An Algebraic Approach to Analysis and Control of Time-Scales.

Abstract

The structure of time-scales in systems of the form x = A(epsilon)x is related to the invariant factors of A(epsilon) when this matrix is over the ring of functions analytic at 0. This relationship motivates the study of invariant factor assignment in the matrix A(epsilon) + B(epsilon) K(epsilon) by choice of K(epsilon). Results on this problem have implications for assignment of timescales by state feedback in systems of the form x = A(epsilon)x + B(epsilon)u. Work in this direction is presented. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1983
Accession Number
ADA135115

Entities

People

  • A. S. Willsky
  • G. C. Verghese
  • Mathukumalli Vidyasagar
  • X. C. Lou

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Air Force
  • Buildings And Structures
  • Closed Loop Systems
  • Computations
  • Decomposition
  • Eigenvalues
  • Electrical Engineering
  • Engineering
  • Feedback
  • Information Science
  • Iterations
  • Scientific Research
  • Security
  • Stability Conditions
  • Universities

Fields of Study

  • Computer science

Readers

  • Computational Fluid Dynamics (CFD)
  • Linear Algebra