胡龙，国家优青。研究兴趣：偏微分方程控制理论，特别是双曲系统的镇定性、能控性和同步性。欢迎有志于数学研究的同学报考。
通讯地址：山东省济南市历城区山大南路27号山东大学中心校区数学学院
Email: hul@sdu.edu.cn
论文成果：
[1] Long Hu and Guillaume Olive. The Minimal control time for the exact controllability by internal controls of 1D hyperbolic balance laws. ESAIM Control Optim. Calc. Var. 30 (2024), Paper No. 82, 13 pp. PDF
[2] Long Hu and Guillaume Olive. Equivalent one-dimensional first-order linear hyperbolic systems and range of the minimal null control time with respect to the internal coupling matrix. J. Differential Equations 336 (2022), 654–707. PDF
[3] Long Hu and Guillaume Olive. Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2 × 2 linear hyperbolic systems. ESAIM Control Optim. Calc. Var. 27 (2021), Paper No. 96, 18 pp. PDF
[4] Long Hu and Guillaume Olive. Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls. J. Math. Pures Appl. (9) 148 (2021), 24–74. PDF
[5] Jean-Michel Coron, Long Hu, Guillaume Olive and Peipei Shang. Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space. J. Differential Equations 271 (2021), 1109–1170. PDF
[6] Long Hu, Rafael Vazquez, Florent Di Meglio and Miroslav Krstic. Boundary exponential stabilization of 1-dimensional inhomogeneous quasi-linear hyperbolic systems. SIAM J. Control Optim. 57 (2019), no. 2, 963–998. PDF
[7] Florent Di Meglio, Federico Bribiesca Argomedo, Long Hu and Miroslav Krstic. Stabilization of coupled linear heterodirectional hyperbolic PDE-ODE systems. Automatica J. IFAC 87 (2018), 281–289. PDF
[8] Jean-Michel Coron, Long Hu and Guillaume Olive. Finite-time boundary stabilization of general linear hyperbolic balance laws via Fredholm backstepping transformation. Automatica J. IFAC 84 (2017), 95–100. PDF
[9] Long Hu, Florent Di Meglio, Rafael Vazquez and Miroslav Krstic. Control of homodirectional and general heterodirectional linear coupled hyperbolic PDEs. IEEE Trans. Automat. Control 61 (2016), no. 11, 3301–3314. PDF
[10] Long Hu, Tatsien Li and Peng Qu. Exact boundary synchronization for a coupled system of 1-D quasilinear wave equations. ESAIM Control Optim. Calc. Var. 22 (2016), no. 4, 1163–1183. PDF
[11] Jean-Michel Coron, Long Hu and Guillaume Olive. Stabilization and controllability of first-order integro-differential hyperbolic equations. J. Funct. Anal. 271 (2016), no. 12, 3554–3587. PDF
[12] Long Hu and Zhiqiang Wang. On boundary control of a hyperbolic system with a vanishing characteristic speed. ESAIM Control Optim. Calc. Var. 22 (2016), no. 1, 134–147. PDF
[13] Long Hu. Sharp time estimates for exact boundary controllability of quasilinear hyperbolic systems. SIAM J. Control Optim. 53 (2015), no. 6, 3383–3410. PDF
[14] Long Hu and Florent Di Meglio. Finite-time backstepping boundary stabilization of 3×3 hyperbolic systems, in Proceedings of the European Control Conference (ECC) (July 2015) 67–72. PDF
[15] Tatsien Li, Bopeng Rao and Long Hu. Exact boundary synchronization for a coupled system of 1-D wave equations. ESAIM Control Optim. Calc. Var. 20 (2014), no. 2, 339–361. PDF
[16] Long Hu, Tatsien Li and Bopeng Rao. Exact boundary synchronization for a coupled system of 1-D wave equations with coupled boundary conditions of dissipative type. Commun. Pure Appl. Anal. 13 (2014), no. 2, 881–901. PDF
[17] Long Hu, Fanqiong Ji and Ke Wang. Exact boundary controllability and exact boundary observability for a coupled system of quasilinear wave equations. Chinese Ann. Math. Ser. B 34 (2013), no. 4, 479–490. PDF
科研项目：
一、非齐次拟线性双曲系统的最短控制时间，国家自然科学基金面上基金，2025-2028，主持；
二、双曲型偏微分方程的控制理论，国家自然科学基金优秀青年基金，2022-2024，主持；
三、基于边界能控性与镇定性下的耦合双曲系统的最优时间，国家自然科学基金面上基金，2021-2024，主持；
四、控制缺失下的双曲系统的能控性，山东省重点研发计划（软科学），2019-2021，主持；
五、一维非线性耦合双曲系统的边界同步性，国家自然科学基金青年基金，2017-2019，主持；
六、首届山东省青年人才托举工程，山东省科学技术协会，2018-2020，主持；
七、首届博士后创新人才支持计划，人力资源和社会保障部、全国博士后管理委员会，2016-2018，主持
