Stability condition of linear time-invariant distributed-order dynamic systems

Author

Zhuang Jiao ; Yangquan Chen ; Yisheng Zhong

Author_Institution

Dept. of Autom., Tsinghua Univ., Beijing, China

fYear

2012

fDate

27-29 June 2012

Firstpage

5930

Lastpage

5935

Abstract

Bounded-input bounded-output stability condition of linear time invariant (LTI) distributed-order system over integral interval (0, 1) has been established for the first time. Two cases about weighting function of the distributed order are investigated, and sufficient and necessary conditions of stability for these two types of distributed-order systems are derived. Based on the complex integration analysis, timedomain responses of distributed-order systems are also given by analytical method, and numerical examples are presented to illustrate the proposed conditions.

Keywords

distributed control; input-output stability; linear systems; time-domain analysis; LTI distributed-order system; analytical method; bounded-input bounded-output stability condition; complex integration analysis; integral interval; linear time-invariant distributed-order dynamic systems; time domain response; weighting function; Differential equations; Equations; Fractional calculus; Laplace equations; Numerical stability; Stability analysis; Bounded-input bounded-output stability; distributed-order LTI system; time-domain response; weighting function;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference (ACC), 2012

Conference_Location

Montreal, QC

ISSN

0743-1619

Print_ISBN

978-1-4577-1095-7

Electronic_ISBN

0743-1619

Type

conf

DOI

10.1109/ACC.2012.6315481

Filename

6315481