Event-Triggered Based Synchronization of Linear Singularly Perturbed Systems
This paper addresses the synchronization problem in a complex dynamical network where each node is considered a linear singularly perturbed system. A network is considered where the slow dynamics of one node may be coupled with fast dynamics of the other nodes and vice versa. Two-time scale separation of the overall network is shown and feedback control is designed using classical singular perturbation theory. Considering the limited network resources, an event-triggering mechanism is designed separately for the slow and fast states of the overall network, such that synchronization is achieved without Zeno behaviour.
KeywordsSynchronization Singular perturbation Event-triggered Complex dynamical network
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