Practical Stability and Asymptotic Stability of Interval Fractional Discrete-Time Linear State-Space System
Practical Stability and Asymptotic Stability of Interval Fractional Discrete-Time Linear State-Space System
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DOI：
10.1007/978-3-319-05353-0_22
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
A. Ruszewski
中科院分区：
文献类型：
--
作者：
A. Ruszewski
研究了分数阶离散线性不确定系统的鲁棒实用稳定性和鲁棒渐近稳定性问题。假设系统矩阵为区间矩阵，分数阶（满足0 <α< 1.利用区间矩阵的Gershgorin定理和矩阵测度给出了鲁棒稳定性条件。数值例子说明的考虑。
This paper presents the problems of robust practical stability and robust asymptotic stability of fractional-order discrete-time linear systems with uncertainty. It is supposed that the system matrix is the interval matrix and the fractional order ( satisfies 0 <α< 1. Using Gershgorin’s theorem for the interval matrices and the matrix measure the robust stability conditions are given. The considerations are illustrated by numerical examples.