Stability of a controlled strings network with a circuit

Author

Liu, Dongyi ; Xu, Genqi

Author_Institution

Sch. of Sci., Tianjin Univ., Tianjin, China

fYear

2010

fDate

26-28 May 2010

Firstpage

2683

Lastpage

2688

Abstract

A strings network with a circuit is considered under the assumptions that the network is connected and are fixed at the exterior nodes and that the controllers are placed on the inner nodes of the network. By the semigroup theory and the spectral analysis, it is shown that the system satisfies the Riesz basis property and the spectrum determined growth condition. Thus, by the spectral analysis in imaginary axis, some sufficient conditions are provided for the asymptotical stability of the network.

Keywords

asymptotic stability; control system analysis; group theory; network analysis; Riesz basis property; asymptotical stability; controlled strings network; exterior nodes; imaginary axis; semigroup theory; spectral analysis; strings network; Asymptotic stability; Automatic control; Automation; Circuit stability; Closed loop systems; Control systems; Power system modeling; Spectral analysis; Stability analysis; Sufficient conditions; Asymptotical stability; Closed loop system; Elastic strings network; Riesz basis; Spectral analysis; Spectrum determined growth condition;

fLanguage

English

Publisher

ieee

Conference_Titel

Control and Decision Conference (CCDC), 2010 Chinese

Conference_Location

Xuzhou

Print_ISBN

978-1-4244-5181-4

Electronic_ISBN

978-1-4244-5182-1

Type

conf

DOI

10.1109/CCDC.2010.5498740

Filename

5498740