| Article ID: | iaor2001959 |
| Country: | Japan |
| Volume: | 44 |
| Issue: | 2 |
| Start Page Number: | 45 |
| End Page Number: | 50 |
| Publication Date: | Feb 2000 |
| Journal: | Systems, Control and Information |
| Authors: | Murota Kazuo |
| Keywords: | control |
Theory of valuated matroid is briefly described with emphasis on its significance in control theory. The concept of a valuated matroid arises as a combinatorial abstraction of a polynomial matrix with respect to the degree of its minors. The submodularity of the McMillan degree of a subsystem is derived as an application of a general result in valuated matroid theory.