Stabilization Strategies of Supply Networks with Stochastic Switched Topology

Stabilization Strategies of Supply Networks with Stochastic Switched Topology

In this paper, a dynamical supply networks model with stochastic switched topology is presented, in which the stochastic switched topology is dependent on a continuous time Markov process. The goal is to design the state-feedback control strategies to stabilize the dynamical supply networks. Based o...

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Main Authors: Shukai Li, Jianxiong Zhang, Wansheng Tang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/605017
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spelling doaj-0924b640c5764127ab33b5f16706664b2020-11-25T01:50:26ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/605017605017Stabilization Strategies of Supply Networks with Stochastic Switched TopologyShukai Li0Jianxiong Zhang1Wansheng Tang2State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, ChinaInstitute of Systems Engineering, Tianjin University, Tianjin 300072, ChinaInstitute of Systems Engineering, Tianjin University, Tianjin 300072, ChinaIn this paper, a dynamical supply networks model with stochastic switched topology is presented, in which the stochastic switched topology is dependent on a continuous time Markov process. The goal is to design the state-feedback control strategies to stabilize the dynamical supply networks. Based on Lyapunov stability theory, sufficient conditions for the existence of state feedback control strategies are given in terms of matrix inequalities, which ensure the robust stability of the supply networks at the stationary states and a prescribed H∞ disturbance attenuation level with respect to the uncertain demand. A numerical example is given to illustrate the effectiveness of the proposed method.http://dx.doi.org/10.1155/2013/605017
collection DOAJ
language English
format Article
sources DOAJ
author Shukai Li
Jianxiong Zhang
Wansheng Tang
spellingShingle Shukai Li
Jianxiong Zhang
Wansheng Tang
Stabilization Strategies of Supply Networks with Stochastic Switched Topology
Journal of Applied Mathematics
author_facet Shukai Li
Jianxiong Zhang
Wansheng Tang
author_sort Shukai Li
title Stabilization Strategies of Supply Networks with Stochastic Switched Topology
title_short Stabilization Strategies of Supply Networks with Stochastic Switched Topology
title_full Stabilization Strategies of Supply Networks with Stochastic Switched Topology
title_fullStr Stabilization Strategies of Supply Networks with Stochastic Switched Topology
title_full_unstemmed Stabilization Strategies of Supply Networks with Stochastic Switched Topology
title_sort stabilization strategies of supply networks with stochastic switched topology
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description In this paper, a dynamical supply networks model with stochastic switched topology is presented, in which the stochastic switched topology is dependent on a continuous time Markov process. The goal is to design the state-feedback control strategies to stabilize the dynamical supply networks. Based on Lyapunov stability theory, sufficient conditions for the existence of state feedback control strategies are given in terms of matrix inequalities, which ensure the robust stability of the supply networks at the stationary states and a prescribed H∞ disturbance attenuation level with respect to the uncertain demand. A numerical example is given to illustrate the effectiveness of the proposed method.
url http://dx.doi.org/10.1155/2013/605017
work_keys_str_mv AT shukaili stabilizationstrategiesofsupplynetworkswithstochasticswitchedtopology
AT jianxiongzhang stabilizationstrategiesofsupplynetworkswithstochasticswitchedtopology
AT wanshengtang stabilizationstrategiesofsupplynetworkswithstochasticswitchedtopology
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