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 | English |
|---|---|
| Pages (from-to) | 301-310 |
| Number of pages | 10 |
| Journal | Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis |
| Volume | 13 |
| Issue number | 2 |
| State | Published - Apr 2006 |
Scopus Subject Areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
Disciplines
- Education
- Mathematics
Keywords
- Controllability
- Fundamental matrix solutions
- Gramian matrix
- Observability
- Realizability