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《第36届中国控制会议论文集(E)》2017年
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Necessary and Sufficient Conditions for the Controllability of Chain-shape Networks

Yuqing Hao  Zhisheng Duan  Fen Wu  
【摘要】:This paper focuses on the controllability of chain-shape networks,where the nodes are multi-input/multi-output(MIMO) linear time-invariant(LTI) systems with higher-dimensional states.The necessary and sufficient conditions for the controllability of undirected and directed chain networks are established,respectively.The conditions are easier to verify,which explicitly show the effects of the node-system dynamics,external control inputs and inner interactions on the controllability of the whole networked system.Moreover,some necessary conditions are further derived,which are more straightforward and intuitive.The effectiveness of the conditions is demonstrated through several examples.
【作者单位】:State Key Laboratory for Turbulence and Complex Systems,Department of Mechanics and Engineering Science,College of Engineering,Peking University Department of Mechanical and Aerospace Engineering,North Carolina State University
【基金】:supported by National Natural Science Foundation(NNSF)of China under Grants 61673026,11332001,61528301 the China Scholarship Council
【分类号】:O231
【正文快照】:
1 IntroductionControllability is fundamental in system analysis and syn?thesis[1].This issue has been extensively studied over morethan half a century with various criteria developed,such asthe PBH test[2],different kinds of rank conditions[3],sub?stanti

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