个人简介
教育经历
时间 单位 学位
2007.09-2010.06 四川大学 博士
2004.09-2007.06 四川大学 硕士
2000.09-2004.06 电子科技大学 学士
工作经历
时间 单位 职务
2014.04至今 四川大学 教授
2013.01-2014.01 法国巴黎六大，Laboratoire Jacques-Louis Lions 博士后
2012.07-2014/3 电子科技大学 副教授
2011.04-2012.04 西班牙巴斯克应用数学中心 博士后
2010.07-2012.06 电子科技大学 讲师
科研项目
编号 项目名称
12025105 分布参数系统的控制理论
11971334 随机波方程与随机热方程的线性二次最优控制问题
11471231 随机双曲型偏微分方程的控制和观测
11101070 几类随机偏微分方程的能控性
学术荣誉
2013年获中国数学会钟家庆奖
2018年获中国工业与应用数学会应用数学青年科技奖
近期论文
查看导师最新文章
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Qi Lü, Some results on the controllability of forward stochastic heat equations with control on the drift. J. Funct. Anal. 260 (2011), no. 3, 832–851.
Qi Lü, Gengsheng Wang, On the existence of time optimal controls with constraints of the rectangular type for heat equations. SIAM J. Control Optim. 49 (2011), no. 3, 1124–1149.
Qi Lü, Carleman estimate for stochastic parabolic equations and inverse stochastic parabolic problems. Inverse Problems 28 (2012), no. 4, 045008, 18 pp.
Qi Lü, Jiongmin Yong, Xu Zhang, Representation of Itô integrals by Lebesgue/Bochner integrals. J. Eur. Math. Soc. (JEMS) 14 (2012), no. 6, 1795–1823.
Qi Lü, Xu Zhang, Well-posedness of backward stochastic differential equations with general filtration. J. Differential Equations 254 (2013), no. 8, 3200–3227.
Qi Lü, A lower bound on local energy of partial sum of eigenfunctions for Laplace-Beltrami operators. ESAIM Control Optim. Calc. Var. 19 (2013), no. 1, 255–273.
Qi Lü, Observability estimate for stochastic Schrödinger equations and its applications. SIAM J. Control Optim. 51 (2013), no. 1, 121–144.
Qi Lü, Exact controllability for stochastic Schrödinger equations. J. Differential Equations 255 (2013), no. 8, 2484–2504.
Qi Lü, Observability estimate and state observation problems for stochastic hyperbolic equations. Inverse Problems 29 (2013), no. 9, 095011, 22 pp.
Qi Lü, Exact controllability for stochastic transport equations. SIAM J. Control Optim. 52 (2014), no. 1, 397–419.
Qi Lü, Enrique Zuazua, Robust null controllability for heat equations with unknown switching control mode. Discrete Contin. Dyn. Syst. 34 (2014), no. 10, 4183–4210.
Jean-Michel Coron, Qi Lü, Local rapid stabilization for a Korteweg-de Vries equation with a Neumann boundary control on the right. J. Math. Pures Appl. (9) 102 (2014), no. 6, 1080–1120.
Qi Lü, Xu Zhang, General Pontryagin-type stochastic maximum principle and backward stochastic evolution equations in infinite dimensions. SpringerBriefs in Mathematics. Springer, Cham, 2014.
Qi Lü, Xu Zhang, Global uniqueness for an inverse stochastic hyperbolic problem with three unknowns. Comm. Pure Appl. Math. 68 (2015), no. 6, 948–963.
Qi Lü, Zhongqi Yin, Unique continuation for stochastic heat equations. ESAIM Control Optim. Calc. Var. 21 (2015), no. 2, 378–398.
Jean-Michel Coron, Qi Lü, Fredholm transform and local rapid stabilization for a Kuramoto-Sivashinsky equation. J. Differential Equations 259 (2015), no. 8, 3683–3729.
Qi Lü, Stochastic well-posed systems and well-posedness of some stochastic partial differential equations with boundary control and observation. SIAM J. Control Optim. 53 (2015), no. 6, 3457–3482.
Qi Lü, Enrique Zuazua, Averaged controllability for random evolution partial differential equations. J. Math. Pures Appl. (9) 105 (2016), no. 3, 367–414.
Enrique Fernández-Cara, Qi Lü, Enrique Zuazua, Null controllability of linear heat and wave equations with nonlocal spatial terms. SIAM J. Control Optim. 54 (2016), no. 4, 2009–2019.
Xiaoyu Fu, Xu Liu, Qi Lü, Xu Zhang, An internal observability estimate for stochastic hyperbolic equations. ESAIM Control Optim. Calc. Var. 22 (2016), no. 4, 1382–1411.
Qi Lü, Xu Zhang, Enrique Zuazua, Null controllability for wave equations with memory. J. Math. Pures Appl. (9) 108 (2017), no. 4, 500–531.
Fangfang Dou, Qi Lü, Partial approximate controllability for linear stochastic control systems. SIAM J. Control Optim. 57 (2019), no. 2, 1209–1229.
Qi Lü, Well-posedness of stochastic Riccati equations and closed-loop solvability for stochastic linear quadratic optimal control problems. J. Differential Equations 267 (2019), no. 1, 180–227.
Xiaoyu Fu, Qi Lü, Xu Zhang, Carleman estimates for second order partial differential operators and applications. A unified approach. SpringerBriefs in Mathematics. BCAM SpringerBriefs. Springer, Cham, 2019.
Hélène Frankowska, Qi Lü, First and second order necessary optimality conditions for controlled stochastic evolution equations with control and state constraints. J. Differential Equations 268 (2020), no. 6, 2949–3015.
Fangfang Dou, Qi Lü, Time-inconsistent linear quadratic optimal control problems for stochastic evolution equations. SIAM J. Control Optim. 58 (2020), no. 1, 485–509.
Xu Liu, Qi Lü, Xu Zhang, Finite codimensional controllability and optimal control problems with endpoint state constraints. J. Math. Pures Appl. (9) 138 (2020), 164–203.
Qi Lü, Zhongqi Yin, Local state observation for stochastic hyperbolic equations. ESAIM Control Optim. Calc. Var. 26 (2020), Paper No. 79, 19 pp.
Qi Lü, Stochastic linear quadratic optimal control problems for mean-field stochastic evolution equations. ESAIM Control Optim. Calc. Var. 26 (2020), Paper No. 127, 28 pp.
Qi Lü, Xu Zhang, Control theory for stochastic distributed parameter systems, an engineering perspective. Annu. Rev. Control 51 (2021), 268–330.
Hélène Frankowska, Qi Lü, Second order necessary conditions for optimal control problems of evolution equations involving final point equality constraints. ESAIM Control Optim. Calc. Var. 27 (2021), Paper No. 71, 38 pp.
Qi Lü, Haisen Zhang, Xu Zhang, Second order necessary conditions for optimal control problems of stochastic evolution equations. SIAM J. Control Optim. 59 (2021), no. 4, 2924–2954.
Qi Lü, Xu Zhang, Mathematical Control Theory for Stochastic Partial Differential Equations. Springer, Switzerland AG., 2021.
Qi Lü, Xu Zhang, Optimal feedback for stochastic linear quadratic control and backward stochastic Riccati equations in infinite dimensions. Mem. Amer. Math. Soc., to appear.
Qi Lü, Yu Wang, Null controllability for fourth order stochastic parabolic equations. SIAM J. Control Optim. to appear.
学术兼职
2018.04-至今SIAM Journal on Control and Optimization 编委
2018.01-至今ESAIM. Control, Optimisation and Calculus of Variations 编委
2016.02-至今Systems & Control Letters 编委
2012.12-至今Mathematical Control and Related Fields 编委
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