Abstract
This paper studies the controllability of a class of discrete-time homogeneous bilinear systems. Necessary and sufficient conditions for the controllability are obtained. In particular, an algorithm for computing the controls, which achieve given states transition, for the controllable systems is given with examples. Furthermore, the necessary and sufficient conditions are applied to present four cases of the change of the controllability for Euler discretization, which show that Euler discretization may and may not change the controllability of nonlinear systems.
| Original language | English |
|---|---|
| Pages (from-to) | 591-603 |
| Number of pages | 13 |
| Journal | International Journal of Robust and Nonlinear Control |
| Volume | 22 |
| Issue number | 6 |
| DOIs | |
| State | Published - Apr 2012 |
Keywords
- Euler discretization
- bilinear systems
- controllability
- discrete-time systems
- solvable controls
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