Title :
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
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;
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
DOI :
10.1109/ICMLC.2009.5212153
