A Controllability Criterion for a Class of Linear Systems

Stubberud A. R.

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A Controllability Criterion for a Class of Linear Systems

机译：一类线性系统的可控性准则

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A linear system is completely controllable if for any initial state a control can be found to take the state of the system to the origin of the state space. Present criteria for testing linear systems for controllability require knowing the weighting function matrix of the linear system. In this paper a new criterion is presented which is applicable to a broad class of linear systems defined by linear n-dimensional ordinary vector-matrix differential equations; for this criterion only the coefficient matrices of the differential equation need to be known.

机译：如果对于任何初始状态都可以找到一个将系统的状态带到状态空间的起点的线性系统，则它是完全可控的。当前测试线性系统的可控性的标准要求知道线性系统的加权函数矩阵。本文提出了一种新的准则，该准则适用于由线性n维普通矢量矩阵微分方程定义的广泛线性系统。对于该标准，仅需要知道微分方程的系数矩阵。

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《Applications and Industry, IEEE Transactions on》 |1964年第75期|共3页
作者
Stubberud A. R.;
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University of California, Los Angeles, Calif.;

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A Controllability Criterion for a Class of Linear Systems

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