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 language | American English |
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Journal | Dynamics of Continuous, Discrete and Impulsive Systems, Series A: Mathematical Analysis |
Volume | 13 |
State | Published - Jan 1 2006 |
Disciplines
- Education
- Mathematics
Keywords
- Difference Systems
- First-Order Matrix
- Theory of Control