A note on converse Lyapunov-Krasovskii theorems for nonlinear neutral systems in Sobolev spaces

Denis Efimov (1) , Emilia Fridman (2)

1 VALSE - Finite-time control and estimation for distributed systems
2 Department of Electrical Engineering

The problem of existence of a Lyapunov-Krasovskii functional (LKF) for nonlinear neutral type time-delay systems is revisited considering the uniform stability analysis and the LKF in a Sobolev space of absolutely continuous functions with bounded derivatives.

Mots clés: Neutral time-delay systems; Lyapunov-Krasovskii functional; Stabilty

Domaines: Automatique / Robotique

Denis Efimov, Emilia Fridman. A note on converse Lyapunov-Krasovskii theorems for nonlinear neutral systems in Sobolev spaces. Proc. IFAC Nolcos, Sep 2019, Vienna, Austria. ⟨hal-02418539⟩