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 a about the point 0. The reachability structure is exposed via the Smith form of the reachability matrix. This 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
Jan 01, 1987
Accession Number
ADA455895

Entities

People

  • Alan S. Willsky
  • Cuneyt M. Ozveren
  • George C. Verghese

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Asymptotic Series
  • Closed Loop Systems
  • Coefficients
  • Computer Programs
  • Computer Science
  • Decomposition
  • Eigenvalues
  • Electrical Engineering
  • Engineering
  • Feedback
  • Gain
  • Heuristic Methods
  • High Gain
  • Linear Systems
  • Sequences
  • Standards

Readers

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