Stability Analysis of Switched Systems with Time-Varying Discontinuous Delays

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

1 DISCO - Dynamical Interconnected Systems in COmplex Environments
2 Department of Mathematics
3 Bilkent University [Ankara]

A new technique is proposed to ensure global asymptotic stability for nonlinear switched time-varying systems with time-varying discontinuous delays. It uses an adaptation of Halanay's inequality to switched systems and a recent trajectory based technique. The result is applied to a family of linear time-varying systems with time-varying delays.

Mots clés: Switched systems; nonlinear; delays

Domaines: Automatique

Frédéric Mazenc, Michael Malisoff, Hitay Ozbay. Stability Analysis of Switched Systems with Time-Varying Discontinuous Delays. ACC 2017 - American Control Conference, May 2017, Seattle, United States. pp.1-5, ⟨10.23919/ACC.2017.7963758⟩. ⟨hal-01660128⟩