Название: Dynamical Behaviors of Multiweighted Complex Network Systems
Автор: Jin-Liang Wang, Shun-Yan Ren, Huai-Ning Wu, Tingwen Huang
Издательство: Wiley-IEEE Press
Год: 2025
Страниц: 242
Язык: английский
Формат: pdf (true), epub (true)
Размер: 25.0 MB

Highly comprehensive resource for studying neural networks, complex networks, synchronization, passivity, and associated applications.

Dynamical Behaviors of Multiweighted Complex Network Systems discusses the dynamical behaviors of various multiweighted complex dynamical networks, with detailed insight on synchronization for directed and undirected complex networks (CNs) with multiple state or delayed state couplings subject to recoverable attacks, along with passivity and synchronization for coupled neural networks with multi-weights (CNNMWs) by virtue of devised proportional-integral-derivative (PID) controllers.

The book also investigates finite-time synchronization (FTS) and H-infinity synchronization for two types of coupled neural networks (CNNs) and focuses on finite-time passivity (FTP) and finite-time synchronization (FTS) for complex dynamical networks with multiple state/derivative couplings based on the proportional-derivative (PD) control method. Final chapters consider finite-time output synchronization and H-infinity output synchronization problems, and multiple weighted coupled reaction-diffusion neural networks (CRDNNs) with and without coupling delays.

Other topics covered in Dynamical Behaviors of Multiweighted Complex Network Systems include:

Criteria of FTP for complex dynamical networks with multiple state couplings (CDNMSCs), formulated by utilizing the PD controller
Finite-time passivity (FTP) concepts for the spatially and temporally systems with different dimensions of output and input
FTS and finite time H-infinity synchronization problems for CDNs with multiple state/derivative couplings by utilizing state feedback control approach and selecting suitable parameter adjustment schemes
Adaptive output synchronization and output synchronization of CDNs with multiple output or output derivative couplings, and other adaptive control schemes

Recently, numerous researchers have turned their attention to the dynamical behaviors of complex dynamical networks (CDNs) including the synchronization, stability, and passivity. However, most of existing results on dynamical behaviors are all based on network models with single weight. It is well known that many real-world networks should be described by CDNs with multiweights, such as public traffic roads networks, social networks, intercity population flow networks, and so on. Therefore, it is meaningful to further study the dynamical behaviors for multiweighted CDNs (MWCDNs).

The purpose of this book is to introduce recent research work on analysis and control of dynamical behaviors for MWCDNs. The book is structured as follows:

Chapter 1 respectively takes the synchronization into consideration for directed and undirected complex networks (CNs) with multiple state or delayed state couplings subject to recoverable attacks. By employing inequality techniques, choosing appropriate Lyapunov functional, and adopting the designed state feedback controller, two criteria of the synchronization are developed for the directed CN with multiple state couplings (CNMSCs). Moreover, the synchronization of CNMSCs is also discussed for the case that the network topology is undirected. In addition, two types of CNs with multiple delayed state couplings are also proposed, and several criteria of synchronization are formulated for these networks.

Chapter 2 mainly discusses the passivity and synchronization for a coupled neural networks with multiweights (CNNMWs) by virtue of devised proportional-integral-derivative (PID) controllers. On the one hand, several passivity criteria for the CNNMWs are put forward on the basis of suitable Lyapunov functional, inequality techniques, and devised proportional-derivative (PD) controller, and the output-strict passivity is employed to deal with the synchronization of the CNNMWs. On the other hand, the passivity of the CNNMWs is also investigated by choosing appropriate proportional-integral (PI) controller, and a criterion of synchronization is developed for the CNNMWs...

Enabling readers to understand foundational concepts and grasp the latest research, Dynamical Behaviors of Multiweighted Complex Network Systems is essential for all who study neural networks, complex networks, synchronization, passivity, and their applications.