Title :
Stability of a controlled strings network with a circuit
Author :
Liu, Dongyi ; Xu, Genqi
Author_Institution :
Sch. of Sci., Tianjin Univ., Tianjin, China
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;
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
DOI :
10.1109/CCDC.2010.5498740
