%0 Journal Article %T Homogeneous Lyapunov Functions for Homogeneous Infinite Dimensional Systems with Unbounded Nonlinear Operators %+ Finite-time control and estimation for distributed systems (VALSE) %A Polyakov, Andrey %< avec comité de lecture %@ 0167-6911 %J Systems and Control Letters %I Elsevier %8 2021-01-02 %D 2021 %R 10.1016/j.sysconle.2020.104854 %K stability of distributed parameter systems %K homogeneous systems %K semigroup and operator theory %Z Computer Science [cs]/Automatic Control EngineeringJournal articles %X The existence of a locally Lipschitz continuous homogeneous Lyapunov function is proven for a class of asymptotically stable homogeneous infinite dimensional systems with unbounded nonlinear operators. %G English %2 https://inria.hal.science/hal-02921426v3/document %2 https://inria.hal.science/hal-02921426v3/file/main_scl.pdf %L hal-02921426 %U https://inria.hal.science/hal-02921426 %~ CNRS %~ INRIA %~ INRIA-LILLE %~ INRIA_TEST %~ TESTALAIN1 %~ CRISTAL %~ INRIA2 %~ UNIV-LILLE %~ CRISTAL-VALSE %~ TEST-HALCNRS %~ INRIAARTDOI