Stability and robustness analysis for switched systems with time-varying delays

Frédéric Mazenc (1, 2) , Michael Malisoff (3) , Hitay Ozbay (4)

1 DISCO - Dynamical Interconnected Systems in COmplex Environments
2 L2S - Laboratoire des signaux et systèmes
3 Department of Mathematics
4 Bilkent University [Ankara]

A new technique is presented for the stability and robustness analysis of nonlinear switched time-varying systems with uncertainties and time-varying delays. The delays are allowed to be discontinuous (but are required to be piecewise continuous) and arbitrarily long with known upper bounds. The technique uses an adaptation of Halanay's inequality and a trajectory based technique, and is used for designing switched controllers to stabilize linear time-varying systems with time-varying delays.

Mots clés: switched system; time delay; time-varying system; asymptotic stability

Domaines: Automatique

Frédéric Mazenc, Michael Malisoff, Hitay Ozbay. Stability and robustness analysis for switched systems with time-varying delays. SIAM Journal on Control and Optimization, 2018, 56 (1), pp.158-182. ⟨10.1137/16m1104895⟩. ⟨hal-01660106⟩