Download or read book Perturbed Linear Systems, Asymptotic Orders of Reachability in written by Cüneyt M. Özveren and published by . This book was released on 1987 with total page 37 pages. Available in PDF, EPUB and Kindle. Book excerpt: A framework for studying asymptotic orders of reachability in perturbed linear, time-invariant systems is developed. The systems of interest are defined by matrices that have asymptotic expansions in powers of a perturbation parameter about the point 0. The reachability structure is exposed via the Smith form of the reachability matrix. The approach is used to provide insight into the kinds of inputs needed to reach weakly reachable target states, into the structure of high-gain feedback for pole-placement, and into the types of inputs that steer trajectories arbitrarily close to almost (A, B)-invariant subspaces and almost (A, B)-controllability subspaces.