Article
Mathematics
Alma Y. Alanis, Daniel Rios-Rivera, Edgar N. Sanchez, Oscar D. Sanchez
Summary: This paper presents an impulsive pinning control algorithm for discrete-time complex networks, using a linear algebra approach and neural network for identification to synthesize a learning control law. A numerical simulation is included to illustrate the system behavior under the developed controller.
Article
Mathematics, Interdisciplinary Applications
Tao Meng, Gaopeng Duan, Aming Li, Long Wang
Summary: In order to control complex networks, it is important to understand the minimum control energy required for target control. This study introduces an efficient method to calculate this energy without traditional complex calculations. The results show that the scaling behavior is determined by the controllable part of the network and provides upper and lower bounds for the minimum control energy. This method is also applicable to controlling temporal networks composed of uncontrollable snapshots.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Physics, Multidisciplinary
Zhengzhong Yuan, Jingwen Li, Zhesi Shen, Li Hu, Chen Zhao
Summary: Although there is increasing attention on controlling complex networks, an efficient method to analyze the controllability of large undirected networks is still lacking. In this study, a structural reduction method (SRM) is proposed to obtain a control core of the original undirected network by a revised leaf removal process. The SRM demonstrates high efficiency in analyzing the controllability of large undirected networks, and the control core consists of isolated nodes and smaller components, greatly improving the efficiency of identifying and analyzing driver nodes. Furthermore, SRM is applied to empirical networks, confirming its effectiveness by the removal of more than 20% of nodes and 70% of links. These findings deepen our understanding of the controllability of undirected networks and provide an effective method for researching the controllability of large undirected complex networks.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2023)
Article
Astronomy & Astrophysics
Marco Frasca, Anish Ghoshal, Alexey S. Koshelev
Summary: We present a theorem demonstrating that the non-local bosonic field, when interacting covariantly with a confining gauge field, undergoes a confinement of its degrees of freedom, leading to a complete change in the physical mass spectrum according to the Kugo-Ojima criterion. This theorem applies to an infinite number of excitations of the bosonic field, including ghosts, with a specific focus on modes exhibiting complex conjugate masses, which are prevalent in infinitederivative models motivated by string field theory. The same approach can be applied to Lee-Wick models as well.
Article
Automation & Control Systems
Xiaolin Yuan, Guojian Ren, Yongguang Yu, Wenjiao Sun
Summary: This paper investigates the mean-square pinning control problem of fractional stochastic discrete-time complex networks. It establishes a new model with stochastic noise and develops pinning controllers and sufficient conditions for the complex networks. By utilizing Lyapunov energy function theory and matrix analysis theory, it proves that synchronization of the networks can be achieved in a mean-square sense via pinning control. Furthermore, these results are extended to solve the synchronization problem of general fractional discrete-time complex networks without noise.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Jianwen Feng, Jingxin Chen, Jingyi Wang, Yi Zhao
Summary: This paper investigates the exponential synchronization problem for complex networks with hybrid delays using the event intermittent control (EIC) strategy. A modified lemma related to delays is derived without pre-designing intermittent instants, and synchronization criteria with less conservatism are established using linear matrix inequalities (LMIs). The effectiveness of the proposed EIC strategy is verified through simulations of a numerical example.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Automation & Control Systems
Yan Dong, Junwei Chen, Jinde Cao
Summary: The present study investigates the issue of fixed-time synchronization for delayed complex networks under intermittent pinning control. By developing a new differential inequality lemma and utilizing Lyapunov theory and pinning control approach, sufficient conditions are proposed to guarantee fixed-time pinning synchronization for intermittently controlled delayed complex networks. Additionally, the settling time is explicitly estimated, and the scenario of periodic complete intermittent control is also discussed.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Physics, Multidisciplinary
Hillel Sanhedrai, Shlomo Havlin
Summary: Epidemics on complex networks have been extensively studied in recent years, primarily due to past pandemic events. Real contact networks are usually dynamic, so much effort has been dedicated to exploring epidemics on evolving networks. In this study, we propose and analyze a model for evolving networks based on varying degrees. We find the epidemic threshold and the probability of disease spread using analytical methods and confirm our results with numerical simulations. Our findings show that the impact of the rewiring rate r differs qualitatively for networks with different degree distributions. We also discover that the extreme vulnerability of static scale-free networks disappears when the networks evolve fully, suggesting the importance of network dynamics in epidemic spreading. Additionally, we determine the epidemic threshold for a general distribution of recovery time.
NEW JOURNAL OF PHYSICS
(2022)
Article
Mathematics, Interdisciplinary Applications
Xuefei Wu, Jianwen Feng, Zhe Nie
Summary: This paper addresses the outer exponential synchronization of complex dynamical networks with time-varying delays, proposing intermittent pinning control and deriving novel sufficient conditions using the Lyapunov functional method. Two numerical examples are presented to demonstrate the effectiveness of the control protocols in achieving synchronization.
Article
Engineering, Multidisciplinary
Lin-hao Zhao, Shiping Wen, Chaojie Li, Kaibo Shi, Tingwen Huang
Summary: This paper presents recent progress in the dynamical behaviors of complex networks and complex networks with multi-weights under various control approaches, highlighting synchronization and passivity as well as their extensions.
IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING
(2022)
Article
Engineering, Electrical & Electronic
Jorge D. Rios, Daniel Rios-Rivera, Jesus Hernandez-Barragan, Marco Perez-Cisneros, Alma Y. Alanis
Summary: Robot formation control using complex network pinning control and coordinate translation is presented in this work. Simulation and experimental tests show favorable results on different robot groups and formations.
Article
Physics, Fluids & Plasmas
Maira Bolfe, Fernando L. Metz, Edgar Guzman-Gonzalez, Isaac Perez Castillo
Summary: The study investigates the characteristics of the two-star model with degree-degree correlations in the sparse regime, revealing a first-order transition to a condensed phase and different degree distribution features based on different degree correlations. The research also finds that degree assortativities are nonmonotonic functions of the model parameters, exhibiting discontinuous behavior.
Article
Mathematics, Interdisciplinary Applications
Mahmoud Arbid, Abdelkader Teffahi, Abdelkrim Boukabou, Amel Bounar
Summary: This paper addresses the issue of designing a robust controller for a complex dynamical network (CDN) characterized by a scale-free structure. By applying pinning control and matrix measure theory, simple stability criteria are derived to ensure the asymptotic stability of the system states, leading to convergence towards desired unstable equilibriums. The proposed controller can be applied to handle a broader class of CDNs with different types of nodes. Numerical simulations validate the effectiveness of the proposed control method.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Automation & Control Systems
Xiuli He, Huiyan Zhang
Summary: This study focuses on exponential synchronization for a class of complex networks, utilizing feedback control and stochastic periodically intermittent noise. The synchronization scheme utilizing intermittent noise requires less control energy and the threshold of intermittent rate for synchronization scheme is derived.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Article
Computer Science, Artificial Intelligence
Yao Xu, Shang Gao, Wenxue Li
Summary: This article examines the exponential stability problem of fractional-order complex multi-links networks under aperiodically intermittent control, and provides the theoretical results on how control gain and fractional derivative order affect the exponential convergence rate. The practicality of the theoretical results is demonstrated through investigating the stability of fractional-order competitive neural networks with aperiodically intermittent control and establishing a stability criterion, which is further validated through a numerical example.
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS
(2021)