2013
DOI: 10.1016/j.amc.2012.12.022
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Simultaneous null controllability with constraint on the control

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Cited by 5 publications
(7 citation statements)
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References 14 publications
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“…In the sequel, simultaneous controllability engaged many authors like S. A. Avdonin and W. Moran in [6], M. Tucsnak and G. Weiss [7], who proved the simultaneous exact controllability of two systems, F. Ammar Khodja et al([8]) who worked on the null controllability of two parabolic semilinear equations, and M. González-Burgos and L. de Teresa who addressed the problem for a system of m (m 1) parabolic linear coupled equations (see [9]). Recently, the author examined in [10] the simultaneous null controllability with constrained control for a parabolic system of two linear coupled equations, and the present work extends the latter results. …”
Section: Introductionsupporting
confidence: 65%
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“…In the sequel, simultaneous controllability engaged many authors like S. A. Avdonin and W. Moran in [6], M. Tucsnak and G. Weiss [7], who proved the simultaneous exact controllability of two systems, F. Ammar Khodja et al([8]) who worked on the null controllability of two parabolic semilinear equations, and M. González-Burgos and L. de Teresa who addressed the problem for a system of m (m 1) parabolic linear coupled equations (see [9]). Recently, the author examined in [10] the simultaneous null controllability with constrained control for a parabolic system of two linear coupled equations, and the present work extends the latter results. …”
Section: Introductionsupporting
confidence: 65%
“…Under the above technical results due to Fursikov and Imanuvilov (see [11]), setting with r ∈ [0, 2), and let us denote by P the orthogonal projection from L 2 (G) into H. This crucial result has been proved in [10]: (2.10) and that …”
Section: Then the Function ϕ Is Null In Gmentioning
confidence: 97%
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“…[12] is concerned with the simultaneous null controllability with constraint on the control, for a system of coupled linear heat equations. In this paper, we show that the null controllability problem with constraint on the state holds for the reaction-diffusion system.…”
Section: Introductionmentioning
confidence: 99%