Stability of interval positive continuous-time linear systems

T.KACZOREK

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Stability of interval positive continuous-time linear systems

机译：间隔正连续时间线性系统的稳定性

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摘要

It is shown that the convex linear combination of the Hurwitz polynomials of positive linear systems is also the Hurwitz polynomial.The Kharitonov theorem is extended to the positive interval linear systems.It is also shown that the interval positive linear system described by state equation x = Ax,A ∈R~(n×n)A1 ≤A≤A2 is asymptotically stable if and only if the matrices Ak= 1,2 are Hurwitz Metzler matrices.

机译：证明了正线性系统的Hurwitz多项式的凸线性组合也是Hurwitz多项式。将哈里托诺夫定理推广到正区间线性系统。还证明了由状态方程x=Ax描述的区间正线性系统∈R~（n×n）A1≤A.≤当且仅当矩阵Ak=1,2为Hurwitz-Metzler矩阵时，A2渐近稳定。

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《Bulletin of the Polish Academy of Sciences. Technical Sciences》 |2018年第1期|共5页
作者
T.KACZOREK;
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作者单位

Bialystok University of Technology Faculty of Electrical Engineering;

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原文格式 PDF
正文语种 eng
中图分类一般工业技术;年鉴、年刊;
关键词
interval; positive; linear; continuous-time; system; stability;

机译：间隔;正面;线性;连续时间;系统;稳定性;

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Stability of interval positive continuous-time linear systems

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