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On Homogeneous Distributed Parameter Systems.
- Source :
- IEEE Transactions on Automatic Control; Nov2016, Vol. 61 Issue 11, p3657-3662, 6p
- Publication Year :
- 2016
-
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. [ABSTRACT FROM PUBLISHER]
Details
- Language :
- English
- ISSN :
- 00189286
- Volume :
- 61
- Issue :
- 11
- Database :
- Complementary Index
- Journal :
- IEEE Transactions on Automatic Control
- Publication Type :
- Periodical
- Accession number :
- 119139502
- Full Text :
- https://doi.org/10.1109/TAC.2016.2525925