Stability of Linear Constant System with Linear Impulse

Author

Hongliang, Geng ; Guangren, Duan

Author_Institution

Harbin Inst. of Technol., Harbin

fYear

2007

Firstpage

76

Lastpage

79

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/CHICC.2006.4347405

Filename

4347405