$ {\cal L}_{2}$ Gain of Periodic Linear Switched Systems: Fast Switching Behavior

2009 ◽  
Vol 54 (7) ◽  
pp. 1632-1637 ◽  
Author(s):  
D.G. Roberson ◽  
D.J. Stilwell
2008 ◽  
Vol 47 (5) ◽  
pp. 2582-2597 ◽  
Author(s):  
M. Porfiri ◽  
D. G. Roberson ◽  
D. J. Stilwell

Author(s):  
Najah F. Jasim

This paper addresses sufficient conditions for asymptotic stability of classes of nonlinear switched systems with external disturbances and arbitrarily fast switching signals. It is shown that asymptotic stability of such systems can be guaranteed if each subsystem satisfies certain variants of observability or 0-distinguishability properties. In view of this result, further extensions of LaSalle stability theorem to nonlinear switched systems with arbitrary switching can be obtained based on these properties. Moreover, the main theorems of this paper provide useful tools for achieving asymptotic stability of dynamic systems undergoing Zeno switching.


2018 ◽  
Vol 18 (06) ◽  
pp. 1871007
Author(s):  
Jiqiang Wang

One of the important problems in time-controlled switched dynamical systems is to find a stabilizing time sequence if there is any. The problem is challenging for switched systems with all unstable modes. Two fundamental approaches are introduced, which are classified as the fast switching method and the method of converting state-controlled signals. Five schemes are delineated and validated in the numerical study based on the two approaches. The effects of switching frequency and duty ratio on the dynamical system performance are analyzed, from which important implications have been drawn for use in practical system design. The proposed methods shall also provide intuition into understanding the mechanism of how to maintain a dynamical system’s stability when all of its modes are unstable.


2002 ◽  
Vol 38 (5) ◽  
pp. 2520-2522 ◽  
Author(s):  
J. Fidler ◽  
T. Schrefl ◽  
V.D. Tsiantos ◽  
H. Forster ◽  
R. Dittrich ◽  
...  

1991 ◽  
Vol 40 (3) ◽  
pp. 333-340 ◽  
Author(s):  
Y. Ikenoue ◽  
H. Tomozawa ◽  
Y. Saida ◽  
M. Kira ◽  
H. Yashima

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