Comments on ‘Admissibility and static output‐feedback stabilization of singular Markovian jump systems with defective statistics of modes transitions’

Comments on ‘Admissibility and static output‐feedback stabilization of singular Markovian... This document shows that the proof of Theorem 3.3 in the work of Liu et al (Int J Robust Nonlinear Control. 2015. 10.1002/rnc.3108) is incorrect and, thus, the theorem is not proved. Since the results of the paper are strongly based on this theorem, the problem has to be addressed. If a natural correction is introduced, the problem still holds. Therefore, a new linear matrix inequality is proposed here to show its equivalence with the stochastic stability of a Markov jump linear singular system under a similar assumption as that in the work of Liu et al. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Robust and Nonlinear Control Wiley

Comments on ‘Admissibility and static output‐feedback stabilization of singular Markovian jump systems with defective statistics of modes transitions’

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Publisher
Wiley Subscription Services, Inc., A Wiley Company
Copyright
Copyright © 2018 John Wiley & Sons, Ltd.
ISSN
1049-8923
eISSN
1099-1239
D.O.I.
10.1002/rnc.4048
Publisher site
See Article on Publisher Site

Abstract

This document shows that the proof of Theorem 3.3 in the work of Liu et al (Int J Robust Nonlinear Control. 2015. 10.1002/rnc.3108) is incorrect and, thus, the theorem is not proved. Since the results of the paper are strongly based on this theorem, the problem has to be addressed. If a natural correction is introduced, the problem still holds. Therefore, a new linear matrix inequality is proposed here to show its equivalence with the stochastic stability of a Markov jump linear singular system under a similar assumption as that in the work of Liu et al.

Journal

International Journal of Robust and Nonlinear ControlWiley

Published: Jan 10, 2018

Keywords: ; ;

References

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