1. Control of distributed parameter system (partial differential equation control, intelligent robot control, active 
disturbance rejection control, predictive control, learning control)

2. Optimal control (time optimal control, position optimal control)

3. Seismic data processing (control problems in petroleum exploration)

4. Mathematical theories and methods of sparse information processing

Anomalous diffusion and fractional calculus (characterization of fractional differential and integral equations)

6. Stochastic differential equations (control theory of stochastic differential systems)