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
NSF CMMI-1902006, PI: Collaborative Research: Smart Vehicle Platooning Built upon Real-time Learning and Distributed Optimization
Publications
Selected Recent Publications
Least Sparsity of p-norm based Optimization Problems with p>1 (J. Shen and S. Mousavi). SIAM Journal on Optimization, Vol. 28(3), pp. 2721-2751, 2018.
A Two Stage k-Monotone B-spline Regression Estimator: Uniform Lipschitz Property and Optimal Convergence Rate (Teresa M. Lebair and J. Shen). Electronic Journal of Statistics, Vol. 12(1), pp. 1388-1428, 2018.
Generalized Input-to-state L2-gains of Discrete-time Switched Linear Control Systems (J. Hu, J. Shen, and V. Putta). SIAM Journal on Control and Optimization, Vol. 54(3), pp. 1475-1503, 2016.
Constrained Optimization and Distributed Computation based Car Following Control of a Connected and Autonomous Vehicle Platoon (S. Gong, J. Shen, and L. Du). Transportation Research Part B: Methodological, Vol. 94, pp. 314-334, 2016.
Robust Non-Zenoness of Piecewise Affine Systems with Applications to Linear Complementarity Systems (J. Shen). SIAM Journal on Optimization, Vol.24(4), pp. 2023-2056, 2014.
Stability of Discrete-time Switched Homogeneous Systems on Cones and Conewise Homogeneous Inclusions (J. Shen and J. 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 X. Wang). SIAM Journal on Control and Optimization, Vol. 49(2), pp. 646-671, 2011.
Conferences: IEEE CDC, ACC, SIAM Conf. on Contr. & Applic., AMS Sectional Meeting, Banff Workshop on Computational Contact Mechanics, Inter. Linear Algebra Society Meeting, NSF CMMI Grantee Conf., INFORMS Annual Meeting, Inter. Symp. Math. Program., ASME DSCC, Inter. Conf. on Complementarity Problems, Inter. Conf. on Continuous Optim., Midwest Motion Planning Meeting
Seminars: UMBC Applied Math Colloquium and Seminar, George Washington University ME 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, SIAM J. on Numerical Analysis, SIAM J. on Scientific Computing, 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, and more
Continuous Optimization, Systems and Control Theory, Dynamical Systems and Differential Equations, Applied Analysis (real analysis, convex/nonsmooth analysis), Matrix Analysis and Linear Algebra, Statistical Inference and Estimation
Seyedahmad Mousavi, Ph.D., defended on August 29, 2019. Thesis title: Topics in Sparse Recovery via Constrained Optimization: Least Sparsity, Solution Uniqueness, and Constrained Exact Recovery. The first position: Industrial Postdoc at IMA of University of Minnesota.
Subhash Paruchuru, Master Thesis:"Uniform approximation property of implicit methods for a stiff family of differential equations", defended in December, 2011 (co-chair).
Bruno Kamdem, Master Thesis:"An optimal solution to a resource allocation problem", defended in July, 2008.
Danielle Sykes, undegraduate summer research, Project: "Optimization and Control of CAV Platoons", 2017.
Christian Wisner-Carlson, undergraduate summer research, Project: "Introduction to the Theory of Compressed Sensing", 2015.
Peter Davis, undergraduate summer research, Project:"Switching behaviors of contact mechanical systems subject to parameter variations", supported by NSF, 2014.
Suravi Das, undergraduate summer research, Project:"Estimation of genetic networks", supported by NSF, 2014.
Christine Sweigart, undergraduate summer research, Project:"Modeling and dynamics of gene regulation networks", supported by NSF, 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", supported by NSF, 2012.
Immanuel Williams, MARC undergraduate research, Project:"Social dynamics via ODE techniques", 2009-2012