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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [43 references]  Display  Hide  Download

https://hal.inria.fr/hal-01318134
Contributor : Andrey Polyakov <>
Submitted on : Thursday, May 19, 2016 - 11:49:14 AM
Last modification on : Friday, March 22, 2019 - 1:35:59 AM

File

HomEE_main.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

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⟩

Share

Metrics

Record views

398

Files downloads

235