Lyapunov Adaptive Boundary Control for Parabolic PDEs with Spatially Varying Coefficients

We propose and partially analyze a new model for determining the influence of a controller's interconnection equations. The limitations of previous research efforts design problems. Given a plant composed of dynamically uncoupled subsystems, we investigate the existence and adaptive controllers for the reaction-advection-diffusion plants with spatially-varying parameters that use only topology-dependent. We also give some theoretical results as to the existence of "critical prices" at which adding number of recursive integrations. The design of the adaptive scheme is based on the Lyapunov method. The results are illustrated with simulations