Title :
Stability of Linear Constant System with Linear Impulse
Author :
Hongliang, Geng ; Guangren, Duan
Author_Institution :
Harbin Inst. of Technol., Harbin
Abstract :
The stability problem of linear constant system with linear impulse is considered in the paper. By using the motion equation and Lyapunov function method some important sufficient conditions are obtained. With some general limitations, a sufficient and necessary condition is established. Furthermore, the impulsive control matrix of the system could be obtained with the help of the linear matrix inequality (LMI). Finally, an impulsive control matrix design method based on MATLAB software is presented, and a numerical example is given to illustrate the efficiency of the main results in this paper.
Keywords :
Lyapunov matrix equations; control system synthesis; linear matrix inequalities; linear systems; mathematics computing; stability; Lyapunov function method; MATLAB software; impulsive control matrix design method; linear constant system stability; linear matrix inequality; motion equation; Control systems; Control theory; Design methodology; Equations; Linear matrix inequalities; Lyapunov method; MATLAB; Paper technology; Stability; Sufficient conditions; Impulsive System; LMI; Lyapunov; Stability;
Conference_Titel :
Control Conference, 2007. CCC 2007. Chinese
Conference_Location :
Hunan
Print_ISBN :
978-7-81124-055-9
Electronic_ISBN :
978-7-900719-22-5
DOI :
10.1109/CHICC.2006.4347405
