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Selected Works of Yan Wu
Article
Fundamental Theory of Control of General First-order Matrix Difference Systems
Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis
  • Yan Wu
  • Laurene V. Fausett, Texas A & M University - Commerce
  • Kanuri N. Murty, Sreenidhi Institute of Science and Technology
Link
Document Type
Article
Publication Date
1-1-2006
Disciplines
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.

Citation Information
Yan Wu, Laurene V. Fausett and Kanuri N. Murty. "Fundamental Theory of Control of General First-order Matrix Difference Systems" Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis Vol. 13 Iss. 2 (2006) p. 301 - 308 ISSN: 1918-2538
Available at: http://works.bepress.com/yan_wu/33/