Input-output finite-time stability and stabilization of stochastic Markovian jump systems

Hongji Ma; Yingmin Jia

doi:10.1109/CDC.2011.6160384

Input-output finite-time stability and stabilization of stochastic Markovian jump systems

Hongji Ma^*
, Yingmin Jia

^*此作品的通讯作者

自动化科学与电气工程学院

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

16 引用（Scopus）

摘要

In this paper, we introduce a new concept named input-output finite-time mean square stability (IO-FTMSS) for stochastic Markovian jump systems. In contrast to the available notions of stochastic stability, IO-FTMSS characterizes the input-output behavior of dynamics on a finite time horizon. Concerning a class of random input signals L_T², the problems of input-output finite-time mean square stability and stabilization are investigated for both linear and nonlinear stochastic systems perturbed by Markovian processes. Sufficient conditions are derived in terms of coupled linear matrix inequalities (LMIs) and Hamilton-Jacobi inequalities (HJIs), respectively. In addition, a numerical example is supplied to illustrate the proposed technique.

源语言	英语
主期刊名	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
出版商	Institute of Electrical and Electronics Engineers Inc.
页	8026-8031
页数	6
ISBN（印刷版）	9781612848006
DOI	https://doi.org/10.1109/CDC.2011.6160384
出版状态	已出版 - 2011
活动	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - Orlando, FL, 美国期限: 12 12月 2011 → 15 12月 2011

出版系列

姓名	Proceedings of the IEEE Conference on Decision and Control
ISSN（印刷版）	0743-1546
ISSN（电子版）	2576-2370

会议

会议	2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
国家/地区	美国
市	Orlando, FL
时期	12/12/11 → 15/12/11

访问文件

10.1109/CDC.2011.6160384

其它文件与链接

链接到 Scopus 的出版物

引用此

Ma, H., & Jia, Y. (2011). Input-output finite-time stability and stabilization of stochastic Markovian jump systems. 在 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 (页码 8026-8031). 文章 6160384 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2011.6160384

@inproceedings{4ec9bd560013469da18855ad832c2379,

title = "Input-output finite-time stability and stabilization of stochastic Markovian jump systems",

abstract = "In this paper, we introduce a new concept named input-output finite-time mean square stability (IO-FTMSS) for stochastic Markovian jump systems. In contrast to the available notions of stochastic stability, IO-FTMSS characterizes the input-output behavior of dynamics on a finite time horizon. Concerning a class of random input signals LT2, the problems of input-output finite-time mean square stability and stabilization are investigated for both linear and nonlinear stochastic systems perturbed by Markovian processes. Sufficient conditions are derived in terms of coupled linear matrix inequalities (LMIs) and Hamilton-Jacobi inequalities (HJIs), respectively. In addition, a numerical example is supplied to illustrate the proposed technique.",

author = "Hongji Ma and Yingmin Jia",

year = "2011",

doi = "10.1109/CDC.2011.6160384",

language = "英语",

isbn = "9781612848006",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "8026--8031",

booktitle = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011",

address = "美国",

note = "2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 ; Conference date: 12-12-2011 Through 15-12-2011",

}

Ma, H & Jia, Y 2011, Input-output finite-time stability and stabilization of stochastic Markovian jump systems. 在 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011., 6160384, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., 页码 8026-8031, 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011, Orlando, FL, 美国, 12/12/11. https://doi.org/10.1109/CDC.2011.6160384

Input-output finite-time stability and stabilization of stochastic Markovian jump systems. / Ma, Hongji; Jia, Yingmin.
2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc., 2011. 页码 8026-8031 6160384 (Proceedings of the IEEE Conference on Decision and Control).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - Input-output finite-time stability and stabilization of stochastic Markovian jump systems

AU - Ma, Hongji

AU - Jia, Yingmin

PY - 2011

Y1 - 2011

N2 - In this paper, we introduce a new concept named input-output finite-time mean square stability (IO-FTMSS) for stochastic Markovian jump systems. In contrast to the available notions of stochastic stability, IO-FTMSS characterizes the input-output behavior of dynamics on a finite time horizon. Concerning a class of random input signals LT2, the problems of input-output finite-time mean square stability and stabilization are investigated for both linear and nonlinear stochastic systems perturbed by Markovian processes. Sufficient conditions are derived in terms of coupled linear matrix inequalities (LMIs) and Hamilton-Jacobi inequalities (HJIs), respectively. In addition, a numerical example is supplied to illustrate the proposed technique.

AB - In this paper, we introduce a new concept named input-output finite-time mean square stability (IO-FTMSS) for stochastic Markovian jump systems. In contrast to the available notions of stochastic stability, IO-FTMSS characterizes the input-output behavior of dynamics on a finite time horizon. Concerning a class of random input signals LT2, the problems of input-output finite-time mean square stability and stabilization are investigated for both linear and nonlinear stochastic systems perturbed by Markovian processes. Sufficient conditions are derived in terms of coupled linear matrix inequalities (LMIs) and Hamilton-Jacobi inequalities (HJIs), respectively. In addition, a numerical example is supplied to illustrate the proposed technique.

UR - https://www.scopus.com/pages/publications/84860654331

U2 - 10.1109/CDC.2011.6160384

DO - 10.1109/CDC.2011.6160384

M3 - 会议稿件

AN - SCOPUS:84860654331

SN - 9781612848006

T3 - Proceedings of the IEEE Conference on Decision and Control

SP - 8026

EP - 8031

BT - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011

Y2 - 12 December 2011 through 15 December 2011

ER -

Ma H, Jia Y. Input-output finite-time stability and stabilization of stochastic Markovian jump systems. 在 2011 50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011. Institute of Electrical and Electronics Engineers Inc. 2011. 页码 8026-8031. 6160384. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2011.6160384

Input-output finite-time stability and stabilization of stochastic Markovian jump systems

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