The application of auxiliary simultaneous equations to the problem in the stabilization of singular and impulsive large scale systems

Author

Liu, Yong-Qing ; Guan, Zhi-Hong ; Wen, Xiang-Cai

Author_Institution

Dept. of Autom., South China Univ. of Technol., Guangzhou, China

Volume

42

Issue

1

fYear

1995

fDate

1/1/1995 12:00:00 AM

Firstpage

46

Lastpage

51

Abstract

The auxiliary simultaneous equations in the theory of large scale systems play an important role. This method is first applied to the problem in the stabilization of singular and impulsive large scale systems (SILSS) in this paper. The coefficient matrix expression of the auxiliary simultaneous equations that can be written out directly following the Lyapunov function of subsystems and the coefficient matrix of the original system with the operation of block matrix are given. Some explicit algebraic criteria of stabilization for the system are established. An example is given to illustrate the effectiveness of the method

Keywords

Lyapunov methods; equations; large-scale systems; matrix algebra; stability; Lyapunov function; algebraic criteria; auxiliary simultaneous equations; coefficient matrix; impulsive large scale systems; singular large scale systems; stabilization; Biological system modeling; Books; Control system synthesis; Equations; Large-scale systems; Lyapunov method; Network synthesis; Reduced order systems; Stability; State-space methods;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.350799

Filename

350799