Journal
INTERNATIONAL JOURNAL OF CONTROL
Volume 92, Issue 12, Pages 2784-2790Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207179.2018.1459858
Keywords
Infinite bilinear systems; feedback stabilisation; Banach space; duality mapping
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In this paper, we study the feedback stabilisation of homogeneous bilinear systems on a Banach state-space. Sufficient conditions for weak and strong stabilisation are given. A decay rate of the stabilised state is explicitly estimated. Applications to heat and transport equations are provided.
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