Further on the controllability of networked MIMO LTI systems |
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Authors: | Yuqing Hao Zhisheng Duan Guanrong Chen |
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Affiliation: | 1. Department of Dynamics and Control, Beihang University, Beijing, China;2. State Key Laboratory for Turbulence and Complex Systems, Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China;3. Department of Electronic Engineering, City University of Hong Kong, Hong Kong |
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Abstract: | Further on the controllability of networked multiple‐input–multiple‐output systems, an efficient, necessary, and sufficient condition is derived, where the network topology is directed and weighted and the nodes are higher‐dimensional linear time‐invariant systems. The new condition is easier to verify, which explicitly shows the effects of the network topology, node‐system dynamics, external control inputs, and inner interactions on the controllability of the whole networked system. For networked multiple‐input–multiple‐output systems in several specific topologies, the corresponding conditions are expressed more precisely. The effectiveness of the conditions is demonstrated through several examples. |
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Keywords: | controllability MIMO LTI system networked system observability |
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