Name
Title | ||
|---|---|---|
Some conditions for the proportional local assignability of the Lyapunov spectrum of discrete linear time-varying systems |
Abstract | ||
|---|---|---|
We investigate a problem of proportional local assignability of the Lyapunov spectrum for discrete time-varying linear systems. We propose the concept of non-multiple proportional local assignability and discuss the relations of this notion and splitness of the corresponding free system. We prove that, if a given open-loop system is uniformly completely controllable and the corresponding free system is split, then the Lyapunov spectrum of the closed-loop system has the property of non-multiple proportional local assignment. We demonstrate the role of dimensional effects by proving proportional local assignability of the Lyapunov spectrum for a uniformly completely controllable two-dimensional system assuming that the corresponding free system has the Lyapunov spectrum consisting of different numbers. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1016/j.automatica.2022.110458 | Automatica |
Keywords | DocType | Volume |
Pole assignment problem,Proportional local assignability,Lyapunov spectrum,Linear discrete time-varying systems,Uniform complete controllability | Journal | 144 |
Issue | ISSN | Citations |
1 | 0005-1098 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Adam Czornik | 1 | 126 | 27.06 |
| Evgenii Makarov | 2 | 0 | 0.34 |
| Michal Niezabitowski | 3 | 0 | 0.34 |
| Svetlana Popova | 4 | 0 | 0.34 |
| Vasilii Zaitsev | 5 | 0 | 0.34 |