J. Syst. Sci. Complex. | 2021
Approximate Controllability for Degenerate Heat Equation with Bilinear Control
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.