Controllability and Observability of Linear Time Varying Fractional Order Systems

机译：线性时变分数阶系统的可控性和可观测性

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摘要

Fractional order time varying dynamic systems are a kind of important and the less involved systems. In this paper, the state transition matrix of fractional order linear time varying systems is presented. The criteria of controllability and observability of fractional order linear time varying systems are obtained. The results extend the corresponding conclusions from linear varying integer order systems to fractional order linear time varying systems. The results of fractional order linear time invariant systems can be pointed out as a reduction of counterpart of fractional order linear time varying systems. Examples are given to verify the correctness of results presented.

机译：分数阶时变动态系统是一种重要且涉及较少的系统。本文提出了分数阶线性时变系统的状态转移矩阵。得到分数阶线性时变系统的可控性和可观测性标准。结果将相应的结论从线性可变整数阶系统扩展到分数阶线性时变系统。分数阶线性时不变系统的结果可以指出为分数阶线性时变系统的对应项的减少。举例说明了所提出结果的正确性。

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来源
《Proceedings of the Fifth symposium on fractional differentiation and its applications》|2012年|1-5|共5页
会议地点 Nanjing(CN)
作者
Xuefeng Zhang; YangQuan Chen;
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作者单位

Institute of System Science, Northeastern University, Shenyang,Liaoning, 110004, China;

Center for Self-Organizing and Intelligent Systems, Electrical and Computer Engineering Department, Utah State University, Logan, UT 84322-4120, USA;

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会议组织
原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Controllability; observability; linear time varying fractional order systems; state transition matrix; Caputo derivative; controllability Gramian matrix.;

机译：可控性;可观测性;线性时变分数阶系统;状态转移矩阵; Caputo导数;可控制性Gramian矩阵;

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Controllability and Observability of Linear Time Varying Fractional Order Systems

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