Name
Title | ||
|---|---|---|
Linear Positive Systems May Have a Reachable Subset from the Origin That is Either Polyhedral or Nonpolyhedral |
Abstract | ||
|---|---|---|
Positive systems with positive inputs and positive outputs are used in several branches of engineering, biochemistry, and economics. Both control theory and system theory require the concept of reachability of a time-invariant discrete-time linear positive system. The subset of the state set that is reachable from the origin is therefore of interest. The reachable subset is in general a cone in the positive vector space of the positive real numbers. It is established in this paper that the reachable subset can be either a polyhedral or a nonpolyhedral cone. For a single-input case, a characterization is provided of when the infinite-time and the finite-time reachable subsets are polyhedral. An example is provided for which the reachable subset is nonpolyhedral. Finally, for the case of polyhedral reachable subset(s), a method is provided to verify if a target set can be reached from the origin using positive inputs. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1137/19M1268161 | SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS |
Keywords | DocType | Volume |
linear positive systems,reachable subset,polyhedral cone,positive recursion | Journal | 41 |
Issue | ISSN | Citations |
1 | 0895-4798 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Yashar Zeinaly | 1 | 4 | 1.92 |
| Jan H. van Schuppen | 2 | 358 | 45.36 |
| Hans Hellendoorn | 3 | 1673 | 220.44 |