The Stabilization of Singular Linear Large-Scale Control Systems with Input Feedbacks

Author

Ding Jin-lun ; Chen Chao-tian

Author_Institution

Comput. & Math. Sci. Fac., Guangdong Polytech. Normal Univ., Guangzhou, China

fYear

2009

fDate

26-28 Dec. 2009

Firstpage

3886

Lastpage

3889

Abstract

The stabilization problem of singular linear large-scale control systems with input feedbacks is investigated by using Riccati matrix equation, generalized Lyapunov function method, system decomposition method, singular systems theory and matrix theory. Some sufficient conditions for determining the asymptotical stability and unstability of the corresponding singular closed-loop large-scale systems are given. At last, an illustrate example is given to show the application of main result.

Keywords

Lyapunov methods; Riccati equations; asymptotic stability; closed loop systems; feedback; large-scale systems; Riccati matrix equation; asymptotical stability; generalized Lyapunov function method; input feedbacks; matrix theory; singular closed-loop large-scale systems; singular linear large-scale control systems; singular systems theory; stabilization; system decomposition method; Asymptotic stability; Chaos; Control system synthesis; Control systems; Large-scale systems; Linear feedback control systems; Lyapunov method; Mathematics; Matrix decomposition; Riccati equations;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Science and Engineering (ICISE), 2009 1st International Conference on

Conference_Location

Nanjing

Print_ISBN

978-1-4244-4909-5

Type

conf

DOI

10.1109/ICISE.2009.1286

Filename

5454981