Free-matrix-based time-dependent discontinuous Lyapunov functional for synchronization of delayed neural networks with sampled-data control
MetadataShow full item record
This paper is concerned with the synchronization of delayed neural networks via sampled-data control. A new technique, namely, the free-matrix-based time-dependent discontinuous Lyapunov functional approach, is adopted in constructing the Lyapunov functional, which takes advantage of the sampling characteristic of sawtooth input delay. Based on this discontinuous Lyapunov functional, some less conservative synchronization criteria are established to ensure that the slave system is synchronous with the master system. The desired sampled-data controller can be obtained through the use of the linear matrix inequality (LMI) technique. Finally, two numerical examples are provided to demonstrate the effectiveness and the improvements of the proposed methods.
Showing items related by title, author, creator and subject.
A new Lyapunov functional approach to sampled-data synchronization control for delayed neural networksXiao, S.; Lian, H.; Teo, Kok Lay; Zeng, H.; Zhang, X. (2018)This paper discusses the problem of synchronization for delayed neural networks using sampled-data control. We introduce a new Lyapunov functional, called complete sampling-interval-dependent discontinuous Lyapunov ...
Zeng, Hong-Bing; Teo, Kok Lay; He, Y.; Xu, Honglei; Wang, Wei (2017)In this paper, the sampled-data control is applied to synchronize chaotic neural networks subject to actuator saturation. By employing a time-dependent Lyapunov functional that captures the characteristic information of ...
Liu, B.; Teo, Kok; Liu, X. (2007)In this Letter, we aim to study global synchronization for dynamical network with multicoupling time delays. By utilizing the Lyapunov–Krasovskii functional method and linear matrix inequalities (LMIs), we derive some ...