STATE-FEEDBACK AND ESTIMATION OF WELL-POSED SYSTEMS

The class of well-posed systems includes many systems modeled by parti al differential equations with boundary control and point sensing as w ell as many other systems with possibly unbounded control and observat ion. The closed-loop system created by applying state-feedback to any well-posed system is well-posed. A state-space realization of the clos ed loop is derived. A similar result holds for state estimation of a w ell-posed system. Also, the classical state-feedback/estimator structu re extends to well-posed systems. In the final section state-space rea lizations for a doubly coprime factorization for well-posed systems ar e derived.