{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,10]],"date-time":"2026-04-10T20:43:32Z","timestamp":1775853812695,"version":"3.50.1"},"reference-count":40,"publisher":"Springer Science and Business Media LLC","issue":"12","license":[{"start":{"date-parts":[[2023,11,27]],"date-time":"2023-11-27T00:00:00Z","timestamp":1701043200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,11,27]],"date-time":"2023-11-27T00:00:00Z","timestamp":1701043200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Sci. China Inf. Sci."],"published-print":{"date-parts":[[2023,12]]},"DOI":"10.1007\/s11432-023-3829-7","type":"journal-article","created":{"date-parts":[[2023,12,2]],"date-time":"2023-12-02T10:02:01Z","timestamp":1701511321000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":14,"title":["Controllability of game-based multi-agent system"],"prefix":"10.1007","volume":"66","author":[{"given":"Junhao","family":"Guo","sequence":"first","affiliation":[]},{"given":"Zhijian","family":"Ji","sequence":"additional","affiliation":[]},{"given":"Yungang","family":"Liu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,11,27]]},"reference":[{"key":"3829_CR1","doi-asserted-by":"publisher","first-page":"1840","DOI":"10.1002\/rnc.4462","volume":"29","author":"J Ma","year":"2019","unstructured":"Ma J, Ye M, Zheng Y, et al. Consensus analysis of hybrid multiagent systems: a game-theoretic approach. Int J Robust Nonlinear Control, 2019, 29: 1840\u20131853","journal-title":"Int J Robust Nonlinear Control"},{"key":"3829_CR2","doi-asserted-by":"publisher","first-page":"230","DOI":"10.1109\/JSTSP.2013.2246511","volume":"7","author":"N Li","year":"2013","unstructured":"Li N, Marden J R. Designing games for distributed optimization. IEEE J Sel Top Signal Process, 2013, 7: 230\u2013242","journal-title":"IEEE J Sel Top Signal Process"},{"key":"3829_CR3","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511754258","volume-title":"Designing Economic Mechanisms","author":"L Hurwicz","year":"2006","unstructured":"Hurwicz L, Reiter S. Designing Economic Mechanisms. 3rd ed. Cambridge: Cambridge University Press. 2006","edition":"3"},{"key":"3829_CR4","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511760778","volume-title":"Network Security: A Decision and Game Theoretic Approach","author":"T Alpcan","year":"2010","unstructured":"Alpcan T, Basar T. Network Security: A Decision and Game Theoretic Approach. Cambridge: Cambridge University Press, 2010"},{"key":"3829_CR5","doi-asserted-by":"crossref","unstructured":"Marden R, Wierman A. Overcoming limitations of game-theoretic distributed control. In: Proceedings of Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai, 2009. 6466\u20136471","DOI":"10.1109\/CDC.2009.5400550"},{"key":"3829_CR6","first-page":"861","volume-title":"Handbook of Game Theory with Economic Application","author":"J Marden","year":"2015","unstructured":"Marden J, Shamma J. Game theory and distributed control. In: Handbook of Game Theory with Economic Application. New York: Elsevier, 2015. 861\u2013899"},{"key":"3829_CR7","doi-asserted-by":"publisher","first-page":"4180","DOI":"10.1109\/TAC.2019.2893150","volume":"64","author":"R R Zhang","year":"2019","unstructured":"Zhang R R, Guo L. Controllability of Nash equilibrium in game-based control systems. IEEE Trans Automat Contr, 2019, 64: 4180\u20134187","journal-title":"IEEE Trans Automat Contr"},{"key":"3829_CR8","doi-asserted-by":"publisher","first-page":"1338","DOI":"10.1109\/TSMC.2018.2852277","volume":"49","author":"J Xi","year":"2019","unstructured":"Xi J, Wang C, Liu H, et al. Completely distributed guaranteed-performance consensualization for high-order multiagent systems with switching topologies. IEEE Trans Syst Man Cybern Syst, 2019, 49: 1338\u20131348","journal-title":"IEEE Trans Syst Man Cybern Syst"},{"key":"3829_CR9","doi-asserted-by":"publisher","first-page":"274","DOI":"10.1016\/j.cja.2021.10.035","volume":"35","author":"J Jin","year":"2022","unstructured":"Jin J, Li J, Qin D, et al. Output formation tracking for networked systems with limited energy and aperiodic silence. Chin J Aeronautics, 2022, 35: 274\u2013288","journal-title":"Chin J Aeronautics"},{"key":"3829_CR10","doi-asserted-by":"publisher","first-page":"6330","DOI":"10.1002\/rnc.6140","volume":"32","author":"J Guo","year":"2022","unstructured":"Guo J, Ji Z, Liu Y, et al. Unified understanding and new results of controllability model of multi-agent systems. Intl J Robust Nonlinear, 2022, 32: 6330\u20136345","journal-title":"Intl J Robust Nonlinear"},{"key":"3829_CR11","doi-asserted-by":"publisher","first-page":"2857","DOI":"10.1016\/j.automatica.2009.09.002","volume":"45","author":"Z Ji","year":"2009","unstructured":"Ji Z, Wang Z, Lin H, et al. Interconnection topologies for multi-agent coordination under leader-follower framework. Automatica, 2009, 45: 2857\u20132863","journal-title":"Automatica"},{"key":"3829_CR12","doi-asserted-by":"publisher","first-page":"110404","DOI":"10.1016\/j.automatica.2022.110404","volume":"142","author":"Z Lu","year":"2022","unstructured":"Lu Z, Zhang Z, Ji Z. Strong targeted controllability of multi-agent systems with time-varying topologies over finite fields. Automatica, 2022, 142: 110404","journal-title":"Automatica"},{"key":"3829_CR13","doi-asserted-by":"publisher","first-page":"1471","DOI":"10.1109\/TCYB.2016.2549034","volume":"47","author":"Z Ji","year":"2017","unstructured":"Ji Z, Yu H. A new perspective to graphical characterization of multiagent controllability. IEEE Trans Cybern, 2017, 47: 1471\u20131483","journal-title":"IEEE Trans Cybern"},{"key":"3829_CR14","first-page":"3440","volume":"69","author":"K Liu","year":"2022","unstructured":"Liu K, Ji Z. Dynamic event-triggered consensus of general linear multi-agent systems with adaptive strategy. IEEE Trans Circuits Syst II, 2022, 69: 3440\u20133444","journal-title":"IEEE Trans Circuits Syst II"},{"key":"3829_CR15","doi-asserted-by":"publisher","first-page":"781","DOI":"10.1109\/TAC.2014.2335971","volume":"60","author":"Z Ji","year":"2015","unstructured":"Ji Z, Lin H, Yu H. Protocols design and uncontrollable topologies construction for multi-agent networks. IEEE Trans Automat Contr, 2015, 60: 781\u2013786","journal-title":"IEEE Trans Automat Contr"},{"key":"3829_CR16","doi-asserted-by":"publisher","first-page":"878","DOI":"10.1109\/TCNS.2019.2951665","volume":"7","author":"C O Aguilar","year":"2020","unstructured":"Aguilar C O. Strongly uncontrollable network topologies. IEEE Trans Control Netw Syst, 2020, 7: 878\u2013886","journal-title":"IEEE Trans Control Netw Syst"},{"key":"3829_CR17","doi-asserted-by":"publisher","first-page":"296","DOI":"10.1002\/rnc.3870","volume":"28","author":"X Liu","year":"2018","unstructured":"Liu X, Ji Z. Controllability of multiagent systems based on path and cycle graphs. Int J Robust Nonlinear Control, 2018, 28: 296\u2013309","journal-title":"Int J Robust Nonlinear Control"},{"key":"3829_CR18","doi-asserted-by":"publisher","first-page":"665","DOI":"10.1016\/j.ejc.2005.03.006","volume":"28","author":"D M Cardoso","year":"2007","unstructured":"Cardoso D M, Delorme C, Rama P. Laplacian eigenvectors and eigenvalues and almost equitable partitions. Eur J Combin, 2007, 28: 665\u2013673","journal-title":"Eur J Combin"},{"key":"3829_CR19","volume-title":"Graduate Texts in Mathematics","author":"C Royle","year":"2001","unstructured":"Royle C. Graduate Texts in Mathematics. Berlin: Springer, 2001"},{"key":"3829_CR20","doi-asserted-by":"publisher","first-page":"918","DOI":"10.1016\/j.sysconle.2012.06.003","volume":"61","author":"Z Ji","year":"2012","unstructured":"Ji Z, Lin H, Yu H. Leaders in multi-agent controllability under consensus algorithm and tree topology. Syst Control Lett, 2012, 61: 918\u2013925","journal-title":"Syst Control Lett"},{"key":"3829_CR21","doi-asserted-by":"crossref","unstructured":"Aguilar O, Gharesifard B. On almost equitable partitions and network controllability. In: Proceedings of American Control Conference (ACC), Boston, 2016. 179\u2013184","DOI":"10.1109\/ACC.2016.7524912"},{"key":"3829_CR22","doi-asserted-by":"publisher","first-page":"2360","DOI":"10.1080\/00207179.2016.1157899","volume":"89","author":"K Liu","year":"2016","unstructured":"Liu K, Ji Z, Xie G, et al. Event-based broadcasting containment control for multi-agent systems under directed topology. Int J Control, 2016, 89: 2360\u20132370","journal-title":"Int J Control"},{"key":"3829_CR23","doi-asserted-by":"publisher","first-page":"4661","DOI":"10.1109\/TCYB.2020.3004851","volume":"51","author":"J Qu","year":"2021","unstructured":"Qu J, Ji Z, Shi Y. The graphical conditions for controllability of multiagent systems under equitable partition. IEEE Trans Cybern, 2021, 51: 4661\u20134672","journal-title":"IEEE Trans Cybern"},{"key":"3829_CR24","doi-asserted-by":"publisher","first-page":"502","DOI":"10.1038\/nature04605","volume":"441","author":"H Ohtsuki","year":"2006","unstructured":"Ohtsuki H, Hauert C, Lieberman E, et al. A simple rule for the evolution of cooperation on graphs and social networks. Nature, 2006, 441: 502\u2013505","journal-title":"Nature"},{"key":"3829_CR25","doi-asserted-by":"publisher","first-page":"2259","DOI":"10.1038\/s41467-020-16088-w","volume":"11","author":"A Li","year":"2020","unstructured":"Li A, Zhou L, Su Q, et al. Evolution of cooperation on temporal networks. Nat Commun, 2020, 11: 2259","journal-title":"Nat Commun"},{"key":"3829_CR26","doi-asserted-by":"publisher","first-page":"200","DOI":"10.1016\/j.automatica.2016.07.005","volume":"73","author":"J Ma","year":"2016","unstructured":"Ma J, Zheng Y, Wu B, et al. Equilibrium topology of multi-agent systems with two leaders: a zero-sum game perspective. Automatica, 2016, 73: 200\u2013206","journal-title":"Automatica"},{"key":"3829_CR27","doi-asserted-by":"publisher","first-page":"4956","DOI":"10.1109\/TIE.2017.2674625","volume":"64","author":"J Ma","year":"2017","unstructured":"Ma J, Zheng Y, Wang L. Nash equilibrium topology of multi-agent systems with competitive groups. IEEE Trans Ind Electron, 2017, 64: 4956\u20134966","journal-title":"IEEE Trans Ind Electron"},{"key":"3829_CR28","doi-asserted-by":"crossref","unstructured":"Ma J, Zhang Y, Wang L. Optimal topology selection for leader-following multi-agent systems with opposite leaders. In: Proceedings of the 34th Chinese Control Conference (CCC), 2015. 7344\u20137349","DOI":"10.1109\/ChiCC.2015.7260803"},{"key":"3829_CR29","doi-asserted-by":"publisher","first-page":"3075","DOI":"10.1016\/j.automatica.2012.08.037","volume":"48","author":"J R Marden","year":"2012","unstructured":"Marden J R. State based potential games. Automatica, 2012, 48: 3075\u20133088","journal-title":"Automatica"},{"key":"3829_CR30","doi-asserted-by":"publisher","first-page":"423","DOI":"10.1109\/TCNS.2016.2617622","volume":"5","author":"R Kamalapurkar","year":"2018","unstructured":"Kamalapurkar R, Klotz J R, Walters P, et al. Model-based reinforcement learning in differential graphical games. IEEE Trans Control Netw Syst, 2018, 5: 423\u2013433","journal-title":"IEEE Trans Control Netw Syst"},{"key":"3829_CR31","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511811654","volume-title":"Multiagent Systems: Algorithmic, Game-Theoretic and Logical Foundations","author":"Y Shoham","year":"2008","unstructured":"Shoham Y, Leyton-Brown K. Multiagent Systems: Algorithmic, Game-Theoretic and Logical Foundations. New York: Cambridge University Press, 2008"},{"key":"3829_CR32","doi-asserted-by":"publisher","first-page":"787","DOI":"10.1007\/978-3-540-71493-4_85","volume-title":"Hybrid Systems: Computation and Control","author":"M Zavlanos","year":"2007","unstructured":"Zavlanos M, Pappas J. Distributed hybrid control for multiple-pursuer multiple-evader games. In: Hybrid Systems: Computation and Control. Berlin: Springer, 2007. 787\u2013789"},{"key":"3829_CR33","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1142\/S0219198910002489","volume":"21","author":"D Stipanovic","year":"2010","unstructured":"Stipanovic D, Melikyan A, Hovakimyan N. Guaranteed strategies for nonlinear multi-player pursuit-evasion games. International Game Theory Rev, 2010, 21: 1\u201317","journal-title":"International Game Theory Rev"},{"key":"3829_CR34","unstructured":"Li D, Cruz J. Graph-based strategies for multi-player pursuit evasion games. In: Proceedings of the 46th IEEE Conference on Decision and Control, New Orleans, 2007. 3004\u20133009"},{"key":"3829_CR35","doi-asserted-by":"publisher","first-page":"1911","DOI":"10.1109\/TAC.2019.2926554","volume":"65","author":"V G Lopez","year":"2020","unstructured":"Lopez V G, Lewis F L, Wan Y, et al. Solutions for multiagent pursuit-evasion games on communication graphs: finite-time capture and asymptotic behaviors. IEEE Trans Automat Contr, 2020, 65: 1911\u20131923","journal-title":"IEEE Trans Automat Contr"},{"key":"3829_CR36","doi-asserted-by":"publisher","first-page":"159","DOI":"10.1287\/mnsc.14.3.159","volume":"14","author":"J C Harsanyi","year":"1967","unstructured":"Harsanyi J C. Games with incomplete information played by \u201cBayesian\u201d players, I-III Part I. The basic model. Manage Sci, 1967, 14: 159\u2013182","journal-title":"Manage Sci"},{"key":"3829_CR37","doi-asserted-by":"publisher","first-page":"1028","DOI":"10.1109\/TCNS.2019.2927201","volume":"7","author":"V G Lopez","year":"2020","unstructured":"Lopez V G, Wan Y, Lewis F L. Bayesian graphical games for synchronization in networks of dynamical systems. IEEE Trans Control Netw Syst, 2020, 7: 1028\u20131039","journal-title":"IEEE Trans Control Netw Syst"},{"key":"3829_CR38","doi-asserted-by":"publisher","first-page":"104855","DOI":"10.1016\/j.sysconle.2020.104855","volume":"148","author":"M Pirani","year":"2021","unstructured":"Pirani M, Taylor J A, Sinopoli B. Strategic sensor placement on graphs. Syst Control Lett, 2021, 148: 104855","journal-title":"Syst Control Lett"},{"key":"3829_CR39","volume-title":"LQ Dynamic Optimization and Differential Games","author":"J Engwerda","year":"2005","unstructured":"Engwerda J. LQ Dynamic Optimization and Differential Games. New York: Wiley, 2005"},{"key":"3829_CR40","doi-asserted-by":"publisher","first-page":"132204","DOI":"10.1007\/s11432-020-3159-9","volume":"65","author":"J H Guo","year":"2022","unstructured":"Guo J H, Ji Z J, Liu Y G. Sufficient conditions and limitations of equivalent partition in multiagent controllability. Sci China Inf Sci, 2022, 65: 132204","journal-title":"Sci China Inf Sci"}],"container-title":["Science China Information Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-023-3829-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s11432-023-3829-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s11432-023-3829-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,18]],"date-time":"2025-01-18T20:47:40Z","timestamp":1737233260000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s11432-023-3829-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,11,27]]},"references-count":40,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2023,12]]}},"alternative-id":["3829"],"URL":"https:\/\/doi.org\/10.1007\/s11432-023-3829-7","relation":{},"ISSN":["1674-733X","1869-1919"],"issn-type":[{"value":"1674-733X","type":"print"},{"value":"1869-1919","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,11,27]]},"assertion":[{"value":"28 April 2023","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 May 2023","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"7 June 2023","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"27 November 2023","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}],"article-number":"222206"}}