Abstract
In this paper, controllability and near-controllability of discrete-time inhomogeneous bilinear systems without drift are studied. Necessary and sufficient conditions for controllability and near-controllability of the systems are respectively presented. In particular, algorithms for computing the control inputs to achieve the transition of a given pair of states for the controllable systems and nearly controllable systems are also provided. Examples are shown to demonstrate the conceptions and results of the paper.
| Original language | English |
|---|---|
| Pages (from-to) | 1898-1908 |
| Number of pages | 11 |
| Journal | Automatica |
| Volume | 50 |
| Issue number | 7 |
| DOIs | |
| State | Published - Jul 2014 |
Keywords
- Computable control inputs
- Controllability
- Discrete-time bilinear systems
- Inhomogeneous systems
- Lebesgue measure
- Near-controllability
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