中文   English    
  当前位置:首页>>师资力量>>中心教师
教授
鲍建海 陈永川
戴 嵩 甘在会
高维东 季 青
邵井海 沈瑞鹏
孙笑涛 唐昊
王凤雨 汪更生
吴华明 于翔
余讯 张勇
周明铄 宗传明
客座教授
Peter Paule
副教授
陈鑫 郭嘉祥
何玲 胡二彦
黄兴 康浩
黎怀谦 潘宇
宋基建 唐鹏飞
田文义 魏华影
杨松 朱斐
讲师
范逸璇 刘冠华
王萌 吴秉杰
徐润东 张宇
博士后
赵奕 2024-2027
办公室
刘阳 马长莹
钟小平
汪更生 教授    
应用数学中心教师 主 页 http://maths.whu.edu.cn/shizililiang/2/2012-12-20/1356.html
  电 话:
  邮 箱: wanggs62@yeah.net;wanggs@tju.edu.cn

研究方向:

分布参数系统的控制理论,尤其是时间最优控制,周期反馈能稳,能控性。最近,更关心采样控制和脉冲控制。

教育经历:

1979.09-1983.06 武汉大学 基础数学 本科/学士

1983.09-1986.06 武汉大学 基础数学 研究生/硕士

1989.09-1994.06 美国俄亥俄大学 应用数学 研究生/博士

代表性论文与著作:

(a) 专著:

[1] G. Wang and Y. Xu, Periodic Feedback Stabilization for Linear Periodic Evolution Equations, Springer Briefs in Mathematics, ISBN 978-3-319-49237-7,DOI 10.1007/978-3-319-49238-4, 2016.(Monograph).

(b) 论文:

[1]G. Wang, M. Wang and Y. Zhang, Observability and unique continuation inequalities for the Schrodinger equation, J. Eur. Math. Soc., to appear.

[2] S. Qing and G. Wang, Equivalence between minimal time and minimal norm control problems for the heat equation, SIAM J. Control and Optim., to appear.

[3] G. Wang, D. Yang and Y. Zhang, Time optimal sampled-data controls for the heat equation, C. R. Acad. Sci. Paris. Ser. I 355 (2017) 1252-1290.

[4]S. Qing and G. Wang, Controllability of impulse controlled systems of heat equations coupled by constant matrices, J. Differential Equations, 263 (2017) 6456-6495.

[5]K. D. Wang, G. Wang and Y. Xu, Impulse output rapid stabilization for heat equations, J. Differential Equations, 263 (2017) 5012-5041.

[6]G. Wang and C. Zhang, Observability inequalities from measurable sets for some abstract evolution equations. SIAM J. Control and Optim. 55 (2017) 1862-1886.

[7]G. Wang and Y. Zhang, DECOMPOSITIONS AND BANG-BANG PROPERTIES, MathematicalControl and Related Field, Vol 7. No. 1 (2017) 73-170.

[8]M. Tucsnak, G. Wang and C. Wu, Perturbations of time optimal control problems for a class of abstract parabolic systems, SIAM J. Control and Optim., 54 (2016) 2965-2991.

[9]G. Wang, Y. Xu and Y. Zhang, Attainable subspaces and the bang-bang property of time optimal controls for heat equations, SIAM J. Control and Optim., 53 (2015) 592-621.

[10]W. Gong, G. Wang and N. Yan, Approximations of elliptic optimal control problems with controls acting on a lower dimensional manifold, SIAM J. Control and Optim., 52 (2014) 97-119.

[11]G. Wang and Y. Xu, Equivalent conditions on periodic feedback stabilization for linear periodic evolution equations, J. Funct. Anal., 266 (2014) 5126-5173.

[12]J. Apraiz, L. Escauriaza, G.Wang and C. Zhang, Observability inequalities and measurable sets, J. Eur. Math. Soc.,16 (2014) 2433-2475.

[13]G. Wang and Y. Xu, Periodic stabilization for linear time-periodic ordinary differential equations, ESAIM COCV,20 (2014) 269-314.

[14]P. Lin and G. Wang, Properties for some blowup parabolic equations and their applications. Journal de Mathématiques Pures et Appliquées, 101(2014) 223-255.

[15]K-D Phung and G. Wang, An observability estimate for parabolic equations from a measurable set in time and its applications, J. Eur. Math. Soc., 15,2 (2013) 681-703.

[16]G. Wang and Y. Xu, Equivalence of three different kinds of optimal control problems and its applications, SIAM J. Control and Optim., 51 (2013) 848-880.

[17]G. Wang and E. Zuazua, On the equivalence of minimal time and minimal norm controls for internally controlled heat equations, SIAM J. Control and Optim., 50 (2012) 2938-2958.

[18]G. Wang and G. Zheng, An approach to the optimal time for a time optimal control problem of an internally controlled heat equation. SIAM J. Control and Optim., 50 (2012) 601-628.

[19]Q. Lv and G. Wang, On the existence of time optimal controls with constraints of the rectangular type for heat equations. SIAM J. Control and Optim., 49 (2011) 1124-1149.

[20]P. Lin and G. Wang, Blowup time optimal control for ordinary differential equations. SIAM J. Control and Optim., 49 (2011) 73-105.

[21]K-D Phung and G. Wang, Quantitative unique continuation for the semilinear heat equation in a convex domain, J. Funct. Anal., 259 (2010) 1230-1247.

[22]G. Wang, $L^\infty$-null controllability for the heat equation and its consequences for the time optimal control. SIAM J. Control and Optim., 47 (2008) 1701-1720.

[23]G. Wang and D. Yang, Decomposition of vector-valued divergence free Sobolev functions and shape optimization for stationary Navier-Stokes equations. Comm. PDE, 33 (2008) 1-21.

[24]L. Lei and G.S. Wang, Optimal control of semilinear parabolic equations with k-approximate periodic solutions. SIAM J. Control and Optim., 46 (2007) 1754-1778.

[25]K-D Phung, G. S. Wang and X.Zhang, Existence of time optimal control of evolution equations. Discrete and Continuous Dynamical Systems, Ser. B, Vol. 8, No. 4 (2007) 925-941.

[26]G. Wang, L. Wang and D. Yang, Shape optimization of elliptic equations in exterior domains. SIAM, J. Control and Optim., 45 (2006) 532-547.

[27]V. Barbu and G.S.Wang, Feedback stabilization of periodic solutions to nonlinear parabolic evolution systems. Indiana Uni. Math. J., 54, 6 (2005) 1521-1546.

[28]L. Wang and G. Wang, Time optimal control of Phase-field systems. SIAM J. Control And Optim., 42 (2003) 1483-1508.

[29]G. Wang, Optimal controls of 3-dimensional Navier-Stokes equations with state constraints. SIAM. J.Control and Optim., 41 (2002) 583-606.

[30]G. Wang and L. Wang, State-constrained optimal control governed by non-well posed semilinear parabolic differential equation. SIAM J. Control and Optimization, 40 (2002) 1517-1539.

[31]G. Wang, Optimal control of parabolic differential equations with two point boundary state constraints. SIAM J. Control Optim., 38 (2000) 1639-1654.