Wang, Hao; Ji, Zhijian; Liu, Yungang; Lin, Chong Leader-follower consensus of hybrid multiagent systems based on game. (English) Zbl 07816120 J. Franklin Inst. 361, No. 3, 1359-1370 (2024). MSC: 93A13 93D50 93A16 91A80 PDFBibTeX XMLCite \textit{H. Wang} et al., J. Franklin Inst. 361, No. 3, 1359--1370 (2024; Zbl 07816120) Full Text: DOI
Lv, Siyu; Xiong, Jie; Zhang, Xin Linear quadratic leader-follower stochastic differential games for mean-field switching diffusions. (English) Zbl 1520.91087 Automatica 154, Article ID 111072, 9 p. (2023). MSC: 91A65 91A15 91A05 49N10 49N70 PDFBibTeX XMLCite \textit{S. Lv} et al., Automatica 154, Article ID 111072, 9 p. (2023; Zbl 1520.91087) Full Text: DOI arXiv
Qiu, Zhenghong; Huang, Jianhui; Xie, Tinghan Linear-quadratic-Gaussian mean-field controls of social optima. (English) Zbl 1518.93158 Math. Control Relat. Fields 13, No. 1, 1-34 (2023). MSC: 93E20 49N10 91G10 PDFBibTeX XMLCite \textit{Z. Qiu} et al., Math. Control Relat. Fields 13, No. 1, 1--34 (2023; Zbl 1518.93158) Full Text: DOI arXiv
Chen, Yan; Li, Tao; Xin, Zhixian Risk-sensitive mean field games with major and minor players. (English) Zbl 1508.91032 ESAIM, Control Optim. Calc. Var. 29, Paper No. 6, 71 p. (2023). MSC: 91A16 49N80 PDFBibTeX XMLCite \textit{Y. Chen} et al., ESAIM, Control Optim. Calc. Var. 29, Paper No. 6, 71 p. (2023; Zbl 1508.91032) Full Text: DOI
Wang, Bing-Chang; Zhang, Huanshui; Fu, Minyue; Liang, Yong Decentralized strategies for finite population linear-quadratic-Gaussian games and teams. (English) Zbl 1507.93012 Automatica 148, Article ID 110789, 15 p. (2023). MSC: 93A14 91A16 49N80 60H30 PDFBibTeX XMLCite \textit{B.-C. Wang} et al., Automatica 148, Article ID 110789, 15 p. (2023; Zbl 1507.93012) Full Text: DOI arXiv
Zhao, Jin-Gang; Chen, Fang-Fang Off-policy integral reinforcement learning-based optimal tracking control for a class of nonzero-sum game systems with unknown dynamics. (English) Zbl 07754152 Optim. Control Appl. Methods 43, No. 6, 1623-1644 (2022). MSC: 93C10 93C15 68T05 91A80 PDFBibTeX XMLCite \textit{J.-G. Zhao} and \textit{F.-F. Chen}, Optim. Control Appl. Methods 43, No. 6, 1623--1644 (2022; Zbl 07754152) Full Text: DOI
Wang, Bing-Chang; Liang, Yong Robust mean field social control problems with applications in analysis of opinion dynamics. (English) Zbl 1505.91306 Int. J. Control 95, No. 12, 3309-3325 (2022). MSC: 91D30 49N80 49N10 PDFBibTeX XMLCite \textit{B.-C. Wang} and \textit{Y. Liang}, Int. J. Control 95, No. 12, 3309--3325 (2022; Zbl 1505.91306) Full Text: DOI arXiv
Wang, Bing-Chang; Zhang, Huanshui; Zhang, Ji-Feng Linear quadratic mean field social control with common noise: a directly decoupling method. (English) Zbl 1504.91021 Automatica 146, Article ID 110619, 14 p. (2022). MSC: 91A16 49N80 49N10 91A65 60H30 PDFBibTeX XMLCite \textit{B.-C. Wang} et al., Automatica 146, Article ID 110619, 14 p. (2022; Zbl 1504.91021) Full Text: DOI
Liang, Yong; Wang, Bing-Chang; Zhang, Huanshui Robust mean field linear quadratic social control: open-loop and closed-loop strategies. (English) Zbl 1494.49026 SIAM J. Control Optim. 60, No. 4, 2184-2213 (2022). MSC: 49N80 91A16 93E03 93E20 49N10 PDFBibTeX XMLCite \textit{Y. Liang} et al., SIAM J. Control Optim. 60, No. 4, 2184--2213 (2022; Zbl 1494.49026) Full Text: DOI
Li, Kaixuan; Liu, Qingshan; Zeng, Zhigang Quantized event-triggered communication based multi-agent system for distributed resource allocation optimization. (English) Zbl 07775836 Inf. Sci. 577, 336-352 (2021). MSC: 68T42 91B32 PDFBibTeX XMLCite \textit{K. Li} et al., Inf. Sci. 577, 336--352 (2021; Zbl 07775836) Full Text: DOI
Huang, Minyi; Yang, Xuwei Linear quadratic mean field games: decentralized \(O(1/N)\)-Nash equilibria. (English) Zbl 1480.91033 J. Syst. Sci. Complex. 34, No. 5, 2003-2035 (2021). MSC: 91A16 91A11 PDFBibTeX XMLCite \textit{M. Huang} and \textit{X. Yang}, J. Syst. Sci. Complex. 34, No. 5, 2003--2035 (2021; Zbl 1480.91033) Full Text: DOI arXiv
Chen, Fei; Ren, Wei Multi-agent control: a graph-theoretic perspective. (English) Zbl 1480.93376 J. Syst. Sci. Complex. 34, No. 5, 1973-2002 (2021). MSC: 93D50 93A16 05C90 91A43 93-02 PDFBibTeX XMLCite \textit{F. Chen} and \textit{W. Ren}, J. Syst. Sci. Complex. 34, No. 5, 1973--2002 (2021; Zbl 1480.93376) Full Text: DOI
Xu, Ruimin; Shi, Jingtao \(\varepsilon\)-Nash mean-field games for linear-quadratic systems with random jumps and applications. (English) Zbl 1471.91031 Int. J. Control 94, No. 5, 1415-1425 (2021). MSC: 91A16 91A25 49N10 49N80 PDFBibTeX XMLCite \textit{R. Xu} and \textit{J. Shi}, Int. J. Control 94, No. 5, 1415--1425 (2021; Zbl 1471.91031) Full Text: DOI
Huang, Jianhui; Wang, Bing-Chang; Xie, Tinghan Social optima in leader-follower mean field linear quadratic control. (English) Zbl 1467.91013 ESAIM, Control Optim. Calc. Var. 27, Suppl., Paper No. S12, 31 p. (2021). MSC: 91A16 91A65 49N80 49N10 PDFBibTeX XMLCite \textit{J. Huang} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. S12, 31 p. (2021; Zbl 1467.91013) Full Text: DOI arXiv
Xie, Tinghan; Wang, Bing-Chang; Huang, Jianhui Robust linear quadratic mean field social control: a direct approach. (English) Zbl 1467.49026 ESAIM, Control Optim. Calc. Var. 27, Paper No. 20, 19 p. (2021). MSC: 49N10 49N70 91A12 93E03 PDFBibTeX XMLCite \textit{T. Xie} et al., ESAIM, Control Optim. Calc. Var. 27, Paper No. 20, 19 p. (2021; Zbl 1467.49026) Full Text: DOI
Du, Kai; Huang, Jianhui; Wu, Zhen Relationship between backward and forward linear-quadratic mean-field-game with terminal constraint and optimal asset allocation for insurers and pension funds. (English) Zbl 1460.91220 Int. J. Control 94, No. 2, 336-350 (2021). MSC: 91G05 93E20 49N80 60H10 PDFBibTeX XMLCite \textit{K. Du} et al., Int. J. Control 94, No. 2, 336--350 (2021; Zbl 1460.91220) Full Text: DOI
Huang, Jianhui; Wang, Bing-Chang; Yong, Jiongmin Social optima in mean field linear-quadratic-Gaussian control with volatility uncertainty. (English) Zbl 1459.91013 SIAM J. Control Optim. 59, No. 2, 825-856 (2021). MSC: 91A16 49N80 60H10 93E20 PDFBibTeX XMLCite \textit{J. Huang} et al., SIAM J. Control Optim. 59, No. 2, 825--856 (2021; Zbl 1459.91013) Full Text: DOI arXiv
Peng, Zhinan; Hu, Jiangping; Zhao, Yiyi; Ghosh, Bijoy K. Understanding the mechanism of human-computer game: a distributed reinforcement learning perspective. (English) Zbl 1483.91015 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 15, 2837-2848 (2020). MSC: 91A10 91A35 93A16 68T07 PDFBibTeX XMLCite \textit{Z. Peng} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 51, No. 15, 2837--2848 (2020; Zbl 1483.91015) Full Text: DOI
Ma, Weijun; Luo, Xiaohu; Zhu, Quanxin Practical exponential stability of stochastic age-dependent capital system with Lévy noise. (English) Zbl 1454.91371 Syst. Control Lett. 144, Article ID 104759, 10 p. (2020). MSC: 91G99 93D23 93E15 60G51 PDFBibTeX XMLCite \textit{W. Ma} et al., Syst. Control Lett. 144, Article ID 104759, 10 p. (2020; Zbl 1454.91371) Full Text: DOI
Wang, Bing-Chang; Zhang, Huanshui; Zhang, Ji-Feng Mean field linear-quadratic control: uniform stabilization and social optimality. (English) Zbl 1448.91028 Automatica 121, Article ID 109088, 14 p. (2020). MSC: 91A16 49N10 49N80 93A16 93D05 60H10 PDFBibTeX XMLCite \textit{B.-C. Wang} et al., Automatica 121, Article ID 109088, 14 p. (2020; Zbl 1448.91028) Full Text: DOI arXiv
Ma, Yan; Huang, Minyi Linear quadratic mean field games with a major player: the multi-scale approach. (English) Zbl 1435.91025 Automatica 113, Article ID 108774, 11 p. (2020). MSC: 91A16 49N80 PDFBibTeX XMLCite \textit{Y. Ma} and \textit{M. Huang}, Automatica 113, Article ID 108774, 11 p. (2020; Zbl 1435.91025) Full Text: DOI arXiv
Moon, Jun; Başar, Tamer Risk-sensitive mean field games via the stochastic maximum principle. (English) Zbl 1431.91027 Dyn. Games Appl. 9, No. 4, 1100-1125 (2019). MSC: 91A16 91B05 60H10 93E20 PDFBibTeX XMLCite \textit{J. Moon} and \textit{T. Başar}, Dyn. Games Appl. 9, No. 4, 1100--1125 (2019; Zbl 1431.91027) Full Text: DOI
Wang, Bing-Chang; Ni, Yuan-Hua; Zhang, Huanshui Mean-field games for multiagent systems with multiplicative noises. (English) Zbl 1432.91020 Int. J. Robust Nonlinear Control 29, No. 17, 6081-6104 (2019). MSC: 91A16 93A16 49N80 PDFBibTeX XMLCite \textit{B.-C. Wang} et al., Int. J. Robust Nonlinear Control 29, No. 17, 6081--6104 (2019; Zbl 1432.91020) Full Text: DOI arXiv
Chen, Xiang; Huang, Minyi Linear-quadratic mean field control: the invariant subspace method. (English) Zbl 1429.93154 Automatica 107, 582-586 (2019). MSC: 93C15 49N10 49N80 91A16 PDFBibTeX XMLCite \textit{X. Chen} and \textit{M. Huang}, Automatica 107, 582--586 (2019; Zbl 1429.93154) Full Text: DOI
Lee, Myoung Hoon; Nguyen, Ngo Phong; Moon, Jun Leader-follower decentralized optimal control for large population hexarotors with tilted propellers: a Stackelberg game approach. (English) Zbl 1416.93009 J. Franklin Inst. 356, No. 12, 6175-6207 (2019). MSC: 93A14 93A13 91A65 93C85 49N90 PDFBibTeX XMLCite \textit{M. H. Lee} et al., J. Franklin Inst. 356, No. 12, 6175--6207 (2019; Zbl 1416.93009) Full Text: DOI
Yi, Peng; Pavel, Lacra An operator splitting approach for distributed generalized Nash equilibria computation. (English) Zbl 1411.91031 Automatica 102, 111-121 (2019). MSC: 91A10 91B54 68W15 90B10 91-04 PDFBibTeX XMLCite \textit{P. Yi} and \textit{L. Pavel}, Automatica 102, 111--121 (2019; Zbl 1411.91031) Full Text: DOI arXiv
Wang, Bingchang; Huang, Minyi Mean field production output control with sticky prices: Nash and social solutions. (English) Zbl 1411.91064 Automatica 100, 90-98 (2019). MSC: 91A15 91A23 91A10 91B24 49N90 PDFBibTeX XMLCite \textit{B. Wang} and \textit{M. Huang}, Automatica 100, 90--98 (2019; Zbl 1411.91064) Full Text: DOI arXiv
Du, Kai; Huang, Jianhui; Wu, Zhen Linear quadratic mean-field-game of backward stochastic differential systems. (English) Zbl 1416.93198 Math. Control Relat. Fields 8, No. 3-4, 653-678 (2018). MSC: 93E20 91A23 93E03 91A10 93E14 PDFBibTeX XMLCite \textit{K. Du} et al., Math. Control Relat. Fields 8, No. 3--4, 653--678 (2018; Zbl 1416.93198) Full Text: DOI
Moon, Jun; Başar, Tamer Linear quadratic mean field Stackelberg differential games. (English) Zbl 1420.91021 Automatica 97, 200-213 (2018). MSC: 91A23 93E20 91A65 91A15 60H10 49N70 91A10 PDFBibTeX XMLCite \textit{J. Moon} and \textit{T. Başar}, Automatica 97, 200--213 (2018; Zbl 1420.91021) Full Text: DOI
Aurell, Alexander Mean-field type games between two players driven by backward stochastic differential equations. (English) Zbl 1419.91062 Games 9, No. 4, Paper No. 88, 26 p. (2018). MSC: 91A15 91A23 91A05 91A10 91A12 60H10 93E20 PDFBibTeX XMLCite \textit{A. Aurell}, Games 9, No. 4, Paper No. 88, 26 p. (2018; Zbl 1419.91062) Full Text: DOI
Li, Zhipeng; Fu, Minyue; Zhang, Huanshui; Wu, Zongze Mean field stochastic linear quadratic games for continuum-parameterized multi-agent systems. (English) Zbl 1395.91032 J. Franklin Inst. 355, No. 12, 5240-5255 (2018). MSC: 91A15 91A23 93E20 93A14 49N10 68T42 PDFBibTeX XMLCite \textit{Z. Li} et al., J. Franklin Inst. 355, No. 12, 5240--5255 (2018; Zbl 1395.91032) Full Text: DOI
Hu, Ying; Huang, Jianhui; Nie, Tianyang Linear-quadratic-Gaussian mixed mean-field games with heterogeneous input constraints. (English) Zbl 1416.91040 SIAM J. Control Optim. 56, No. 4, 2835-2877 (2018). MSC: 91A23 91A15 60H10 91A10 93E20 PDFBibTeX XMLCite \textit{Y. Hu} et al., SIAM J. Control Optim. 56, No. 4, 2835--2877 (2018; Zbl 1416.91040) Full Text: DOI arXiv
Ceragioli, Francesca; Frasca, Paolo Consensus and disagreement: the role of quantized behaviors in opinion dynamics. (English) Zbl 1386.34087 SIAM J. Control Optim. 56, No. 2, 1058-1080 (2018). MSC: 34C60 34A36 34D20 91D10 34C05 34D05 PDFBibTeX XMLCite \textit{F. Ceragioli} and \textit{P. Frasca}, SIAM J. Control Optim. 56, No. 2, 1058--1080 (2018; Zbl 1386.34087) Full Text: DOI arXiv
Huang, Jianhui; Huang, Minyi Robust mean field linear-quadratic-Gaussian games with unknown \(L^2\)-disturbance. (English) Zbl 1414.91057 SIAM J. Control Optim. 55, No. 5, 2811-2840 (2017). MSC: 91A23 91A15 91A10 93A14 93B35 PDFBibTeX XMLCite \textit{J. Huang} and \textit{M. Huang}, SIAM J. Control Optim. 55, No. 5, 2811--2840 (2017; Zbl 1414.91057) Full Text: DOI arXiv
Huang, Jianhui; Wang, Shujun; Wu, Zhen Backward-forward linear-quadratic mean-field games with major and minor agents. (English) Zbl 1443.91044 Probab. Uncertain. Quant. Risk 1, Paper No. 8, 27 p. (2016). MSC: 91A16 60H10 PDFBibTeX XMLCite \textit{J. Huang} et al., Probab. Uncertain. Quant. Risk 1, Paper No. 8, 27 p. (2016; Zbl 1443.91044) Full Text: DOI
Huang, Minyi; Nguyen, Son Luu Mean field games for stochastic growth with relative utility. (English) Zbl 1359.90145 Appl. Math. Optim. 74, No. 3, 643-668 (2016). MSC: 90C39 91A25 91B62 93E20 PDFBibTeX XMLCite \textit{M. Huang} and \textit{S. L. Nguyen}, Appl. Math. Optim. 74, No. 3, 643--668 (2016; Zbl 1359.90145) Full Text: DOI
Moon, Jun; Başar, Tamer Robust mean field games for coupled Markov jump linear systems. (English) Zbl 1353.91006 Int. J. Control 89, No. 7, 1367-1381 (2016). MSC: 91A15 91A23 60J75 PDFBibTeX XMLCite \textit{J. Moon} and \textit{T. Başar}, Int. J. Control 89, No. 7, 1367--1381 (2016; Zbl 1353.91006) Full Text: DOI
Djehiche, Boualem; Huang, Minyi A characterization of sub-game perfect equilibria for SDEs of mean-field type. (English) Zbl 1348.91020 Dyn. Games Appl. 6, No. 1, 55-81 (2016). MSC: 91A07 91A23 49L20 49N70 93E20 PDFBibTeX XMLCite \textit{B. Djehiche} and \textit{M. Huang}, Dyn. Games Appl. 6, No. 1, 55--81 (2016; Zbl 1348.91020) Full Text: DOI arXiv
Bensoussan, A.; Sung, K. C. J.; Yam, S. C. P.; Yung, S. P. Linear-quadratic mean field games. (English) Zbl 1343.91010 J. Optim. Theory Appl. 169, No. 2, 496-529 (2016). MSC: 91A16 91A23 91A07 91A15 49N10 49N80 93E20 PDFBibTeX XMLCite \textit{A. Bensoussan} et al., J. Optim. Theory Appl. 169, No. 2, 496--529 (2016; Zbl 1343.91010) Full Text: DOI arXiv
Abedinpour Fallah, Mehdi; Malhamé, Roland P.; Martinelli, Francesco A class of interference induced games: asymptotic Nash equilibria and parameterized cooperative solutions. (English) Zbl 1338.93009 Automatica 69, 181-194 (2016). MSC: 93A14 68T42 49N90 91A10 PDFBibTeX XMLCite \textit{M. Abedinpour Fallah} et al., Automatica 69, 181--194 (2016; Zbl 1338.93009) Full Text: DOI
Priuli, Fabio S. Linear-quadratic \(N\)-person and mean-field games: infinite horizon games with discounted cost and singular limits. (English) Zbl 1348.91024 Dyn. Games Appl. 5, No. 3, 397-419 (2015). MSC: 91A15 91A23 91A10 91A06 91A07 49N10 93E20 PDFBibTeX XMLCite \textit{F. S. Priuli}, Dyn. Games Appl. 5, No. 3, 397--419 (2015; Zbl 1348.91024) Full Text: DOI arXiv
Gomes, Diogo A.; Saúde, João Mean field games models – a brief survey. (English) Zbl 1314.91048 Dyn. Games Appl. 4, No. 2, 110-154 (2014). MSC: 91A40 91A16 35Q89 91-02 PDFBibTeX XMLCite \textit{D. A. Gomes} and \textit{J. Saúde}, Dyn. Games Appl. 4, No. 2, 110--154 (2014; Zbl 1314.91048) Full Text: DOI
Li, Tao; Zhang, Ji-Feng Adaptive mean field games for large population coupled ARX systems with unknown coupling strength. (English) Zbl 1314.91045 Dyn. Games Appl. 3, No. 4, 489-507 (2013). MSC: 91A25 49N70 93C40 PDFBibTeX XMLCite \textit{T. Li} and \textit{J.-F. Zhang}, Dyn. Games Appl. 3, No. 4, 489--507 (2013; Zbl 1314.91045) Full Text: DOI
Huang, Minyi A mean field capital accumulation game with HARA utility. (English) Zbl 1314.91023 Dyn. Games Appl. 3, No. 4, 446-472 (2013). MSC: 91A15 91A25 91A40 91B62 PDFBibTeX XMLCite \textit{M. Huang}, Dyn. Games Appl. 3, No. 4, 446--472 (2013; Zbl 1314.91023) Full Text: DOI
Huang, Minyi Mean field stochastic games with discrete states and mixed players. (English) Zbl 1268.91018 Krishnamurthy, Vikram (ed.) et al., Game theory for networks. Third international ICST conference, GameNets 2012, Vancouver, Canada, May 24–26, 2012. Revised selected papers. Berlin: Springer (ISBN 978-3-642-35581-3/pbk; 978-3-642-35582-0/ebook). Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering 105, 138-151 (2012). MSC: 91A15 90C40 PDFBibTeX XMLCite \textit{M. Huang}, Lect. Notes Comput. Sci. Soc.-Inform. Telecommun. Eng. 105, 138--151 (2012; Zbl 1268.91018) Full Text: DOI