Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling

Robust Stabilization for Markovian Jump Delta Operator Systems with Time-Varying Delays

Authors
Yinyin Chen, Minqing Xiao
Corresponding Author
Yinyin Chen
Available Online May 2016.
DOI
https://doi.org/10.2991/amsm-16.2016.86How to use a DOI?
Keywords
robust stochastic stabilization, Markovian jump system, delta operator system, time-varying delays
Abstract

The robust stabilization problem is investigated for a class of delta operator formulated Markovian jump systems with time-varying delays. The aim is to design a state feedback controller which can make the closed-loop system stochastic asymptotically stable in delta domain. A sufficient condition of the existence of such controllers is obtained by the linear matrix inequality approach and a design procedure of such controllers is presented. Furthermore, the proposed method can unify some previous related continuous and discrete systems into the framework on operator systems. A numerical example is provided to demonstrate availability and efficiency of the design method.

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/).

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Volume Title
Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
Series
Advances in Computer Science Research
Publication Date
May 2016
ISBN
978-94-6252-198-8
ISSN
2352-538X
DOI
https://doi.org/10.2991/amsm-16.2016.86How to use a DOI?
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/).

Cite this article

TY  - CONF
AU  - Yinyin Chen
AU  - Minqing Xiao
PY  - 2016/05
DA  - 2016/05
TI  - Robust Stabilization for Markovian Jump Delta Operator Systems with Time-Varying Delays
BT  - Proceedings of the 2016 International Conference on Applied Mathematics, Simulation and Modelling
PB  - Atlantis Press
SP  - 382
EP  - 386
SN  - 2352-538X
UR  - https://doi.org/10.2991/amsm-16.2016.86
DO  - https://doi.org/10.2991/amsm-16.2016.86
ID  - Chen2016/05
ER  -