发表论文：

22. A. Hayat, Y.T. Hu and P. Shang, PI control for the cascade channels modeled by general Saint-Venant equations, preprint, 2022.

21. Q.Y. Li and P. Shang, Controllability for a highly re-entrant manufacturing system with local and nonlocal velocity,  No. 100716, 12 pp, 2022.

20. A. Hayat and P. Shang, Exponential stability of density-velocity systems with boundary conditions and source term for the H2 norm, Journal de Mathematiques Pures et Appliquees, (9) 153, 187-211, 2021.

19. C.-M. Brauner，R. Roussarie, L.W. Zhang and P. Shang, Existence of a traveling wave solution in a free interface problem with fractional order kinetics,Journal of Differential Equations. 281, 105-147, 2021.

18. J.-M. Coron, L. Hu, G. Olive and P. Shang, Boundary stabilization in finite time of one-dimensional linear hyperbolic balance laws with coefficients depending on time and space,Journal of Differential Equations. 271,1109-1170, 2021.

17. J.X. Chu, P. Shang and Z.Q. Wang, Controllability and stabilization of a conservation law modeling a highly re-entrant manufacturing system,Nonlinear Analysis.189, 2019.

16. A. Hayat and P. Shang, A quadratic Lyapunov function for Saint-Venant equations with arbitrary friction and space-varying slope,Automatica, 100, 52-60，2019.

15. G. Bastin, J.-M. Coron, A. Hayat and P. Shang, Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation.Mathematical Models and Methods in Applied Sciences.29 (2), 271–316, 2019.

14. G. Bastin, J.-M. Coron, A. Hayat and P. Shang, Boundary feedback stabilization of hydraulic jumps.IFAC Journal of System and Control7 100026, 10 pp, 2019.

13. S.X. Tang, J.X. Chu, P. Shang and J.-M. Coron, Asymptotic stability of a Korteweg-de Vries equation with a two-dimensional center manifold, Advances in Nonlinear Analysis,7(4),497-515,2018.

12. J.X. Chu, J.-M. Coron, P. Shang and S.X. Tang, Gevrey class regularity of a semigroup associated with a nonlinear Korteweg–de Vries equation,Chin. Ann. Math. Ser. B, 39(2),201-212, 2018.

11. M. Diagne, P. Shang and Z.Q. Wang, Well-posedness and the exact controllability of the mass balance equations for an extrusion process,Mathematical Methods in the Applied Sciences, 39, 2659-2670,2016.

10. J.X. Chu, J.-M. Coron and P. Shang, Asymptotic stability of a nonlinear Korteweg-de Vries equation with critical lengths,Journal of Differential Equations.259（8），4045-4085, 2015.

9. M. Diagne, P. Shang and Z.Q. Wang, Feedback stabilization for the mass balance equations of an extrusion process，IEEE Transactions on Automatic Control. 61(3),760-765, 2016.

8. M. Chyba, J.-M. Coron, P. Gabriel, A. Jacquemard, G. Patterson, G. Picot and P. Shang, Optimal Geometric Control Applied to the Protein Misfolding Cyclic Amplification Process.Acta Applicandae Mathematicae. 135, 145-173，2015.

7. M. Diagne, P. Shang and Z.Q. Wang,Feedback Stabilization of a Food Extrusion Process Described by 1D PDEs Defined on Coupled Time-Varying Spatial Domains,12th IFAC Workshop on Time Delay Systems, June 28-30, 2015 Ann Arbor, MI, USA.51-56, 2015.

6. J.-M. Coron, P. Gabriel and P. Shang, Optimization of an amplification protocol for misfolded proteins by using relaxed control，Journal of Mathematical Biology. 70（1）, 289-327，2015.

5. P. Shang, Cauchy problem for multiscale conservation laws: Application to structured cell populations,Journal of Mathematical Analysis and Applications. 401(2), 896-920，2013.

4. F. Clement, J.-M. Coron and P. Shang, Optimal control of cell mass and maturity in a multiscale model of follicular ovulation,SIAM Journal on Control and Optimization. 51(2), 824–847，2013.

3. P. Shang, Z.Q. Wang, Analysis and control of a scalar conservation law modeling a highly re-entrant manufacturing system,Journal of Differential Equations. 250（2）, No. 2, 949-982，2011.

2. P. Shang and K.L. Zhuang, Exact observability for second order quasilinear hyperbolic equations.Chinese Journal of Engineering Mathematics. 26(4), 618-636, 2009.

1. K.L. Zhuang and P. Shang, Exact controllability for second order quasilinear hyperbolic equations.Chinese Journal of Engineering Mathematics. 26(6), 1005-1020, 2009.

科研项目

2022-2024， 国家自然科学基金面上基金，主持

2018-2022， 国家自然科学基金面上基金，主持

2013-2016， 国家自然科学基金青年基金，主持

2013 2015，上海市浦江人才计划， 主持

2013-2015， 博士点基金， 主持

获奖荣誉

2007年，刘钧数学纪念奖

2013年，上海市浦江人才计划