On the stabilization of linear discrete-time delay systems subject to input saturation

Karim Yakoubi (1) , Yacine Chitour (1)

1 L2S - Laboratoire des signaux et systèmes

This chapter deals with two problems on stabilization of linear discrete systems by static feedbacks which are bounded and time-delayed, namely global asymptotic stabilization and finite gain lp-stabilizability, p [1,∞]. Furthermore, an explicit construction of the corresponding feedback laws is given. The feedback laws constructed also result in a closedloop system that is globally asymptotically stable. © 2007 Springer.

Domaines: Mathématiques [math]

Karim Yakoubi, Yacine Chitour. On the stabilization of linear discrete-time delay systems subject to input saturation. Lecture notes in control and information sciences, 2007, 346, pp.421-455. ⟨10.1007/978-3-540-37010-9_15⟩. ⟨hal-02320806⟩