hal-02272259⟩