The existence of a common Lyapunov function for a class of linear switched descriptor systems was studied, where the system matrices were commute pairwise. We first presented work on two subsystems, a Lyapunov function was constructed and proved to be a common Lyapunov function of the system, and then we extended to the case of multisubsytems, using the similar method. Finally, a sufficient condition for the existence of a common Lyapunov function for the linear switched descriptor system was presented, this assured the system asymptotically stable under arbitrary switching strategy. © 2009 IEEE.
CITATION STYLE
Ze-Quan, G., He-Ping, L., & Fu-Cheng, L. (2009). A common lyapunov function for a class of switched descriptor systems. In Proceedings - 2009 International Asia Conference on Informatics in Control, Automation, and Robotics, CAR 2009 (pp. 29–31). https://doi.org/10.1109/CAR.2009.13
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