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On Homogeneous Distributed Parameter Systems

Andrey Polyakov 1, 2 Denis Efimov 1, 2 Emilia Fridman 3 Wilfrid Perruquetti 2, 1, 4
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
3 Department of Electrical Engineering
4 Ecole Centrale de Lille
Abstract : A geometric homogeneity is introduced for evolution equations in a Banach space. Scalability property of solutions of homogeneous evolution equations is proven. Some qualitative characteristics of stability of trivial solution are also provided. In particular, finite-time stability of homogeneous evolution equations is studied. Theoretical results are illustrated on important classes of partial differential equations.
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Submitted on : Thursday, May 19, 2016 - 11:49:14 AM
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Andrey Polyakov, Denis Efimov, Emilia Fridman, Wilfrid Perruquetti. On Homogeneous Distributed Parameter Systems. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2016, ⟨10.1109/TAC.2016.2525925⟩. ⟨hal-01318134⟩

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