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Journal Articles IEEE Transactions on Automatic Control Year : 2016

On Homogeneous Distributed Parameter Systems

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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Dates and versions

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

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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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