×

Mean square robust stability of stochastic switched discrete-time systems with convex polytopic uncertainties. (English) Zbl 1277.93065

Summary: This article is concerned with mean square robust stability of stochastic switched discrete time-delay systems with convex polytopic uncertainties. The system to be considered is subject to interval time-varying delays, which allows the delay to be a fast time-varying function and the lower bound is not restricted to zero. Based on the discrete Lyapunov functional, a switching rule for the mean square robust stability for the stochastic switched system with convex polytopic uncertainties is designed via linear matrix inequalities. Numerical examples are included to illustrate the effectiveness of the results.

MSC:

93D09 Robust stability
93E03 Stochastic systems in control theory (general)
93C55 Discrete-time control/observation systems
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] doi:10.1016/j.amc.2007.05.053 · Zbl 1144.34050 · doi:10.1016/j.amc.2007.05.053
[2] doi:10.1016/j.nahs.2009.02.010 · Zbl 1192.34085 · doi:10.1016/j.nahs.2009.02.010
[3] doi:10.1016/j.automatica.2009.05.027 · Zbl 1179.93145 · doi:10.1016/j.automatica.2009.05.027
[4] doi:10.1016/j.nahs.2011.05.006 · Zbl 1227.93097 · doi:10.1016/j.nahs.2011.05.006
[5] doi:10.1007/s11071-011-9956-y · Zbl 1242.93072 · doi:10.1007/s11071-011-9956-y
[6] doi:10.1016/j.physleta.2009.09.055 · Zbl 1234.92023 · doi:10.1016/j.physleta.2009.09.055
[7] doi:10.1016/j.automatica.2009.09.012 · Zbl 1192.93030 · doi:10.1016/j.automatica.2009.09.012
[8] doi:10.1016/j.physleta.2008.08.008 · Zbl 1223.90013 · doi:10.1016/j.physleta.2008.08.008
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.