Name
Abstract | ||
|---|---|---|
This article considers a class of finite-dimensional linear impulsive time-varying systems for which various sufficient and necessary algebraic criteria for complete controllability, including matrix rank conditions are established. The obtained controllability results are further synthesised for the time-invariant case, and under some special conditions on the system parameters, we obtain a Popov-Belevitch-Hautus (PBH)-type rank condition which employs eigenvalues of the system matrix for the investigation of their controllability. Numerical examples are pro-vided that demonstrate for the linear impulsive systems, null controllability need not imply their complete controllability, unlike for the non-impulsive linear systems. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.14736/kyb-2020-4-0727 | KYBERNETIKA |
Keywords | DocType | Volume |
eigenvalues, impulses, controllability | Journal | 56 |
Issue | ISSN | Citations |
4 | 0023-5954 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vijayakumar S. Muni | 1 | 0 | 0.34 |
| R.K. George | 2 | 10 | 3.45 |