Asymptotic Orders of Reachability in Perturbed Linear Systems,

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.

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Document Details

Document Type
Technical Report
Publication Date
Apr 19, 1988
Accession Number
ADA192718

Entities

People

  • Alan S. Willsky
  • Cueneyt M. Oezveren
  • George C. Verghese

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Asymptotic Series
  • Automatic
  • Coefficients
  • Computer Programs
  • Control Systems
  • Eigenvalues
  • Equations
  • Feedback
  • Heuristic Methods
  • High Gain
  • Linear Systems
  • Literature
  • Mathematics
  • Perturbations
  • Sequences
  • Trajectories

Readers

  • Control Systems Engineering.
  • Mathematical Modeling and Probability Theory.