Accession Number : ADA192718

Title :   Asymptotic Orders of Reachability in Perturbed Linear Systems,

Corporate Author : MASSACHUSETTS INST OF TECH CAMBRIDGE LAB FOR INFORMATION AND DECISION SYSTEMS

Personal Author(s) : Oezveren, Cueneyt M ; Verghese, George C ; Willsky, Alan S

PDF Url : ADA192718

Report Date : 19 Apr 1988

Pagination or Media Count : 34

Abstract : 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.

Descriptors :   *ASYMPTOTIC SERIES, *LINEAR SYSTEMS, FEEDBACK, HIGH GAIN, INVARIANCE, PARAMETERS, PERTURBATIONS, TIME, TRAJECTORIES

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE