Skip to Main content Skip to Navigation
New interface
Conference papers

On Homogeneous Lyapunov Function Theorem for Evolution Equations

Andrey Polyakov 1 
1 VALSE - Finite-time control and estimation for distributed systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
Abstract : 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.
Document type :
Conference papers
Complete list of metadata

Cited literature [37 references]  Display  Hide  Download
Contributor : Andrey Polyakov Connect in order to contact the contributor
Submitted on : Monday, March 2, 2020 - 3:21:43 PM
Last modification on : Tuesday, November 22, 2022 - 2:26:16 PM
Long-term archiving on: : Wednesday, June 3, 2020 - 2:45:48 PM


Files produced by the author(s)


  • HAL Id : hal-02495818, version 1



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⟩



Record views


Files downloads