Boundary Control of an Unstable Heat Equation
نویسندگان
چکیده
In this paper, a feedback boundary controller for an unstable heat equation is designed. The boundary control law is designed in the form of an integral operator with a known, continuous kernel function which can be interpreted as a back stepping control law. This interpretation provides a Lyapunov function for proving stability of the system. The control is applied by insulating one end of the rod and applying either Dirichlet or Neumann boundary actuation on the other.
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