The group research interest is in the areas of dynamical systems, control theory, and computations. In particular, we are developing methods and tools inspired from the ergodic and stochastic theory of dynamical system for the analysis and control of nonlinear dynamical systems. In our current research we are working on developing transfer operator-based methods for the control of systems exhibiting complex dynamics and establishing fundamental performance limitation for the estimation and control of systems in the presence of uncertainty.

The theoretical tools developed in our research group are motivated by the real-life applications ranging from networked power system, to the control of complex fluid flows and reduced order modeling of combustion dynamics.