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Synchronization and Control of Linearly Coupled Singular Systems

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  • Fang Qingxiang
  • Peng Jigen
  • Cao Feilong

Abstract

The synchronization and control problem of linearly coupled singular systems is investigated. The uncoupled dynamical behavior at each node is general and can be chaotic or, otherwise the coupling matrix is not assumed to be symmetrical. Some sufficient conditions for globally exponential synchronization are derived based on Lyapunov stability theory. These criteria, which are in terms of linear matrix inequality (LMI), indicate that the left and right eigenvectors corresponding to eigenvalue zero of the coupling matrix play key roles in the stability analysis of the synchronization manifold. The controllers are designed for state feedback control and pinning control, respectively. Finally, a numerical example is provided to illustrate the effectiveness of the proposed conditions.

Suggested Citation

  • Fang Qingxiang & Peng Jigen & Cao Feilong, 2013. "Synchronization and Control of Linearly Coupled Singular Systems," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-10, April.
    • Handle: RePEc:hin:jnlmpe:230741
    DOI: 10.1155/2013/230741
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