Impulse null approximate controllability for heat equation with dynamic boundary conditions

Abstract

<p style='text-indent:20px;'>The main purpose of this article is to prove a logarithmic convexity estimate for the solution of a linear heat equation subject to dynamic boundary conditions in a bounded convex domain. As an application, we prove the impulsive null approximate controllability for an impulsive heat equation with dynamic boundary conditions.</p>

Error estimates of semidiscrete finite element approximation for minimal time impulse control problems

“…In many situations, impulse controls can perform better than continuous controls, and may be more simple to implement. Studies of impulse control issues are extensively covered in the literature [15,18,19,22,30,12,3,26]. In [18], Phung, Wang, and Xu provided a rapid stabilization feedback law of impulse output for heat equations.…”