Title :
Stability of switched systems: an optimal control approach
Author :
Gitizadeh, Rabin ; Margaliot, Michael
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;
Conference_Titel :
Electrical and Electronics Engineers in Israel, 2002. The 22nd Convention of
Print_ISBN :
0-7803-7693-5
DOI :
10.1109/EEEI.2002.1178423
