Title :
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
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;
Conference_Titel :
Information Science and Engineering (ICISE), 2009 1st International Conference on
Conference_Location :
Nanjing
Print_ISBN :
978-1-4244-4909-5
DOI :
10.1109/ICISE.2009.1286