{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T13:14:48Z","timestamp":1723036488664},"reference-count":35,"publisher":"MDPI AG","issue":"12","license":[{"start":{"date-parts":[[2021,11,30]],"date-time":"2021-11-30T00:00:00Z","timestamp":1638230400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"Fixed-time synchronization problem for delayed dynamical complex networks is explored in this paper. Compared with some correspondingly existed results, a few new results are obtained to guarantee fixed-time synchronization of delayed dynamical networks model. Moreover, by designing adaptive controller and discontinuous feedback controller, fixed-time synchronization can be realized through regulating the main control parameter. Additionally, a new theorem for fixed-time synchronization is used to reduce the conservatism of the existing work in terms of conditions and the estimate of synchronization time. In particular, we obtain some fixed-time synchronization criteria for a type of coupled delayed neural networks. Finally, the analysis and comparison of the proposed controllers are given to demonstrate the validness of the derived results from one numerical example.<\/jats:p>","DOI":"10.3390\/e23121610","type":"journal-article","created":{"date-parts":[[2021,12,1]],"date-time":"2021-12-01T01:29:27Z","timestamp":1638322167000},"page":"1610","source":"Crossref","is-referenced-by-count":5,"title":["Fixed-Time Synchronization Control of Delayed Dynamical Complex Networks"],"prefix":"10.3390","volume":"23","author":[{"ORCID":"http:\/\/orcid.org\/0000-0002-2130-0614","authenticated-orcid":false,"given":"Mei","family":"Liu","sequence":"first","affiliation":[{"name":"School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China"}]},{"given":"Binglong","family":"Lu","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China"}]},{"given":"Zhanfeng","family":"Li","sequence":"additional","affiliation":[{"name":"School of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China"}]},{"given":"Haijun","family":"Jiang","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China"}]},{"given":"Cheng","family":"Hu","sequence":"additional","affiliation":[{"name":"College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,11,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Chua, L., and Roska, T. (2002). Cellular Neural Networks and Visual Computing: Foundation and Applications, Cambridge University Press.","DOI":"10.1017\/CBO9780511754494"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Zhang, X., Zhou, Y., Wang, J., and Lu, X. (2021). Personal interest attention graph neural networks for session-based recommendation. Entropy, 23.","DOI":"10.3390\/e23111500"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1145\/316194.316229","article-title":"On power-law relationships of the Interact topology","volume":"29","author":"Faloutsos","year":"1999","journal-title":"Comput. Commun. Rev."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"066107","DOI":"10.1103\/PhysRevE.73.066107","article-title":"Structural properties of planar graph of urban street patterns","volume":"73","author":"Cardillo","year":"2006","journal-title":"Phys. Rev. E"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"016131","DOI":"10.1103\/PhysRevE.64.016131","article-title":"Scientific collaboration networks I: Network construction and fundamental results","volume":"64","author":"Newman","year":"2001","journal-title":"Phys. Rev. E"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1038\/ng873","article-title":"Topological and causal structure of the yeast transcriptional regulatory network","volume":"31","author":"Guelzim","year":"2002","journal-title":"Nat. Genet."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"1447","DOI":"10.1109\/LRA.2019.2897145","article-title":"Improved human-robot collaborative control of redundant robot for teleoperated minimally invasive surgery","volume":"4","author":"Su","year":"2019","journal-title":"IEEE Robot. Autom. Lett."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"6039","DOI":"10.1109\/LRA.2021.3089999","article-title":"Multi-sensor guided hand gestures recognition for teleoperated robot using recurrent neural network","volume":"6","author":"Qi","year":"2021","journal-title":"IEEE Robot. Autom. Lett."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"414","DOI":"10.1109\/THMS.2020.2984181","article-title":"A smartphone-based adaptive recognition and real-time monitoring system for human activities","volume":"50","author":"Qi","year":"2020","journal-title":"IEEE Trans. Hum.-Mach. Syst."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Ruan, X., Ma, L., Zhang, Y., Wang, Q., and Gao, X. (2021). Dissection of the complex transcription and metabolism regulation networks associated with maize resistance to ustilago maydis. Entropy, 12.","DOI":"10.3390\/genes12111789"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"102","DOI":"10.1038\/scientificamerican1293-102","article-title":"Coupled oscillators and biological synchronization","volume":"269","author":"Strogatz","year":"1993","journal-title":"Sci. Am."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1007\/BF00962716","article-title":"Synchronous oscillations in neuronal systems: Mechanisms and functions","volume":"1","author":"Gray","year":"1994","journal-title":"J. Comput. Neurosci."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1177\/0748730405275653","article-title":"Synchronizing genetic oscillators by signaling molecules","volume":"20","author":"Wang","year":"2005","journal-title":"J. Biol. Rhythm."},{"key":"ref_14","doi-asserted-by":"crossref","unstructured":"Hu, C., He, H., and Jiang, H. (2021). Edge-based adaptive distributed method for synchronization of intermittently coupled spatiotemporal networks. IEEE Trans. Autom. Control.","DOI":"10.1109\/TAC.2021.3088805"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"421","DOI":"10.1002\/rnc.4776","article-title":"Pinning synchronization of complex delayed dynamical networks via generalized intermittent adaptive control strategy","volume":"30","author":"Liu","year":"2020","journal-title":"Int. J. Robust Nonlinear Control"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"2722","DOI":"10.1016\/j.jfranklin.2016.05.012","article-title":"Synchronization of hybrid-coupled delayed dynamical networks via aperiodically intermittent pinning control","volume":"353","author":"Liu","year":"2016","journal-title":"J. Frankl. Inst."},{"key":"ref_17","first-page":"100","article-title":"Adaptive synchronization of memristor-based BAM neural networks with mixed delays","volume":"322","author":"Chen","year":"2018","journal-title":"Appl. Math. Comput."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"9928","DOI":"10.1016\/j.jfranklin.2019.09.015","article-title":"Finite\/fixed-time synchronization control of coupled memristive neural networks","volume":"356","author":"Li","year":"2019","journal-title":"J. Frankl. Inst."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"4665","DOI":"10.1016\/j.jfranklin.2018.04.026","article-title":"Finite-time and fixed-time synchronization of discontinuous complex networks: A unified control framework design","volume":"355","author":"Ji","year":"2018","journal-title":"J. Frankl. Inst."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.neucom.2018.04.009","article-title":"Aperiodically intermittent strategy for finite-time synchronization of delayed neural networks","volume":"310","author":"Liu","year":"2018","journal-title":"Neurocomputing"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"5374","DOI":"10.1016\/j.jfranklin.2017.05.030","article-title":"Finite-time synchronization of delayed dynamical networks via aperiodically intermittent control","volume":"354","author":"Liu","year":"2017","journal-title":"J. Frankl. Inst."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"2106","DOI":"10.1109\/TAC.2011.2179869","article-title":"Nonlinear feedback design for fixed-time stabilization of linear control systems","volume":"57","author":"Polyakov","year":"2012","journal-title":"IEEE Trans. Autom. Control"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.neunet.2019.11.012","article-title":"Finite-time and fixed-time anti-synchronization of Markovian neural networks with stochastic disturbances via switching control","volume":"123","author":"Wan","year":"2020","journal-title":"Neural Netw."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"8626","DOI":"10.1016\/j.jfranklin.2017.09.036","article-title":"Fixed-time stability and stabilization of impulsive dynamical systems","volume":"354","author":"Li","year":"2017","journal-title":"J. Frankl. Inst."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/j.isatra.2019.01.032","article-title":"Fixed-time synchronization criteria for complex networks via quantized pinning control","volume":"91","author":"Zhang","year":"2019","journal-title":"ISA Trans."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"110993","DOI":"10.1016\/j.chaos.2021.110993","article-title":"Fixed-time synchronization of coupled memristive complex-valued neural networks","volume":"148","author":"Feng","year":"2021","journal-title":"Chaos Solitons Fractals"},{"key":"ref_27","first-page":"1","article-title":"Special functions-based fixed-time estimation and stabilization for dynamic systems","volume":"99","author":"Hu","year":"2021","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"2031","DOI":"10.1007\/s11071-018-4675-2","article-title":"Global synchronization in fixed time for semi-Markovian switching complex dynamical networks with hybrid couplings and time-varying delays","volume":"95","author":"Wang","year":"2019","journal-title":"Nonlinear Dyn."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"032201","DOI":"10.1007\/s11432-016-0555-2","article-title":"Fixed-time synchronization of delayed memristor-based recurrent neural networks","volume":"03","author":"Cao","year":"2017","journal-title":"Sci. China Inf. Sci."},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/j.neunet.2018.10.011","article-title":"Fixed-time synchronization of inertial memristor-based neural networks with discrete delay","volume":"109","author":"Chen","year":"2019","journal-title":"Neural Netw."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1016\/j.neunet.2016.12.006","article-title":"Controller design for global fixed-time synchronization of delayed neural networks with discontinuous activations","volume":"87","author":"Wang","year":"2017","journal-title":"Neural Netw."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"2882","DOI":"10.1109\/TCYB.2020.2977934","article-title":"Fixed\/preassigned-time synchronization of complex networks via improving fixed-time stability","volume":"51","author":"Hu","year":"2021","journal-title":"IEEE Trans. Cybern."},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"295","DOI":"10.1007\/s11071-014-1869-0","article-title":"Pinning synchronization for directed networks with node balance via adaptive intermittent control","volume":"80","author":"Hu","year":"2015","journal-title":"Nonlinear Dyn."},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"2062","DOI":"10.1002\/asjc.1577","article-title":"Synchronization of complex networks with coupled and self-feedback delays via aperiodically intermittent strategy","volume":"19","author":"Liu","year":"2017","journal-title":"Asian J. Control"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"2944","DOI":"10.1109\/TCYB.2019.2953236","article-title":"Finite-time and fixed-time synchronization of coupled memristive neural networks with time delay","volume":"51","author":"Gong","year":"2021","journal-title":"IEEE Trans. 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