On the Stability and Controllability of Degenerate Differential Systems in Hilbert Spaces
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Published:2023-04-10
Issue:
Volume:21
Page:35
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ISSN:2291-8639
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Container-title:International Journal of Analysis and Applications
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language:
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Short-container-title:Int. J. Anal. Appl.
Author:
Beghersa Norelhouda,Yazid Fares
Abstract
We apply the famous theorem of Lyapunov for some degenerate differential systems taken the form Ax’(t) + Bx(t) = Φ(t, x(t)), where t∈R+ and A, B are linear bounded operators in Hilbert spaces, Φ is a given function. The obtained results are used to study the stabilizability and controllability of certain implicit controlled systems.
Publisher
SCIK Publishing Corporation
Subject
Applied Mathematics,Geometry and Topology,Business and International Management,Analysis