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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.
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Submitted on : Monday, March 2, 2020 - 3:21:43 PM
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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⟩

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