Approximate Controllability for Degenerate Heat Equation with Bilinear Control

LI Lingfei · GAO Hang

Journal of Systems Science & Complexity ›› 2021, Vol. 34 ›› Issue (2) : 537-551.

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PDF(218 KB)
Journal of Systems Science & Complexity ›› 2021, Vol. 34 ›› Issue (2) : 537-551. DOI: 10.1007/s11424-020-9082-3

Approximate Controllability for Degenerate Heat Equation with Bilinear Control

  • LI Lingfei · GAO Hang
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Abstract

This paper investigates the nonnegative approximate controllability for the one-dimensional degenerate heat equation governed by bilinear control. Both non-controllability and approximate controllability are studied for the system. If the control is restricted to act on a fixed domain, it is not controllable. If the control is allowed to mobile, it is approximately controllable.

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LI Lingfei · GAO Hang. Approximate Controllability for Degenerate Heat Equation with Bilinear Control. Journal of Systems Science and Complexity, 2021, 34(2): 537-551 https://doi.org/10.1007/s11424-020-9082-3
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