On controllability of homogeneous and inhomogeneous discrete-time multi-input bilinear systems in dimension two |
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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, P. R. China |
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| Abstract: | In this paper, the controllability problem of two-dimensional discrete-time multi-input bilinear systems is completely solved. The homogeneous and the inhomogeneous cases are studied separately and necessary and sufficient conditions for controllability are established by using a linear algebraic method, which are easy to apply. Moreover, for the uncontrollable systems, near-controllability is considered and similar necessary and sufficient conditions are also obtained. Finally, examples are provided to demonstrate the results of this paper. |
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| Keywords: | Discrete-time bilinear systems multi-input systems controllability near-controllability drift |
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