摘要
区间矩阵稳定性问题是控制理论中十分棘手又无法回避的问题。利用向量比较原理,讨论了连续区间系统的稳定性,得到了区间矩阵Hurwitz稳定的充分(充要)条件。如果由区间矩阵端点构造的检验矩阵A0+DHurwitz稳定,则区间矩阵Hurwitz稳定。
The problem of stability of interval matrix in control theory is difficult and unavoidable.In terms of vector comparison principle,Hurwitz stability of interval matrix was discussed on the target of continuous interval system.And a sufficient condition and a necessary and sufficient condition of Hurwitz stability of interval matrices were obtained,that is if the text matrix A_0+D is Hurwitz stability,which is structured by the vertex of interval matrix,then the interval matrix is Hurwith stability.
出处
《鞍山科技大学学报》
2005年第2期108-111,共4页
Journal of Anshan University of Science and Technology
