Controlling complex networks is of paramount importance in science and engineering. Despite the recent development structural controllability theory, we continue to lack a framework control undirected networks, especially given link weights. Here introduce an exact paradigm based on maximum multiplicity identify minimum set driver nodes required achieve full with arbitrary structures link-weight distributions. The reproduces directed characterized by matrices. We explore large number real...

We develop a general framework to analyze the controllability of multiplex networks using multiple-relation and multiple-layer with interlayer couplings as two classes prototypical systems. In former, associated different physical variables share same set nodes in latter, diffusion processes take place. find that, for network, layer exists that dominantly determines whole network and, small fraction interconnections can enhance remarkably. Our theory is generally applicable other types well,...

Fractal networks are ubiquitous in nature, ranging from river to vascular networks. The ultimate goal of exploring these fractal networked systems lies controlling the dynamical processes that take place on them. We offer analytical results exactly understand our ability control dynamics regular terms identifying minimum number driver nodes required achieve full control. According exact controllability theory, an undirected network is completely determined by eigenvalue spectrum coupling...

Wenzhou has achieved great progress in the prevention and control of growing coronavirus disease 2019 (COVID-19) pandemic, traditional Chinese medicine (TCM) played an indispensable role this fight. This study aimed to investigate efficacy Maxingshigan-Weijing decoction (MWD) treating infected patients.This was open-label randomized controlled trial. Inpatients with mild or moderate symptoms caused by severe acute respiratory syndrome 2 (SARS-CoV-2) infection were randomly treated routine...

Adaptive control technique is used to design suitable controllers synchronize two different coupled chaotic systems with uncertainties. The information signal hidden in transmitted and then successfully recovered at the receiver once synchronization achieved. Different uncertainties are chosen respectively as transmitter ensure higher security communication. Numerical simulation examples verify effectiveness of proposed method.

The ultimate goal of exploring complex networks is to control them. As such, controllability has been intensively investigated. Despite recent advances in studying the impact a network's topology on its controllability, comprehensive understanding synergistic network and dynamics still lacking. Here, we explore flow-conservation networks, trying identify minimal number driver nodes that can guide any desirable state. We develop method analyze based exact theory, transforming original...

A new method of virtual unknown parameter is proposed to synchronize two different systems with parameters and disturbance in finite time. Virtual are introduced order avoid the from appearing controllers update laws when adaptive control applied. single used design if Lipschitz constant on nonlinear function can be found, while multiple adopted cannot determined. Numerical simulations show that present does make chaotic

Post-stroke sialorrhea (PSS) refers to excessive saliva flowing out the lip border after a stroke. PSS negatively affects patient self-image and social communication may lead depression. Limited evidence supports link between salivation PSS. No large-scale, strictly controlled randomized trials have shown effectiveness of acupuncture in treating patients.

A new method of virtual unknown parameter is proposed to synchronize two different systems with parameters and disturbance in finite time. The information signal hidden chaotic transmitted can be successfully recovered at the receiver once synchronization achieved. Numerical simulations show that present effective.

Adaptive controllers are designed to synchronize two different chaotic systems with uncertainties, including unknown parameters, internal and external perturbations. Lyapunov stability theory is applied prove that under some conditions the drive-response can achieve synchronization uniform ultimate bound even though bounds of uncertainties not known exactly in advance. The contain only feedback terms partial nonlinear systems, they easy implement practice. Lorenz system Chen chosen as...

Star networks are very popular in network science, ranging from mathematical to computer networks. The ultimate goal of exploring these star systems lies controlling the dynamical processes. In this paper, we construct a star-type and give its characteristic polynomial, which directly expresses exact controllability complex network. Our results have an effect on such reality that feature.

This paper investigates the pinning control strategy of BA scale-free network through numerical analysis.A new cost function is defined to measure control.Compared with gain and nodes smallest degrees or biggest degrees, an interesting result that a smaller lower are achieved by using scheme degrees.Moreover, there minimal respectively.The number controllers considered finally.

Although more attention has been paid to controlling complex network, it is still lack an efficient method analyze the controllability of a large undirected network. Here, we establish structural reduction (SRM) get control core original network by revised leaf removal process. The keeps same as and maintains one-to-one correspondence nodes, which means driver nodes analysis can be done in core. With this method, investigate property two artificial networks. Then, illustrate high efficiency...

Adaptive controllers are designed to synchronize two different chaotic systems with uncertainties, including unknown parameters, internal and external perturbations. Lyapunov stability theory is applied prove that under some conditions the drive-response can achieve synchronization uniform ultimate bound even though bounds of uncertainties not known exactly in advance. The contain only feedback terms partial nonlinear systems, they easy implement practice. Lorenz system Chen chosen as...

An adaptive method is proposed to synchronize two different systems with unknown parameters and disturbance. Base on Lyapunov stability theory, an controller update laws are designed chaotic even though the bounds disturbance unknown. Numerical simulation results verify effectiveness of method.

Synchronization on complex networks without self-loop has been investigated for a long time, but is obvious in some actual like biological network and circuit network. In this paper, the fundamental dynamical system of with first constructed. Then synchronization state criteria as well effect different are investigated.

Numerical computing of the rank a matrix is fundamental problem in scientific computation. The datasets generated by internet often correspond to analysis high-dimensional sparse matrices. Notwithstanding recent advances promotion traditional singular value decomposition (SVD), an efficient estimation algorithm for still lacking. Inspired controllability theory complex networks, we converted into maximum matching computing. Then, established fast using cavity method, powerful approximate...