Linear systems subject to input saturation and time delay Finite-gain L-p-stabilization - Archive ouverte HAL
Article Dans Une Revue SIAM Journal on Control and Optimization Année : 2006

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

Karim Yakoubi
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Yacine Chitour

Résumé

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.
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Dates et versions

hal-02320788 , version 1 (19-10-2019)

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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⟩
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