An unbounded stabilization problem of bilinear systems

A. Boutoulout, R. El Ayadi and M. Ouzahra

Mathematics and Computers in Simulation (MATCOM), 2014, vol. 102, issue C, 39-50

Abstract: In this paper, we propose a family of feedback controls that guarantee the strong stabilization of unbounded parabolic bilinear systems, where the operator of control is supposed unbounded in the sense that it is bounded from the state space into some extension. An explicit decay estimate is established. An illustrating example is given.

Keywords: Unbounded bilinear system; Feedback control; Strongstabilization; Decay estimate; Admissibility (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:102:y:2014:i:c:p:39-50

DOI: 10.1016/j.matcom.2013.04.026

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