Zvi Artstein
The Hettie H. Heineman Professor of Mathematics
My research is in the areas of dynamical systems and control. I deal with mathematical problems which arise when a natural or a man-made phenomenon is not autonomous and may be subject to manipulation. One aim then is to find the appropriate action necessary to achieve a desired goal. In recent studies I investigated the phenomena which are induced by a slow movement interacting with a fast dynamics. The controls which I develop allow abrupt changes and nonstationary limits of the fast dynamics. I also examined cases where the interaction of the two paces yields jumps in the slow dynamics.
Recent Publications
- On impulses induced by singular perturbations. In: Optimal Control, Stabilization, and Nonsmooth Analysis, M. de Queiroz, M. Malisoff and P. Wolenski, Eds., Lecture Notes in Control and Information Sciences 301, Springer-Verlag, Heidelberg, 2004, pp. 61-72.
- Invariant measures and their projections in nonautonomous dynamical systems. Stochastics and Dynamics 4 (2004) 439-459.
- Distributional convergence in planar dynamics and singular perturbations. J. Differential Equations 201 (2004) 250-286.