Further constructions of control-Lyapunov functions and stabilizing feedbacks for systems satisfying the Jurdjevic-Quinn conditions

Frédéric F. Mazenc (1, 2) , Michael Malisoff (3)

1 ASB - Analyse des Systèmes et Biométrie
2 MERE - Water Resource Modeling
3 Department of mathematics

For a broad class of nonlinear systems, we construct smooth control-Lyapunov functions. We assume our systems satisfy appropriate generalizations of the Jurdjevic-Quinn conditions. We also design state feedbacks of arbitrarily small norm that render our systems integral-input-to-state stable to actuator errors.

Mots clés: CONTROL-LYAPUNOV FUNCTIONS; GLOBAL ASYMPTOTIC AND INTEGRAL-INPUT-TO-STATE STABILIZATION

Mots clés: STABILISATION

Domaines: Automatique

Frédéric F. Mazenc, Michael Malisoff. Further constructions of control-Lyapunov functions and stabilizing feedbacks for systems satisfying the Jurdjevic-Quinn conditions. IEEE Transactions on Automatic Control, 2006, 51 (2), pp.360-365. ⟨10.1109/TAC.2005.863500⟩. ⟨hal-02662310⟩