双曲型偏微分方程的控制方向，主要研究由偏微分方程支配系统的能控性与能稳性问题。

2012年于法国巴黎第六大学获得理学博士学位

2012年至今，同济大学数学科学学院

1. Chu, Jixun; Shang, Peipei; Wang, Zhiqiang; Controllability and stabilization of a conservation law modeling a highly re-entrant manufacturing system. Nonlinear Anal. 189,2019.
2. 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.
3. Bastin, Georges; Coron, Jean-Michel; Hayat, Amaury; Shang, Peipei,Exponential boundary feedback stabilization of a shock steady state for the inviscid Burgers equation. Math. Models Methods Appl. Sci. 29 (2019), no. 2, 271–316.
4. Bastin, Georges; Coron, Jean-Michel; Hayat, Amaury; Shang, Peipei, Boundary feedback stabilization of hydraulic jumps. IFAC J. Syst. Control 7 (2019), 100026, 10 pp.
5. 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.
6. 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.
7. 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.
8. 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.
10. 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.
11. 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.
12. 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.
13. P. Shang, Cauchy problem for multiscale conservation laws: Application to structured cell populations, Journal of Mathematical Analysis and Applications,401（2）, 896-920，2013.
14. 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.
15. 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.
16. P. Shang and K.L. Zhuang, Exact observability for second order quasilinear hyperbolic  equations. Chinese Journal of  Engineering Mathematics, 26(4), 618—636,2009.
17. K.L. Zhuang and P. Shang, Exact controllability for second order quasilinear hyperbolic  equations. Chinese Journal of  Engineering Mathematics, 26(6), 1005—1020,2009.

1. 2018-2022， 国家自然科学基金面上基金，主持
2. 2013-2016， 国家自然科学基金青年基金，主持
3. 2013 2015，上海市浦江人才计划， 主持
4. 2013-2015， 博士点基金， 主持

2007年，刘钧数学纪念奖

2013年，上海市浦江人才计划