New Delay-Dependent Robust Stability Criterion for Uncertain Stochastic Systems with Time-Varying Delays

Article Preview

Abstract:

The problem of delay-dependent robust stability of uncertain stochastic systems with time-varying delay is discussed in this paper. Based on the Lyapunov-Krasovskii theory and free-weighting matrix technique, new delay-dependent stability criterion is presented. The criterion is in terms of linear matrix inequality (LMI) which can be solved by various available algorithms.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

633-636

Citation:

Online since:

February 2012

Authors:

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2012 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] Chen, W. H.: Some New Results on the Asymptotic Stability of Uncertain Systems with Time-varying Delays. Internatinoal Journal of System Science 33, 917-921 (2002).

DOI: 10.1080/0020772021000017290

Google Scholar

[2] Park, J. H., Kwon, O.: Novel Stability Criterion of Time Delay Systems with Nonlinear Uncertainties. Applied Mathematics Letters 18, 683-688 (2005).

DOI: 10.1016/j.aml.2004.04.013

Google Scholar

[3] Wu, M., He, Y., She, J. H., Liu, G. P.: Delay-dependent Crieria for Robust Stability of Time-varying Delays Systems. Automatica 40, 1435-1439 (2004).

DOI: 10.1016/j.automatica.2004.03.004

Google Scholar

[4] Liu, X. W., Zhang, H. B.: New Stability Criterion of Uncertain Systems with Time-varying Delay. Chaos, Solitions and Fractals 26, 1343-1348 (2005).

DOI: 10.1016/j.chaos.2005.04.002

Google Scholar

[5] Xie, S., Xie, L.: Stabilization of a Class of Uncertain Large-scale Stochastic Systems with Time Delays. Automatica 36, 161-167 (2000).

DOI: 10.1016/s0005-1098(99)00147-8

Google Scholar

[6] Xu, S., Chen, T.: Robust H∞ Control for Uncertain Stochastic Systems with State Delay. IEEE Automatic Control 47, 2089-2094 (2002).

DOI: 10.1109/tac.2002.805670

Google Scholar