Robust Non-Zenoness of Piecewise Affine Systems with Applications to Linear Complementarity Systems (J. Shen). SIAM Journal on Optimization, in press, 2014.
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.
Observability Analysis of Conewise Linear Systems via Directional Derivative and Positive Invariance Techniques (J. Shen). Automatica, Vol. 46(5), pp. 843-851, 2010.
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
Teresa Lebair, Ph.D. student (present), topic: constrained optimizatio and control approaches to shape constrained estimation
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.
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.