Complex networks typically involve multiple disciplines due to network dynamics and their statistical nature. When modeling practical networks, both impulsive effects and logical dynamics have recently attracted increasing attention. Hence, it is of interest and importance to consider hybrid complex networks with impulsive effects and logical dynamics. Relevant research is prevalent in cells, ecology, social systems, and communication engineering. In hybrid complex networks, numerous nodes are coupled through networks and their properties usually lead to complex dynamic behaviors, including discrete and continuous dynamics with finite values of time and state space. Generally, continuous and discrete sections of the systems are described by differential and difference equations, respectively. Logical networks are used to model the systems where time and state space take finite values. Although interesting results have been reported regarding hybrid complex networks, the analysis methods and relevant results could be further improved with respect to conservative impulsive delay inequalities and reproducibility of corresponding stability or synchronization criteria. Therefore, it is necessary to devise effective approaches to improve the analysis method and results dealing with hybrid complex networks

Ho, Daniel W. C.

Huang, Tingwen

Kurths, Jurgen

Lu, Jianquan

Trajkovic, Ljiljana

IEEE Access

English

Repositorium für Naturwissenschaften und Technik

SPECIAL SECTION ON RECENT ADVANCES ON HYBRID COMPLEX NETWORKS:ANALYSIS AND CONTROLDigital Object Identifier 10.1109/ACCESS.2021.3087971EDITORIALIEEE ACCESS SPECIAL SECTION EDITORIAL:RECENT ADVANCES ON HYBRID COMPLEXNETWORKS: ANALYSIS AND CONTROLComplex networks typically involve multiple disciplinesdue to network dynamics and their statistical nature. Whenmodeling practical networks, both impulsive effects andlogical dynamics have recently attracted increasing attention.Hence, it is of interest and importance to consider hybridcomplex networks with impulsive effects and logical dynam-ics. Relevant research is prevalent in cells, ecology, socialsystems, and communication engineering. In hybrid complexnetworks, numerous nodes are coupled through networks andtheir properties usually lead to complex dynamic behaviors,including discrete and continuous dynamics with finite valuesof time and state space. Generally, continuous and discretesections of the systems are described by differential anddifference equations, respectively. Logical networks are usedto model the systems where time and state space takefinite values. Although interesting results have been reportedregarding hybrid complex networks, the analysis method andrelevant results could be further improved with respect toconservative impulsive delay inequalities and reproducibilityof corresponding stability or synchronization criteria. There-fore, it is necessary to devise effective approaches to improvethe analysis methods and results dealing with hybrid complexnetworks.This Special Section of IEEE ACCESS on ‘‘RecentAdvances on Hybrid Complex Networks: Analysis andControl’’ provides a valuable and timely platform forexchanging the latest advances in hybrid complex networks.The Call for Papers generated great enthusiasm in thescientific community. Of the 51 submissions received,17 articles were accepted for inclusion in the SpecialSection after a thorough review process by at least twoindependent referees. The 17 accepted articles are broadlycategorized into two groups: 14 articles report theoreticalresults dealing with analysis and control of hybrid complexnetworks including multi-agent networks, logical networks,and fuzzy systems, while the remaining three articles discussapplications in the fields of electric vehicles, social networks,and forecasting stock prices.In the first group, the article ‘‘Distributed event-triggeredcontrol for prescribed finite-time consensus of linearmulti-agent systems,’’ by Lu considers the prescribedfinite-time consensus problem of linear multi-agent systemsbased on distributed event-triggered control strategies. Dif-ferent from most existing prescribed finite-time consensuscontrol rules that are based on continuous communicationbetween agents and their neighbors, the proposed controllaws are built based on the event-triggered mechanism.In the article ‘‘Bifurcation analysis and probabilisticenergy landscapes of two-component genetic network,’’Zhu et al. investigate the global kinetics of an activator–repressor genetic oscillator through the bifurcation analysisand probabilistic energy landscape. The proposed approach isquite general and provides a realistic pathway for analyzingthe global stability, robustness, and kinetics of a complexgene network.The article ‘‘Pinning stabilization of probabilistic booleannetworks with time delays,’’ by Liu et al. discusses thestabilization issues for probabilistic Boolean networks withtime delays. Using the semi-tensor product of matrices, threealgorithms are proposed for designing minimum pinningcontrollers.In the article ‘‘Output tracking of boolean control networkswith impulsive effects,’’ Li et al. discuss the output tracking ofBoolean control networks with impulsive effects (BCNs-IE).By constructing an auxiliary BCN-IE and using obtainedstable complex attractors, a necessary and sufficient conditionand an algorithm to design state feedback controllers for theoutput tracking problem are proposed.The article ‘‘Robust stability and stabilisation of delayedBoolean networks with disturbance,’’ by Jiang et al. considersa type of delayed Boolean networks (DBNs) affectedby disturbances. Using the semi-tensor product method,the robust stability of DBNs without control and the robuststabilization are considered. Several necessary and sufficientconditions are proposed.In the article ‘‘Event-triggered H∞ filtering for net-worked systems under hybrid probability deception attacks,’’Lu et al. consider the deception attacks of wide concern incyber-attacks and discuss the feasibility of H∞ filtering for anetworked system based on event-triggered mechanisms.The article ‘‘Static output feedback control for fuzzysystems with stochastic fading channel and actuator faults,’’by Chen et al. focuses on the issue of static output feedbackcontrol for Takagi–Sugeno fuzzy systems in the discrete-timeVOLUME 9, 2021 This work is licensed under a Creative Commons Attribution 4.0 License. For more information, see https://creativecommons.org/licenses/by/4.0/ 95083IEEE ACCESS SPECIAL SECTION EDITORIALdomain. Using the Lyapunov–Krasovskii function, sufficientconditions for calculating controller gains are established.In the article ‘‘Couple-group consensus for first orderdiscrete-time multiagent systems with competition-cooperation and input saturation constraints,’’ Han et al. dealwith the couple-group consensus for the first-order discrete-time systems with input saturation constraints. Based on theidea of competition and cooperation, a novel control protocolis proposed to achieve group consensus.The article ‘‘Further results on large-scale complex logicalnetworks,’’ by Liu et al. presents a brief survey on therecent efforts of dealing with large-scale logical networks(LNs), including their approximation, network aggregationapproach, and logical matrix factorization technique. Usingthe network aggregation approach, the stability of a large-scale version of network pairing problem and the topologicalstructure of large-scale probabilistic LNs are considered.In the article ‘‘Impulsive control via variable impul-sive perturbations on a generalized robust stability forCohen–Grossberg neural networks with mixed delays,’’Cao et al. propose an impulsive control strategy via variableimpulsive perturbations for robust stability with respect tomanifolds for a class of Cohen–Grossberg neural networkswith mixed delays and uncertain parameters. The resultsgeneralize and extend some known robust stability resultsconsidering stability with respect to manifolds rather thanisolated states.The article ‘‘A systematic analysis of link prediction incomplex network,’’ by Gul et al. gives a precise assessmentof prevail link mining approaches, develops a scientificsystem for interface expectation in complex organizations,and addresses various difficulties and techniques.In the article ‘‘Nonlinear PI control for high-order agentswith unknown high-frequency gain signs under switchingtopologies,’’ Wang proposes the nonlinear proportional-integral control algorithms for consensus of high-order agentswith unknown high-frequency gain signs (UHFGSs) inswitching topologies and investigates the output leaderlessconsensus of heterogeneous agents with UHFGSs.The article ‘‘Asynchronous control for Markov switchingLur’e systems with round-robin protocol,’’ by Luan et al.addresses the asynchronous control design problem fordiscrete-time Markov switching Lur’e systems (MSLSs).By adopting the round-robin protocol in scheduling theinformation exchange order, the mode-dependent stochasticLur’e type Lyapunov function is analyzed and severalsufficient criteria with prescribed performance are presentedto guarantee that the resulting discrete-time MSLSs arestochastically stable.The article ‘‘Exponential synchronization of partiallycoupled heterogeneous networks with time-delays andheterogeneous impulses,’’ by Feng et al. focuses onexponential synchronization for a class of partially coupledheterogeneous networks with time-delays and heterogeneousimpulses. The common equilibrium solution and the averagetrajectory are selected as the synchronization targets.Synchronization criteria are deduced by using Lyapunovfunction and comparison principle.In the second group, the article ‘‘A comprehensiveevaluation on variable sampling intervals of power batterysystem for electric vehicles,’’ by Yang et al. describes acomprehensive approach relevant to sampling intervals forfuture cloud-database controlling design. Diverse precisionand robustness investigations for various intervals are pre-sented and the content is verified based on informationentropy theory.In the article ‘‘Network opinion evolution model incorpo-rating the influence of media heterogeneity,’’ Luo et al. addthe role of social media users into the opinion interaction evo-lution model and consider the influence of its heterogeneityon the opinion evolution process and final state. Aiming tocharacterize information transmission with the participationof media users, an opinion dynamics model is proposed toreproduce a realistic process of opinion interaction betweenregular and media users.The article ‘‘Forecasting stock price based on frequencycomponents by EMD and neural networks,’’ by Shu andGao, proposes a novel hybrid model to predict stockprices. It combines empirical mode decomposition (EMD),convolutional neural network, and long short-term memory.In conclusion, the authors would like to thank the authorsfor submitting their high-quality research articles to thisSpecial Section. They highly appreciate the contributionsof the reviewers and their constructive comments andsuggestions. They also acknowledge the guidance from theIEEE ACCESS Editor-in-Chief and staff members.JIANQUAN LU, Lead EditorSchool of MathematicsSoutheast UniversityNanjing 210096, ChinaDANIEL W. C. HO, Guest EditorDepartment of MathematicsCity University of Hong KongHong Kong, ChinaTINGWEN HUANG, Guest EditorDepartment of ScienceTexas A&M University at QatarDoha, QatarJÜRGEN KURTHS, Guest EditorPotsdam Institute for Climate Impact Research14473 Potsdam, GermanyInstitute of PhysicsHumboldt University of Berlin12489 Berlin, GermanyLobachevsky University of Nizhny Novgorod603950 Nizhnij Novgorod, RussiaLJILJANA TRAJKOVIC, Guest EditorSchool of Engineering ScienceSimon Fraser UniversityBurnaby, BC V5A 1S6, Canada95084 VOLUME 9, 2021IEEE ACCESS SPECIAL SECTION EDITORIALJIANQUAN LU (SeniorMember, IEEE) received the B.S. degree in mathematics from ZhejiangNormal University, Zhejiang, China, in 2003, the M.S. degree in mathematics from SoutheastUniversity, Nanjing, China, in 2006, and the Ph.D. degree from the City University ofHong Kong, Hong Kong, in 2009.From 2010 to 2012, hewas anAlexander vonHumboldt Research Fellowwith PIK, Germany.He is currently a Professor at the School of Mathematics, Southeast University. His currentresearch interests include collective behavior in complex dynamical networks and multiagentsystems, logical networks, and hybrid systems. He has published over 100 articles in refereedinternational journals. He was named as a Highly Cited Researcher by Clarivate Analytics,in 2018, and he was elected as a Most Cited Chinese Researcher by Elsevier, from 2014 to2018. He was a recipient of an Alexander von Humboldt Fellowship, in 2010; the Program forNew Century Excellent Talents in University by the Ministry of Education, China, in 2010; theSecond Award of Jiangsu Provincial Progress in Science and Technology, as the First ProjectMember, in 2016; and the First Award of Jiangsu Provincial Progress in Science and Technology, as the Second ProjectMember, in 2010. He is an Associate Editor of Neural Processing Letters (Springer), Journal of Franklin Institute (Elsevier),and Neural Computing and Applications (Springer), and a Guest Editor of Science China: Information Sciences, Mathematicsand Computers in Simulation (Elsevier) and IET Control Theory & Applications.DANIEL W. C. HO (Fellow, IEEE) received the B.S., M.S., and Ph.D. degrees in mathematicsfrom the University of Salford, Salford, U.K., in 1980, 1982, and 1986, respectively.From 1985 to 1988, he was a Research Fellow with the Industrial Control Unit, University ofStrathclyde, Glasgow, U.K. In 1989, he joined the City University of Hong Kong, Hong Kong,where he is currently a Chair Professor of applied mathematics and an Associate Dean with theCollege of Science. He has over 250 publications in scientific journals. His current researchinterests include control and estimation theory, complex dynamical distributed networks,multiagent systems, and stochastic systems. He was a recipient of the Chang Jiang ChairProfessor awarded by the Ministry of Education, China, in 2012, and the ISI Highly CitedResearchers Award in Engineering by Clarivate Analytics, from 2014 to 2020. He has beenon the Editorial Board of a number of journals, including the IEEE TRANSACTIONS ON NEURALNETWORKS AND LEARNING SYSTEMS, IET Control Theory & Applications, the Journal of theFranklin Institute, and the Asian Journal of Control.TINGWEN HUANG (Fellow, IEEE) received the B.S. degree in mathematics from SouthwestUniversity, China, in 1990, the M.S. degree in applied mathematics from Sichuan University,China, in 1993, and the Ph.D. degree in applied mathematics from Texas A&M University,College Station, TX, in 2002.After graduating from Texas A&M University, he worked there as a Visiting AssistantProfessor. He later joined Texas A&MUniversity at Qatar (TAMUQ) as an Assistant Professor,in August 2003, and was promoted to a Professor, in 2013. His research interests includecomputational intelligence, smart grid, dynamical systems, optimization and control, andcybersecurity. He was named as a Highly Cited Researcher by Clarivate Analytics (formerlyThomson Reuters), in 2018. He received the Faculty Research Excellence Award from TexasA&M University at Qatar, in 2015. He is an Associate Editor of IEEE TRANSACTIONS ONCYBERNETICS, IEEETRANSACTIONSONNEURALNETWORKSANDLEARNING SYSTEMS, and Journalof Control and Decision.VOLUME 9, 2021 95085IEEE ACCESS SPECIAL SECTION EDITORIALJÜRGEN KURTHS received the B.S. degree in mathematics from the University of Rostock,Rostock, Germany, the Ph.D. degree from the Academy of Sciences of the German DemocraticRepublic, Berlin, Germany, in 1983, an Honorary degree from the N. I. Lobachevsky StateUniversity of Nizhny Novgorod, Nizhny Novgorod, Russia, in 2008, and an honorary degreefrom Saratov State University, Saratov, Russia, in 2012.He was a Full Professor with the University of Potsdam, Potsdam, Germany, from 1994 to2008. Since 2008, he has been a Professor of nonlinear dynamics with the Humboldt Universityof Berlin, Berlin, and the Chair of the research domain transdisciplinary concepts withthe Potsdam Institute for Climate Impact Research, Potsdam. Since 2009, he has been theSixth-Century Chair of the University of Aberdeen, Aberdeen, U.K. He became a member ofthe Academia Europaea, in 2010, the Macedonian Academy of Sciences and Arts, in 2012, andof the Royal Society of Edinburgh in 2021. He has authored over 680 articles, which are citedmore than 40 000 times (H-index: 104). His current research interests include synchronization,complex networks, time series analysis, and their applications.Dr. Kurths is a Fellow of the American Physical Society. He received the Alexander von Humboldt Research Award fromthe Council of Scientific and International Research, India, in 2015. He is named as an ISI Highly Cited Researcher in physicsand engineering by Thomson Reuters. He is the Editor-in-Chief of CHAOS.LJILJANA TRAJKOVIC (Life Fellow, IEEE) received the Dipl. Ing. degree from the Universityof Pristina, Yugoslavia, in 1974, the M.Sc. degree in electrical engineering and computerengineering from Syracuse University, Syracuse, NY, USA, in 1979 and 1981, respectively,and the Ph.D. degree in electrical engineering from the University of California at Los Angeles,in 1986.From 1995 to 1997, she was a National Science Foundation (NSF) Visiting Professorwith the Electrical Engineering and Computer Sciences Department, University of Californiaat Berkeley, Berkeley. She was a Research Scientist at Bell Communications Research,Morristown, NJ, USA, from 1990 to 1997, and a member of the Technical Staff at AT&T BellLaboratories, Murray Hill, NJ, from 1988 to 1990. She is currently a Professor with the Schoolof Engineering Science, Simon Fraser University, Burnaby, Canada. Her research interestsinclude communication networks, computer-aided circuit analysis and design, and nonlinearcircuits and dynamical systems.Dr. Trajkovic is a Professional Member of IEEE-HKN and a Distinguished Lecturer of the IEEE Systems, Man, andCybernetics Society, from 2020 to 2021, and the IEEE Circuits and Systems Society, from 2002 to 2003, 2010 to 2011, and2020 to 2021. She served as the IEEE Division X Delegate/Director, from 2019 to 2020 and the IEEE Division X Delegate-Elect/Director-Elect, in 2018. She served as the Senior Past President, from 2018 to 2019; the Junior Past President, from 2016 to2017; the President, from 2014 to 2015; the President-Elect, in 2013; the Vice President Publications, from 2010 to 2011 and2012 to 2013; the Vice President Long-Range Planning and Finance, from 2008 to 2009; and a Member at Large of the Boardof Governors of the IEEE Systems, Man, and Cybernetics Society, from 2004 to 2006. She served as the 2007 President ofthe IEEE Circuits and Systems Society and a member of its Board of Governors, from 2001 to 2003 and 2004 to 2005. Sheserved as the Chair of the IEEE Circuits and Systems Society Joint Chapter of the Vancouver/Victoria Sections, from 2001 to2021. She was the Chair of the IEEE Technical Committee on Nonlinear Circuits and Systems, in 1998. She was the GeneralCo-Chair of SMC 2020 and the General Co-Chair of SMC 2021, SMC 2020, SMC 2019, and SMC 2018 Workshops on BMISystems, SMC 2016, and HPSR 2014. She was the Special Sessions Co-Chair of SMC 2017, the Technical Program Chair ofSMC 2017 and SMC 2016 Workshops on BMI Systems, the Technical Program Co-Chair of ISCAS 2005, and the TechnicalProgram Chair and the Vice General Co-Chair of ISCAS 2004. She serves as the Editor-in-Chief for the IEEE TRANSACTIONS ONHUMAN-MACHINE SYSTEMS, from 2021 to 2023. She served as an Associate Editor for the IEEE TRANSACTIONS ON CIRCUITS ANDSYSTEMS—I: REGULAR PAPERS, from 1993 to 1995 and 2004 to 2005; the IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS—II:EXPRESS BRIEFS, in 2018 and from 1999 to 2001 and 2002 to 2003; and the IEEE Circuits and Systems Magazine, from2001 to 2003.95086 VOLUME 9, 2021

IEEE Access Special Section Editorial: Recent Advances on Hybrid Complex Networks: Analysis and Control

Jianquan Lu

Daniel W. C. Ho

Tingwen Huang

Jurgen Kurths

Ljiljana Trajkovic

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IEEE Access Special Section Editorial: Recent Advances on Hybrid Complex Networks: Analysis and Control

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