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: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/605017 |
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| _version_ | 1832562652717514752 |
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| author | Shukai Li Jianxiong Zhang Wansheng Tang |
| author_facet | Shukai Li Jianxiong Zhang Wansheng Tang |
| author_sort | Shukai Li |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-0924b640c5764127ab33b5f16706664b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-0924b640c5764127ab33b5f16706664b2025-02-03T01:22:02ZengWileyJournal 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 |
| spellingShingle | Shukai Li Jianxiong Zhang Wansheng Tang Stabilization Strategies of Supply Networks with Stochastic Switched Topology Journal of Applied Mathematics |
| title | 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_short | Stabilization Strategies of Supply Networks with Stochastic Switched Topology |
| title_sort | stabilization strategies of supply networks with stochastic switched topology |
| url | http://dx.doi.org/10.1155/2013/605017 |
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