Synchronization and state feedback control of linearly coupled singular systems

摘要

In this paper, the synchronization and state feedback control problem of the 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 eigenvector corresponding to eigenvalue zero of the coupling matrix play key roles in the stability analysis of the synchronization manifold. The state feedback controller is designed. Finally, a numerical example is provided to illustrate the effectiveness of the proposed conditions.