Linear systems subject to input saturation and time delay Finite-gain L-p-stabilization

Karim Yakoubi (1) , Yacine Chitour (1)

1 L2S - Laboratoire des signaux et systèmes

This paper deals with finite-gain stabilization of linear systems by static feedbacks which are bounded and time-delayed. For neutrally stable continuous-time linear systems, we provide a saturated linear feedback law ensuring finite-gain stability with respect to every L-p-norm, p is an element of [ 1,8], with an arbitrary small bound on the control and large (constant) delay. Moreover, we provide upper bounds for the corresponding L-p-gains which are delay-independent.

Mots clés: input saturation; time-delay systems; Lyapunov functions; finite-gain stability

Domaines: Mathématiques [math]

Karim Yakoubi, Yacine Chitour. Linear systems subject to input saturation and time delay Finite-gain L-p-stabilization. SIAM Journal on Control and Optimization, 2006, 45 (3), pp.1084-1115. ⟨10.1137/050626582⟩. ⟨hal-02320788⟩