Abstract
A novel memory event-triggered scheme for positive systems is proposed in this paper. To address the conservatism of the existing memory event-triggered scheme, the weight parameter on the left side of the memory event-triggered scheme is replaced with a dynamic function. This modification results in a dynamic weighted memory event-triggered scheme that can be applied in both continuous-time and discrete-time contexts. By adjusting the weight dynamically based on the system operation, the scheme can respond more effectively to changes in the system state. Compared to the memory event-triggered scheme, a more flexible balance is achieved between improving system performance and saving system resources. A joint design that combines the dynamic weighted memory event-triggered scheme and positive systems is presented for continuous linear systems, with the controller gain obtained by a linear programming strategy. The proposed co-design scheme is subsequently extended to discrete positive systems. To demonstrate the effectiveness of the proposed method, two practical applications are presented.
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