Dynamics of discrete-time linear systems with decaying disturbances

Author

Xingwen Liu

Author_Institution

Coll. of Electr. & Inf. Eng., Southwest Univ. for Nat. of China, Chengdu, China

fYear

2014

fDate

May 31 2014-June 2 2014

Firstpage

55

Lastpage

60

Abstract

Dynamical systems in the real world are always subject to various disturbances. This paper studies the dynamics of delayed discrete-time linear systems with decaying disturbances. It is first shown that if an unforced linear system is exponentially stable, then the disturbed system has a dynamical property like the exponential stability if the disturbance decays at an exponential rate, and has a dynamical property like the asymptotic stability if the disturbance asymptotically approaches to zero.

Keywords

asymptotic stability; discrete time systems; linear systems; asymptotic stability; decaying disturbances; delayed discrete-time linear systems; dynamical property; dynamical systems; exponential rate; exponential stability; unforced linear system; Asymptotic stability; Control theory; Discrete-time systems; Educational institutions; Linear systems; Power system dynamics; Stability; Delays; Disturbances; Exponential stability; Linear systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (2014 CCDC), The 26th Chinese

Conference_Location

Changsha

Print_ISBN

978-1-4799-3707-3

Type

conf

DOI

10.1109/CCDC.2014.6852117

Filename

6852117