Fundamental Theory of Control of General First-order Matrix Difference Systems

Yan Wu, Laurene V. Fausett, Kanuri N. Murty

Research output: Contribution to journalArticlepeer-review

Abstract

This paper presents the general solution of the first-order matrix difference/discrete system T(n + 1) = A(n)T(n)B(n) + D(n)U(n) R(n) = C(n)T(n) in terms of two fundamental matrix solutions of T(n + 1) = A(n)T(n) and T(n + 1) = B*(n)T(n). Then questions are addressed related to controllability, observability, and realizability. Further, more general criteria are presented for complete controllability and complete observability of time-invariant systems.

Original languageAmerican English
JournalDynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis
Volume13
StatePublished - Jan 1 2006

Disciplines

  • Education
  • Mathematics

Keywords

  • Difference Systems
  • First-Order Matrix
  • Theory of Control

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