Input-to-state stability and integral input-to-state stability of non-autonomous infinite-dimensional systems

In this paper, we provide Lyapunov-based tools to establish input-to-state stability (ISS) and integral input-to-state stability (iISS) for non-autonomous infinite-dimensional systems. We prove that for a class of admissible inputs the existence of an ISS Lyapunov function implies the ISS of a syste...

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Bibliographic Details

Published in:	International journal of systems science Vol. 52; no. 10; pp. 2100 - 2113
Main Author:	Damak, H.
Format:	Journal Article
Language:	English
Published:	London Taylor & Francis 27.07.2021 Taylor & Francis Ltd
Subjects:	Banach spaces Dimensional stability Evolution operators Hilbert space input-to-state stability integral input-to-state-stability Integrals Liapunov functions Lyapunov methods non-autonomous infinite-dimensional systems Partial differential equations
ISSN:	0020-7721, 1464-5319
Online Access:	Get full text
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