Optimal switched law for the linear impulsive switched systems based on norm

Author

Wang, Pei-Guang ; Li, Dan-dan ; Zong, Xiao-ping

Author_Institution

Coll. of Electron. & Inf. Eng., Hebei Univ., Baoding, China

Volume

4

fYear

2009

fDate

12-15 July 2009

Firstpage

2138

Lastpage

2141

Abstract

Optimal switched law, which is for the linear impulsive switched system, is discussed in this paper. First, we show that if the constraint condition of the matrix pencil is satisfied, we could obtain the asymptotically stable range of the linear impulsive switched system. For a stable linear impulsive switched system, different switched laws determine different convergence process. Then the method of the optimal switched law based on norm is studied. Finally, a simulation example is given to illustrate the correctness of our conclusions presented.

Keywords

asymptotic stability; linear systems; matrix algebra; optimal control; time-varying systems; asymptotically stable; constraint condition; linear impulsive switched system; matrix pencil; optimal switched law; Asymptotic stability; Convergence; Cybernetics; Educational institutions; Machine learning; Production; Stability analysis; Switched systems; Switches; Time varying systems; Impulsive switched system; Norm; Optimal switched law;

fLanguage

English

Publisher

ieee

Conference_Titel

Machine Learning and Cybernetics, 2009 International Conference on

Conference_Location

Baoding

Print_ISBN

978-1-4244-3702-3

Electronic_ISBN

978-1-4244-3703-0

Type

conf

DOI

10.1109/ICMLC.2009.5212153

Filename

5212153