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Publications

My thesis is titled by "Control of Time-discrete Approximation Schemes for Partial differential Equations" . PDF

List of the papers:

*. Algebraic structure of the Gaussian-PDMF space and applications on fuzzy equations, preprint, arXiv No.2401.08621 PDF

*. A class of fuzzy numbers induced by probability density functions and their arithmetic operations. with H. Wang, Fuzzy sets and Systems, 467, 2023, 108581.

*. Control Strategy for Spacecraft Orbital Pursuit-evasion in Three-party Engagement. with J. Bian, 42nd CCC, 2023, Tianjing, China.

*. Non-homogeneous initial boundary value problems for the biharmonic Schrodinger equation on an interval, with J. Li, Annals of Mathematical Sciences and Applications, 2023, 54 pages.

*. Stability estimate for a time fractional Schro¨dinger equation with half order, with X. Fu and Y. Gao. 41st CCC, 2022, Hefei, China

*. Arithmetic opeartions for fuzzy numbers induced by Gaussian kernels, with H. Wang and R. Li. 41st CCC, 2022, Hefei, China

*. Study on assessing early epidemiological parameters of COVID-19 epidemic in China, with Q. Song, H. Zhao, L. Fang, W. Liu, Y. Zhang. Chin J. Epidemiol, April 2020, Vol. 41. No. 4

*. Stabilization and optimal control of the SEITR epidemic model with vaccination. with L. Guo and Y. Zhang, 37th CCC, 2018, Wuhan, China.

*.How much information is needed in quantized nonlinear control? with L. Li, L. Wang and L. Li. Scienc China. Information Sciences. Sept 2018. Vol 61, 092205. PDF

*. Controllability of a simplified reparable system. with F. Wei. 31th YAC, 2016. Wuhan, China. PDF

*.On stabilization of a class of nonlinear systems with quantized feedback. With C. Li and L. Li. 7th ICICIP, 2016, Siem Reamp, Cambodia. PDF

*.Controllability of Hopfield impulsive neural network systems with infinite delay in Banach spaces. With J. Tang. The 34th CCC&SICE 2015. PDF

*. Inverse problems for the fourth order Schroedinger equaiton on a finite domain. Mathematical Control and Related Fields, (2015) Vol. 5, No. 1, pp177-189 PDF.

*. Control problems on differential equations. Chapter 18 of "Mathematical Modeling with Multidisciplinary Applications", Edited by X. S. Yang, John Wiley & Sons, pp. 449–470, 2013.

*. Exact controllability for the fourth order Schr\"odinger equation. With Zhongcheng Zhou. Chin. Ann. Math. Ser. B 33 (2012), no. 3, 395–404.  PDF

*. Symmetry Reduced and Exact Non-traveling Wave Solutions of the (2+1)-D GSWW Equation. With Guangcan Xiao and Daquan Xian. 986-990, International Conference on Information Science and Technology, March 26-28, 2011 Nanjing, Jiangsu, China, PDF

*. Exact Controllability of Time Discrete Wave Equation: a multiplier approach. With Xu Zhang and Enrique Zuazua. Preprint on ??rance-USA conference on Applied & Numerical PDEs??, 2010. PDF

*.Boundary Observability of Time Discrete Schr\"oodinger Equations, Int. J. Mathematical Modelling and Numerical Optimisation, Vol. 1, Nos. 1/2, pp.128–145. PDF

*.On the Observability of Time-discrete Linear Conservative Systems.With Sylvain Ervedoza and Enrique Zuazua.
Journal of Functional Analysis, 2009 PDF

*. Exact Controllability of Time Discrete Wave Equation: Boundary Observability and Control. With Xu Zhang and Enrique Zuazua. Discrete and Continuous Dynamical Systems. 2009 PDF


*. Controllability of the time discrete heat equation. Asymptotic Analysis. 2008.PDF


*. Nonlinear differential equation methods in image processing. With Juan Luis Vazquez. Diploma Estuido Avanzada, UAM 2005 PDF


*.Uniform controllability of the $1-d$ semi-discrete heat equation. Diploma Estuido Avanzada. UAM 2005 PDF