Stability analysis of continuous-time linear systems consisting of n subsystems with different fractional orders

被引：55

作者：

Buslowicz, M. ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Elect Engn, PL-15351 Bialystok, Poland

来源：

BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES | 2012年 / 60卷 / 02期

关键词：

linear system; continuous-time; fractional; stability; Mikhailov criterion;

D O I：

10.2478/v10175-012-0037-2

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The stability problem of continuous-time linear systems described by the state equation consisting of n subsystems with different fractional orders of derivatives of the state variables has been considered. The methods for asymptotic stability checking have been given. The method proposed in the general case is based on the Argument Principle and it is similar to the modified Mikhailov stability criterion known from the stability theory of natural order systems. The considerations are illustrated by numerical examples.

引用

页码：279 / 284

页数：6