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.

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