Open AccessOn homogeneous evolution equation in a Banach space
Author(s) -
A. Polyakov,
D. Efimov,
E. Fridman,
W. Perruquetti
Publication year - 2015
Publication title -
2015 european control conference (ecc)
Language(s) - English
Resource type - Conference proceedings
ISBN - 978-3-9524-2693-7
DOI - 10.1109/ecc.2015.7330908
Subject(s) - power, energy and industry applications , robotics and control systems , signal processing and analysis , transportation
A geometric homogeneity of evolution equation in a Banach space is introduced. 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 supported by examples from mathematical physics.
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