Global rational stabilization of a class of nonlinear time-delay systems

Nadhem Echi (1) , Boulbaba Ghanmi (1)

1 Faculty of Sciences of Gafsa

The present paper is mainly aimed at introducing a novel notion of stability of nonlinear time-delay systems called Rational Stability. According to the Lyapunov-type, various sufficient conditions for rational stability are reached. Under delay dependent conditions, we suggest a nonlinear time-delay observer to estimate the system states, a state feedback controller and the observer-based controller rational stability is provided. Moreover, global rational stability using output feedback is given. Finally, the study presents simulation findings to show the feasibility of the suggested strategy.

Mots clés: Rational stability; delay system; nonlinear observer; Lyapunov functional

Domaines: Equations aux dérivées partielles [math.AP]

Nadhem Echi, Boulbaba Ghanmi. Global rational stabilization of a class of nonlinear time-delay systems. 2018. ⟨hal-01810145v2⟩