摘要：A coupled system of an ordinary differential
equation (ODE) and a heat partial differential equation (PDE) with spatially
varying coefficients is discussed. By using the PDE backstepping method,
the state-feedback stabilizing controller is explicitly constructed with the
assumptions and , respectively. The closed-loop
system is proved to be exponentially stable by this controller. A simulation
example is presented to illustrate the effectiveness of the proposed method.
