Integral-Based Memory Event-Triggered Controller Design for Uncertain Neural Networks with Control Input Missing

Ping Wang, Zhen Wang and Haiyang Xu ()
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Ping Wang: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Zhen Wang: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Haiyang Xu: College of Science and Information, Qingdao Agricultural University, Qingdao 266109, China

Mathematics, 2025, vol. 13, issue 5, 1-15

Abstract: In this paper, the controller design problem for uncertain neural networks (NNs) with control input missing is addressed under an event-triggered (ET) scheme. First, under the zero-input method, the closed-loop system is modeled as a switched system which includes a stable subsystem and an unstable subsystem. Next, a novel integral-based memory event-triggered (IMET) scheme is designed, which can prevent Zeno behavior. The proposed IMET scheme is designed over a specified memory interval; thus, it can make full use of the historical state information, thereby reducing the adverse impact caused by packet dropouts. Then, with the analysis method of switched systems, a piecewise time-dependent Lyapunov functional is designed, and low conservative conditions are derived to ensure the exponential stability of the switched closed-loop system. Meanwhile, the constraints on the packet loss rate and the average dwell time are established. Moreover, the design of the controller gain is also given. Finally, the feasibility of IMET is verified using an example.

Keywords: control input missing; integral; memory event-triggered scheme; neural networks; switched systems; uncertainty (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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