Stabilizability of fractional dynamical systems

被引：19

作者：

Balachandran, Krishnan ^{[1
]}

Govindaraj, Venkatesan ^{[1
]}

Rodriguez-Germa, Luis ^{[1
]}

Trujillo, Juan J. ^{[1
]}

机构：

[1] Bharathiar Univ, Dept Math, Coimbatore 641046, Tamil Nadu, India

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2014年 / 17卷 / 02期

关键词：

controllability; observability; stability; fractional differential equations; Mittag-Leffler matrix function; MIMO systems; RELATIVE-CONTROLLABILITY; STABILITY; DELAYS;

D O I：

10.2478/s13540-014-0183-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish that the controllability and observability properties of fractional dynamical systems in a finite dimensional space are dual. Using this duality result and the Mittag-Leffler matrix function, we propose the stabilizability of fractional MIMO (Multiple-input Multipleoutput) systems. Some numerical examples are provided to show the effectiveness of the obtained results.

引用

页码：511 / 531

页数：21

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