Postdoctoral Research Associate, Rensselaer Polytechnic Institute (Math Sciences), Troy, NY
(Advisor: Dr. Jong-Shi Pang)
2002, Ph.D. in Aerospace Engineering, University of Michigan, Ann Arbor, MI
(Advisor: Dr. Harris N. McClamroch)
1997, M.S.E. in Control, Beijing University of Aeronautics and Astronautics, China
1994, B.S.E. in Control, Beijing University of Aeronautics and Astronautics, China
Research and Publications
Research Interests
Hybrid and switching systems (e.g. complementarity systems) and their applications to engineering and robotics
Constrained optimization and control with applications to statistics, engineering and biology
Dynamics, control and simulation of multibody mechanical and robotic systems
Nonlinear control theory and applications
Funded Projects
NSF ECCS-0900960, PI: Switching Dynamics and Control of Complemetnarity Systems
NSF CMMI-1030804, PI: Collaborative Research: A Constrained Optimal Control Approach to Shape Restricted Statistical Estimation and Its Applications
NSF DMS-1042916, PI: ATD: Collaborative Research: Estimation of Nonlinear Components and Disturbances with Applications to Threat Detection
Publications
Selected Recent Publications
Stability of Discrete-time Switched Homogeneous Systems on Cones and Conewise Homogeneous Inclusions (J. Shen and Jianghai Hu). SIAM Journal on Control and Optimization, Vol. 50(4), pp. 2216-2253, 2012.
Positive Invariance of Constrained Affine Dynamics and Its Applications to Hybrid Systems and Safety Verification (J. Shen). IEEE Tran. on Automatic Control, Vol.57(1), pp. 3-18, 2012.
Estimation of Monotone Functions via P-Splines: A Constrained Dynamical Optimization Approach (J. Shen and Xiao Wang). SIAM Journal on Control and Optimization, Vol. 49(2), pp. 646-671, 2011.
Generating Functions of Switched Linear Systems: Analysis, Computation, and Stability Applications (Jianghai Hu, J. Shen, and Wei Zhang), IEEE Transactions on Automatic Control, Vol. 56, No. 5, pp. 1059-1074, 2011.
Robust Non-Zenoness of Piecewise Analytic Systems with Applications to Complementarity Systems (J. Shen). Proc. of 2010 American Control Conference, pp. 148-153, Baltimore, MD, July, 2010.
Observability Analysis of Conewise Linear Systems via Directional Derivative and Positive Invariance Techniques (J. Shen). Automatica, Vol. 46(5), pp. 843-851, 2010.
Seminars: UMBC Applied Math Colloquium and Seminar, UIUC Workshop, Texas Tech, Univ. of Michigan Symposium in honor of Prof. McClamroch, RPI Applied Math Seminar, and more
Professional Activities
Proposal Review: NSF panels, DOE external review, NWO (Netherlands Organisation for Scientific Research) external review
Paper Review: SICON, SIOPT, IEEE Tran. Auto. Contr., Math. Program. (Series A and B), Automatica, Optimization Methods & Software, IEEE Tran. Contr. Syst. Tech., IEEE Tran. Circu. & Syst. Part I, Sys. & Contr. Letter, Int. J. Robust & Nonlin. Contr., Int. J. of Contr., Optim. Contr. Applic. & Methods, Nonl. Analy. Series A, Dyna. of Contin., Discrete, and Impuls. Syst., Physica D, IEEE TRA, AIAA JGCD, ASME JDSMC, J. of Vibr. & Contr., CDC, ACC, CCA, MSC, IROS
Continuous Optimization, Systems and Control Theory, Dynamical Systems and Differential Equations, Applied Analysis (real analysis, convex/nonsmooth analysis), Matrix Analysis and Linear Algebra, Estimation
Student Advising
Teresa Lebair, Ph.D. student (present)
Subhash Paruchuru, Master Thesis:"Uniform approximation property of implicit methods for a stiff family of differential equations", defended in December, 2011 (co-chair).
Bruno Kamden, Master Thesis:"An optimal solution to a resource allocation problem", defended in July, 2008.
Christine Sweigart, undergraduate summer research, Project:"Modeling and dynamics of gene regulation networks", 2010 (published in UMBC Review, Vol. 12, pp. 74-95, 2011).
Stuart Reynard, undergraduate summer research, Project:"Switching properties and simulation of contact mechanical systems", 2012.