Abstract
This paper considers the stabilization problem of networked nonlinear systems under two cases, i.e., the small transmission delay case and the large transmission delay case since the varying transmission delays may be smaller/larger than the transmission intervals. Firstly, a general hybrid model is proposed by simultaneously incorporating the two cases. In the absence of communication network, an appropriate controller is designed to ensure stability of considered networked nonlinear system. Next, based on the newly developed hybrid model, a Lyapunov function is proposed to establish some conditions for the maximum allowable transmission interval and the maximum allowable delay under the designed controller. Compared with some previous investigations, this paper is more general since the two cases are simultaneously considered in the proposed hybrid model. Finally, the results are verified by considering the stabilization problem of a batch reactor system.
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