Robust Stability of Polytopic-Type Uncertain Singular Stochastic Systems with Time-Varying Delays

DOI

10.2991/amsee-16.2016.65How to use a DOI?

Keywords

singular systems; stochastic systems; polytopic-type uncertainties; delayed decomposition approach; linear matrix inequalities

Abstract

The problems of robust stability for a class of the polytopic-type uncertain singular stochastic systems with time-varying delays are studied. By using a delay decomposition approach and terms of linear matrix inequalities (LMIs), robust stability criteria ensuring globally stochastically asymptotic stability of the polytopic-type uncertain singular stochastic systems with time-varying delays are established. New globally stochastically asymptotic stable criteria for the certain stochastic systems with discrete and distributed delays are obtained in terms of linear matrix inequalities and Leibniz–Newton formula as well. Finally, the validity of the obtained results is shown by a numerical example.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

TY  - CONF
AU  - Yuanqiang Chen
PY  - 2016/04
DA  - 2016/04
TI  - Robust Stability of Polytopic-Type Uncertain Singular Stochastic Systems with Time-Varying Delays
BT  - Proceedings of the 2016 International Conference on Advanced Materials Science and Environmental Engineering
PB  - Atlantis Press
SP  - 244
EP  - 247
SN  - 2352-5401
UR  - https://doi.org/10.2991/amsee-16.2016.65
DO  - 10.2991/amsee-16.2016.65
ID  - Chen2016/04
ER  -