李慧娟, 女,1985年07月生,内蒙古扎兰屯人,2015年03月获得博士学位。主要从事微分方程定性理论,Lyapunov函数的构造及计算,控制Lyapunov函数的构造等研究。2016-2017年入选太阳成集团的官方网站“地大学者”。
Email: huijuanhongyan@gmail.com
教育工作经历
2016/01至今,中国地质大学(武汉 ) suncitygroup太阳新城 讲师;
2015/06至2016/12,中国地质大学(武汉 ) suncitygroup太阳新城 助教;
2013/09至2014/03,罗马大学(Uni Rome Sapienza,意大利)机械电子学院, 访问学者;
2014/01/04至2014/01/27,纽卡斯尔大学(Uni Newcastle,澳大利亚)机械电子学院 访问学者 ;
2011/10至2012/09,维尔兹堡大学(Uni Wuerzburg,德国)应用数学系 学习
2011/10至2014/09,获居里夫人奖学金攻读博士学位——课题:确定性控制设计的灵敏性分析(Marie Curie Initial Training Networks SADCO-Sensitivity Analysis via Coupled Hamilton Jacobi equations supported bythe European Unionunder the 7th Framework Programme);
2011/10至2015/03, 德国拜罗伊特大学(Uni Bayreuth),应用数学,博士;
2008/09至2011/06, 太阳成集团的官方网站,应用数学,硕士;
2004/09至2008/06, 太阳成集团的官方网站,数学与应用数学,硕士;
科研项目
(1)国家自然科学基金青年基金项目(Finite-time Lyapunov 函数和耦合系统的稳定性分析)NSFC11701533,主持, 2018/01/01-2020/12/31;
(2)国家自然科学基金面上项目(高维复杂非线性系统的隐藏混沌与超混沌吸引子的理论研究及应用)NSFC11772306,参与(排名第二)2018/01/01-2020/12/31;
学术专著
李慧娟,Lyapunov函数的计算和动力系统稳定性分析(英文),太阳成集团的官方网站出版社,2018年
期刊论文
(1)Huijuan Li, Anping Liu, Linli Zhang,.Input-to-state stability of time-varying nonlinear
discrete-time systems via indefinite difference Lyapunov functions, ISA Transactions77
(2018) 71–76
(2)Huijuan Li,Anping Liu. Computation of non-monotonic Lyapunov
functions for continuous-time systems,Communications in Nonlinear Science
and Numerical Simulation,2017.02.24,50:35~50
(3)S. Hafstein,H.Li. Computation of Lyapunov functions for nonautonomous systems on finite time-intervals by linear programming,Journal of Mathematical Analysis and Application,447 (2017) 933–950.
(4)H. Li, L. Grüne. Computation of local ISS Lyapunov functions for discrete-time systems via
linear programming,Journal of Mathematical Analysis and Applications,438 (2016)
701–719.
(5)H. Li, R. Baier, L. Grüne, S. F. Hafstein, F. Wirth. Computation of local ISS Lyapunov functions with low gains via linear programming ,Discrete and Continuous Dynamical Systems– Series B20(8) 2477-2495, 2015.
(6)H. Li, S. Hafstein, C.M. Kellett. Computation of continuous and piecewise affine Lyapunov functions for discrete-time systems,Journal of Difference Equations and Applications, (21)486-511, 2015.
(7)Huijuan Li, Anping Liu, Zutao Hao. Existence for periodic solutions of a ratio-dependent predator-prey system with time-varying delays on time scales,Analysis and Applications, 8(3) (2010), 227-233 (SCI: 623GT) (Impactor Factor: 1.5).
会议论文
(1)H. Li, S. Hafstein, C. M. Kellett.Computation of Lyapunov functions for discrete-time systems using the Yoshizawa construction,2014 IEEE 53rd Annual Conference on Decision and Control (CDC 2014), Los Angeles, CA, USA, December 15-17, 2014.
(2)H. Li,R. Baier, L. Grüne, S. F. Hafstein, F.Wirth.Computation of local ISS Lyapunov functions via linear programming,Proceedings of the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014),Groningen, The Netherlands,July 7-11,2014, 7 pages.
(3) S. Hafstein, C. M. Kellett,H. Li.Continuous and piecewise affine Lyapunov functions using the Yoshizawa construction,Proceedings of the American Control Conference (ACC 2014), Portland, OR, USA,June 4th – 6th,2014, 6 pages.
(4)H. Li, F. Wirth.Zubov's method for interconnected systems - a dissipative formulation,Proceedings on the 20th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2012), July 9-13, 2012, Melbourne, Australia,2012, 8 pages, CD-ROM, Paper No. 184, full paper.