Riccati equations for the Bolza problem arising in boundary/point control problems governed by C0 semigroups satisfying a singular estimate


We establish solvability of Riccati equations and optimal feedback synthesis in the context of Bolza control problem for a special class of control systems referred to in the literature as control systems with singular estimate. Boundary/point control problems governed by analytic semigroups constitute a very special subcategory of this class which was motivated by and encompasses many PDE control systems with both boundary and point controls that involve interactions of different types of dynamics (parabolic and hyperbolic) on an interface. We also discuss two examples from thermoelasticity and structure acoustics. © 2007 Springer Science+Business Media, LLC.

Publication Title

Journal of Optimization Theory and Applications