DocumentCode
3161737
Title
Stability of switched systems: an optimal control approach
Author
Gitizadeh, Rabin ; Margaliot, Michael
fYear
2002
fDate
1 Dec. 2002
Firstpage
237
Lastpage
239
Abstract
The stability analysis of switched systems is difficult because such systems admit an infinite number of trajectories for any initial value. A natural approach is to characterize the "most unstable" trajectory and then analyze the stability of this single trajectory. In this paper, we use a variational approach to develop such a characterization. We derive the corresponding Hamilton-Jacobi-Beliman (HJB) equation and show that, quite remarkably, it can be solved explicitly for some particular switched systems including second-order homogeneous systems.
Keywords
linear systems; optimal control; stability; variational techniques; Hamilton-Jacobi-Beliman equation; most unstable trajectory; optimal control approach; second-order homogeneous systems; single trajectory stability analysis; stability analysis; switched systems; variational approach; Asymptotic stability; Control theory; Cost function; Defense industry; Electrical equipment industry; Integral equations; Lyapunov method; Optimal control; Stability analysis; Switched systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Electrical and Electronics Engineers in Israel, 2002. The 22nd Convention of
Print_ISBN
0-7803-7693-5
Type
conf
DOI
10.1109/EEEI.2002.1178423
Filename
1178423
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