Lyapunov-Krasovskii Functionals Parameterized with Polynomials

Alexandre Seuret (1)

1 NECS - Networked Controlled Systems

A novel method based on Lyapunov-Krasovskii functionals for the stability analysis of linear systems with constant is introduced. The Lyapunov-Krasovskii functionals are provided using polynomial parameters. Stability conditions are derived in the form of linear matrix inequalities. Examples show that these computationally tractable conditions can give tighter stability results than the ones in the literature.

Mots clés: Lyapunov-Krasovskii functionals; Linear matrix inequalities; Stability analysis; Time-delay systems

Domaines: Automatique / Robotique

Alexandre Seuret. Lyapunov-Krasovskii Functionals Parameterized with Polynomials. ROCOND 2009 - 6th IFAC Symposium on Robust Control Design, Jun 2009, Haifa, Israel. ⟨10.3182/20090616-3-IL-2002.00037⟩. ⟨hal-00386275⟩