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作 者:周彤[1]
机构地区:[1]清华大学自动化系,北京100084
出 处:《中国科学:数学》2016年第10期1603-1616,共14页Scientia Sinica:Mathematica
基 金:国家自然科学基金(批准号:61174122;51361135705和61573209);高等学校博士学科点专项科研基金(批准号:20110002110045)资助项目
摘 要:本文讨论子系统输入和状态受限于一个多面锥时网络化系统可控性的判断问题.基于网络化系统的状态空间描述,本文推导出网络化系统右可逆时,该系统可控的一个充分条件.该条件仅依赖于子系统连接矩阵和子系统参数,且其对子系统参数的依赖性是渐近相互独立的.本文还给出了独立地依赖于各个子系统参数的网络化系统右可逆的充分必要条件,以及只依赖于子系统出度和子系统参数的网络化系统良定的充分条件.本文结论的这些特点使其在大规模网络化系统的分析中具有优越性.Controllability is investigated in this paper for a networked system when its states and inputs are constrained to a solid closed polyhedral cone. Using a state space representation that explicitly expresses influences among subsystems, a sufficient condition is derived under the condition that its transfer function matrix is right invertible. This condition only depends on the subsystem connection matrix and subsystem parameters, and depends separately on each individual subsystem in an asymptotic way. A necessary and sufficient condition is also established for a networked system to be right invertible, which independently depends on the parameters of each individual system. Moreover, a sufficient condition is derived for the well-posedness of a networked system, which depends only on subsystem parameters and the out-degrees of its subsystems. These properties make the results of this paper competitive in the analysis and synthesis of a large scale networked dynamical system.
分 类 号:N945.1[自然科学总论—系统科学]
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