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New results on stability of switched continuous-time systems with all subsystems unstable
Xiang Mao1, Hui Zhu2, Wei Chen3
1School of Information and Communication Engineering, University of Electronic Science and Technology of China, Chengdu 611731, Sichuan, China.
Abstract:
This paper studies the stability problem of switched continuous-time systems with all subsystems unstable. Switchings can be classified into two categories depending on their dwell time, which are the switching without divergence time and the switching with divergence time. Based on this, stability conditions under the bounded maximum average dwell time (BMADT) switching are established. In addition, by jointly considering the dynamic characteristics of the subsystems before and after switching instants, we also give the stability result via the dwell time with the floating lower and upper bounds. Finally, some simulation results are given to illustrate the advantages of the obtained theoretical results.
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