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SCIENCE CHINA Information Sciences, Volume 62, Issue 1: 012203(2019) https://doi.org/10.1007/s11432-017-9316-7

Performance analysis of switched linear systems under arbitrary switching via generalized coordinate transformations

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  • ReceivedAug 6, 2017
  • AcceptedNov 30, 2017
  • PublishedOct 19, 2018

Abstract

For a continuous-time switched linear system, the spectral abscissa is defined as the worst-case divergence rate under arbitrary switching, which is critical for characterizing the asymptotic performance of the switched system. In this study, based on the generalized coordinate transformations approach, we develop a computational scheme that iteratively produces sequences of minimums of matrix set $\mu_1$ measures, where the limits of the sequences are upper bound estimates of the spectral abscissa. A simulation example is presented to illustrate the effectiveness of the proposed scheme.


Acknowledgment

This study was supported by National Key Basic Research Program (973 Program) (Grant No. 2014CB845302), National Natural Science Foundation of China (Grant Nos. 91546203, 61273121), and Young and Middle-aged Foundation of Fujian Education Research (Grant No. JAT160294).


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