Stabilization Strategies of Supply Networks with Stochastic Switched Topology | Zendy

Shukai Li | Zendy; Jianxiong Zhang | Zendy; Wansheng Tang | Zendy

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Stabilization Strategies of Supply Networks with Stochastic Switched Topology

Author(s) -

Shukai Li,

Jianxiong Zhang,

Wansheng Tang

Publication year - 2013

Publication title -

journal of applied mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.307

H-Index - 43

eISSN - 1687-0042

pISSN - 1110-757X

DOI - 10.1155/2013/605017

Subject(s) - computer science , stability (learning theory) , topology (electrical circuits) , state (computer science) , markov process , network topology , control theory (sociology) , mathematics , mathematical optimization , control (management) , algorithm , machine learning , artificial intelligence , combinatorics , statistics , operating system

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. © 2013 Shukai Li et al.

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