On Homogeneous Lyapunov Function Theorem for Evolution Equations

Andrey Polyakov (1)

1 VALSE - Finite-time control and estimation for distributed systems

The existence of homogeneous Lyapunov function for a stable homogeneous ordinary differential equation (ODE) is proven by V. Zubov in 1958 and refined by L. Rosier in 1992. The present paper proposes an extension of this result to evolution equations in Banach spaces.

Mots clés: stability of distributed parameter systems; semigroup and operator theory; homogeneous systems

Domaines: Automatique

Andrey Polyakov. On Homogeneous Lyapunov Function Theorem for Evolution Equations. IFAC 2020 - International Federation of Automatic Control, 21st World Congress, Jul 2020, Berlin / Virtual, Germany. ⟨hal-02495818⟩