Title :
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
fDate :
1/1/1995 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
