Please use this identifier to cite or link to this item: https://doi.org/10.1109/TAC.2007.894515
Title: Switching stabilizability for continuous-time uncertain switched linear systems
Authors: Lin, H. 
Antsaklis, P.J.
Keywords: Set-induced Lyapunov functions
Stabilization
Switched systems
Uncertainty
Issue Date: Apr-2007
Source: Lin, H., Antsaklis, P.J. (2007-04). Switching stabilizability for continuous-time uncertain switched linear systems. IEEE Transactions on Automatic Control 52 (4) : 633-646. ScholarBank@NUS Repository. https://doi.org/10.1109/TAC.2007.894515
Abstract: This paper investigates the switching stabilizability problem for a class of continuous-time switched linear systems with time-variant parametric uncertainties. First, a necessary and sufficient condition for the asymptotic stabilizability of such uncertain switched linear system is derived, under the assumption that the closed-loop switched system does not generate sliding motions. Then, an additional condition is introduced to exclude the possibility of unstable sliding motions. Finally, a necessary and sufficient for the asymptotic stabilizability of such continuous-time uncertain switched linear systems is presented. This result improves upon conditions found in the literature which are either sufficient only or necessary only. © 2007 IEEE.
Source Title: IEEE Transactions on Automatic Control
URI: http://scholarbank.nus.edu.sg/handle/10635/57571
ISSN: 00189286
DOI: 10.1109/TAC.2007.894515
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