Linear Algebra for Control Theory

Recursive modeling of discrete-time time series.- Pole placement, internal stabilization, and interpolation conditions for rational matrix functions: A Grassmannian formulation.- Feedback stabilizibility over commutative rings.- Output feedback in descriptor systems.- On realization theory for generalized state-space systems over a commutative ring.- Problems and results in a geometric approach to the theory of systems over rings.- Completion of a matrix so that the inverse has minimum norm. Application to the regularization of descriptor control problems.- On the Rutishauser approach to eigenvalue problems.- The block form of linear systems over commutative rings with applications to control.- Diffeomorphisms between sets of linear systems.- Transfer function approach to disturbance decoupling problem.- Some numerical challenges in control theory.