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New Results on Stability of Slowly Switched Systems: A Multiple Discontinuous Lyapunov Function Approach

Authors :
Peng Shi
Yunfei Yin
Sing Kiong Nguang
Xudong Zhao
Source :
IEEE Transactions on Automatic Control. 62:3502-3509
Publication Year :
2017
Publisher :
Institute of Electrical and Electronics Engineers (IEEE), 2017.

Abstract

In this technical note, the problem of stability for a class of slowly switched systems is investigated. By developing a novel multiple discontinuous Lyapunov function approach and exploring the feature of mode-dependent dwell time switching, new stability conditions are established for systems with a designed switching strategy where fast switching and slow switching are respectively applied to unstable and stable subsystems. In particular, stability conditions for linear switched systems are also given via choosing multiple discontinuous Lyapunov functions in the quadratic form. Moreover, stability criteria for the systems consisting of stable subsystems are also derived. It is shown that our proposed results cover some existing ones in literature as special cases, and provide tighter bounds on the dwell time. Finally, some simulation results are provided to show the advantages of the theoretic results obtained.

Details

ISSN :
15582523 and 00189286
Volume :
62
Database :
OpenAIRE
Journal :
IEEE Transactions on Automatic Control
Accession number :
edsair.doi...........c3559fed47afd4b1cd910b949c70ff85
Full Text :
https://doi.org/10.1109/tac.2016.2614911