Abstract
The stabilization problem of networked distributed systems with partial and event-based couplings is investigated. The channels, which are used to transmit different levels of information of agents, are considered. The channel matrix is introduced to indicate the work state of the channels. An event condition is designed for each channel to govern the sampling instants of the channel. Since the event conditions are separately given for different channels, the sampling instants of channels are mutually independent. To stabilize the system, the state feedback controllers are implemented in the system. The control signals also suffer from the two communication constraints. The sufficient conditions in terms of linear matrix equalities are proposed to ensure the stabilization of the controlled system. Finally, a numerical example is given to demonstrate the advantage of our results.
Highlights
Recent years have witnessed a thriving research activity on how to assemble and coordinate networked distributed systems (NDSs) into a coherent whole to perform a common task [1]
We focus on the stabilization problem of NDSs with partial and event-based couplings
The purpose of this paper is to propose a set of sufficient conditions for controlled NDS (7) with partial and eventtriggered communication to ensure the globally exponential stabilization
Summary
Recent years have witnessed a thriving research activity on how to assemble and coordinate networked distributed systems (NDSs) into a coherent whole to perform a common task [1]. NDSs have obvious advantages in practice, such as energy saving, easy installation, and higher reliability [2,3,4,5,6]. Studying stabilization of NDSs is of theoretical and practical importance. Due to the absence of central data fusion, the classical centralized control scheme is not feasible for NDSs. the cooperative control strategy is a preferred choice. An effective approach is to implement controllers for a fraction of the NDSs to stabilize the whole system, which is referred to as the pinning stabilization problem [7, 8]
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