Stabilization for Markovian Jump Systems with Additive Time-varying Delays

DOI

10.2991/ecae-17.2018.72How to use a DOI?

Keywords

markovian jump systems; additive time-varying delays; stochastically stabilization; linear matrix inequalities

Abstract

In this paper, the problem of stabilization for Markovian jump systems with additive time-varying delays is considered. First of all, by constructing a new Lyapunov functional with triple integral terms, using new inequalities, convex combination technique and combining with other analytical techniques, the stochastically stability and stabilization conditions of the Markovian jump systems in terms of linear matrix inequalities with lower conservatism are obtained. Then, the controller of the closed-loop system is designed by the transformation technique of inequalities. Finally, a numerical example is given to verify the effectiveness of the provided method and the superiority of the results.

Copyright

© 2018, 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/).

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TY  - CONF
AU  - Haiyang Zhang
AU  - Zhipeng Qiu
AU  - Lianglin Xiong
AU  - Yanmeng Wang
PY  - 2017/12
DA  - 2017/12
TI  - Stabilization for Markovian Jump Systems with Additive Time-varying Delays
BT  - Proceedings of the 2017 2nd International Conference on Electrical, Control and Automation Engineering (ECAE 2017)
PB  - Atlantis Press
SP  - 332
EP  - 338
SN  - 2352-5401
UR  - https://doi.org/10.2991/ecae-17.2018.72
DO  - 10.2991/ecae-17.2018.72
ID  - Zhang2017/12
ER  -