On controllability and near-controllability of discrete-time inhomogeneous bilinear systems without drift |
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| Authors: | Lin Tie |
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| Affiliation: | School of Automation Science and Electrical Engineering, Beihang University (Beijing University of Aeronautics and Astronautics), Beijing, China |
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| 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. |
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| Keywords: | Discrete-time bilinear systems Inhomogeneous systems Controllability Near-controllability Lebesgue measure Computable control inputs |
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