一类线性系统可控性的多项式判据

Polynomial criterion on controllability of a kind of linear systems

利用系统传递函数(矩阵)讨论了一类多输入线性定常系统和单输入线性定常系统完全可控的多项式判据,通过多项式组的互质性即可判断线性系统的可控性,避免了矩阵乘法运算和求秩运算,类似方法也完全可用于判断相应系统的完全可观性.

By use of the transform function （or transform function matrix）, the polynomial controllability of a kind of time-invariant linear systems is discussed. The controllability depends criterion on the on whether some polynomials are coprime. This method can avoid the matrix product and finding the rank of the controllability matrix. The observability of some suitable time-invariant linear systems can be inferred as the similar conclusions.