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.