#### Title

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

#### Document Type

Article

#### Publication Date

2006

#### Publication Title

Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis

#### ISSN

1918-2538

#### 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.

#### Recommended Citation

Wu, Yan, Laurene V. Fausett, Kanuri N. Murty.
2006.
"Fundamental Theory of Control of General First-order Matrix Difference Systems."
*Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis*, 13 (2): 301-308.
source: https://www.researchgate.net/publication/268657318_Fundamental_theory_of_control_of_general_first-order_matrix_difference_systems

https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/682