Inverse Optimal Control of Korteweg-de Vries-Burgers Equation

We consider inverse optimal adaptive control for Korteweg-de Vries Burgers (KdVB) equation. First, we prove that the boundary control design in Balogh and Krstic (2000) is inverse optimal for a meaningful functional. Next, we achieve an adaptive boundary control design for KdVB equation with an unknown dissipation coefficient. Moreover, we prove that it is also inverse optimal for a meaningful functional. Two examples are given to show the validity of the proposed design. Copyright (c) 2023 The Authors.