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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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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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