Robust Stability Check of Fractional Discrete-Time Linear Systems with Interval Uncertainties

被引：5
作者：
Buslowicz, Mikolaj [1 ]
Ruszewski, Andrzej [1 ]
机构：
[1] Bialystok Tech Univ, Fac Elect Engn, Wiejska 45D, PL-15351 Bialystok, Poland
来源：
ADVANCES IN MODELLING AND CONTROL OF NON-INTEGER ORDER SYSTEMS | 2015年 / 320卷
关键词：
Linear system; discrete-time; fractional-order; robust stability; interval matrix; STATE-SPACE SYSTEMS; PRACTICAL STABILITY; SUFFICIENT CONDITIONS; ASYMPTOTIC STABILITY; ORDER;
D O I：
10.1007/978-3-319-09900-2_18
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The 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 which elements are the convex combinations of the elements of specified bounded matrices and the fractional order a satisfies 0 < alpha < 1. Using the matrix measure the robust stability conditions are given. The considerations are illustrated by numerical examples.
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页码：199 / 208
页数：10
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