On Homogeneous Lyapunov Function Theorem for Evolution Equations

Authors :: Andrey Polyakov
Finite-time control and estimation for distributed systems (VALSE)
Inria Lille - Nord Europe
Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189 (CRIStAL)
Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)-Centrale Lille-Université de Lille-Centre National de la Recherche Scientifique (CNRS)
The author acknowledges the support of ANR DIGISLID project (ANR-18-CE40-0008), the Grant 08-08 of the Government of Russian Federation and the Ministry of Science and Higher Education of Russian Federation, passport of goszadanie no. 2019-0898.
ANR-18-CE40-0008,DIGITSLID,Différentiateurs et commandes homogènes par modes glissants multivalués en temps discret: l'approche implicite(2018)
Source :: IFAC 2020-International Federation of Automatic Control, 21st World Congress, IFAC 2020-International Federation of Automatic Control, 21st World Congress, Jul 2020, Berlin / Virtual, Germany
Publication Year :: 2020
Publisher :: HAL CCSD, 2020.
Abstract: International audience; 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.

Language :: English
Database :: OpenAIRE
Journal :: IFAC 2020-International Federation of Automatic Control, 21st World Congress, IFAC 2020-International Federation of Automatic Control, 21st World Congress, Jul 2020, Berlin / Virtual, Germany
Accession number :: edsair.doi.dedup.....f18d2ae289aa6ead825973ccd6ab4d4b

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