On Homogeneous Distributed Parameter Systems

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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Automatique

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HomEE_main.pdf (259.17 Ko)

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Andrey Polyakov : Connectez-vous pour contacter le contributeur

https://inria.hal.science/hal-01318134

Soumis le : jeudi 19 mai 2016-11:49:14

Dernière modification le : mercredi 24 janvier 2024-09:54:23

Dates et versions

hal-01318134 , version 1 (19-05-2016)

Identifiants

HAL Id : hal-01318134 , version 1
DOI : 10.1109/TAC.2016.2525925

Citer

Andrey Polyakov, Denis Efimov, Emilia Fridman, Wilfrid Perruquetti. On Homogeneous Distributed Parameter Systems. IEEE Transactions on Automatic Control, 2016, ⟨10.1109/TAC.2016.2525925⟩. ⟨hal-01318134⟩

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