On the design of optimum distributed parameter system with boundary control function

The problem of optimum control of a distributed parameter system with boundary control is studied. The distributed parameter system considered is described by the
N
-dimensional wave equation. The error measure is quadratic. The control function is unconstrained. The Riccati equation for optimum boundary control is derived. Methods for solving the Riccati equation and calculating optimum control are discussed. The resulting control is closed loop.