A research study on methods for improving the service quality of a network system based on time information

Abstract

The network delay is one of the important criteria for selecting computing and networking capabilities. Network delay is one of the important bases of computing network selection. With the continuous development and integration of digital technology, communication technology, and control theory, the research on control theory for networked systems has rapidly advanced. This study proposes an event-triggered mixed time-delay neural network (NN) synchronization method, aiming to reduce network transmission delays through the optimization of NNs, thereby enhancing service responsiveness or reducing errors in data transmission. Firstly, a discrete-driven NN model subject to mixed time delays is established, and the corresponding response network is constructed. In the design of the synchronization controller, a quadratic function is constructed based on the measurement of error states, serving as a threshold for designing the event-trigger mechanism. For the synchronization error system, by constructing a Lyapunov–Krasovskii functional dependent on time delays and a general µ-function, analytical techniques and matrix theory are applied to obtain sufficient criteria for the µ-stability. The validity of the theoretical findings is proven through numerical examples.