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 Taylor or Laurent expansions in the perturbation parameter e 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
Aug 01, 1987
Accession Number
ADA459592

Entities

People

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

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • C4I

DTIC Thesaurus Topics

  • Algorithms
  • Coefficients
  • Computer Programs
  • Computer Science
  • Decomposition
  • Eigenvalues
  • Electrical Engineering
  • Engineering
  • Feedback
  • Gain
  • Heuristic Methods
  • High Gain
  • Invariance
  • Linear Systems
  • Sequences
  • Standards
  • Vector Spaces

Readers

  • Calculus or Mathematical Analysis
  • Control Systems Engineering.
  • Mathematical Modeling and Probability Theory.