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- W3118668018 abstract "This paper presents graph theoretic conditions for the controllability and accessibility of bilinear systems over the special orthogonal group and the general linear group, respectively, in the presence of drift terms. Such bilinear systems naturally induce two interaction graphs: one graph from the drift, and another from the controlled dynamics. As a result, the system controllability or accessibility becomes a property of the two graphs in view of the classical Lie algebra rank condition. We establish a systemic way of transforming the Lie bracket operations in the underlying Lie algebra, into specific operations of removing or creating links over the drift and controlled interaction graphs. As a result, we establish a series of graphical conditions for the controllability and accessibility of such bilinear systems, which rely only on the connectivity of the union of the drift and controlled interaction graphs. We present examples to illustrate the validity of the established results, and show that the proposed conditions are in fact considerably tight." @default.
- W3118668018 created "2021-01-18" @default.
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- W3118668018 date "2020-12-14" @default.
- W3118668018 modified "2023-09-23" @default.
- W3118668018 title "Controllability over Graphs for Bilinear Systems over Lie Groups" @default.
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- W3118668018 doi "https://doi.org/10.1109/cdc42340.2020.9304294" @default.
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