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. 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
[2] 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
[3] 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
[4] 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
[5] 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
[6] 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
[7] 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
[8] 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
[9] 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
[10] 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
[11] 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
[12] Long Hu. Sharp time estimates for exact boundary controllability of quasilinear hyperbolic systems. SIAM J. Control Optim. 53 (2015), no. 6, 3383–3410. PDF
[13] 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
[14] 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
[15] 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
[16] 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、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；
二、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；
三、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；
四、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；
五、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；
六、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
