Exponential stabilization on infinite dimensional system with impulse controls

نویسندگان

چکیده

This paper studies the exponential stabilization on infinite dimensional system with impulse controls, where instants appear periodically. The first main result shows that stabilizability of control a periodic feedback law is equivalent to one kind weak observability inequalities. second presents that, in setting discrete LQ problem, solvability an algebraic Riccati-type equation which was built up Qin et al. (2021) [18] for finite system. As application, some sufficient and necessary condition controlled governed by coupled heat equations given.

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ژورنال

عنوان ژورنال: Journal of Differential Equations

سال: 2022

ISSN: ['1090-2732', '0022-0396']

DOI: https://doi.org/10.1016/j.jde.2021.11.036