Abstract
New necessary and sufficient conditions for local controllability and observability of a two-dimensional (2D) separable denominator system (SDS) are presented on the basis of the reduced-dimensional decomposition of a 2-D SDS. It is proved that local controllability of a 2-D SDS is equivalent to controllability of two 1-D systems which are a special decomposition pair of the 2-D SDS. Furthermore, local observability of a 2-D SDS is equivalent to a full rank condition of the coefficient matrices of the 2-D SDS in addition to observability of two 1-D systems which are another special decomposition pair of the 2-D SDS. Thus, these new conditions which use only 1-D controllability matrices, 1-D observability matrices, and coefficient matrices of the 2-D SDS are much simpler than any previous conditions which use complex 2-D controllability and observability matrices.
Original language | English |
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Pages (from-to) | 254-256 |
Number of pages | 3 |
Journal | IEEE Transactions on Automatic Control |
Volume | AC-32 |
Issue number | 3 |
Publication status | Published - 1987 Mar 1 |
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering