Guidance, stability, control and estimation, pattern recognition, stochastic processes, optimization, neural network applications to control, numerical methods and design.

Dynamic modeling and control of micro- and nano-positioning systems, atomic force microscopes and additive manufacturing systems; volumetric error compensation; iterative learning control, multi-dimensional control, and signal processing.

Stochastic estimation and control theory; information theory; nonlinear uncertainty propagation and rectification; autonomous guidance, navigation, and control of aerospace vehicles; orbit determination, data association, conjunction assessment, and collision avoidance; attitude dynamics, determination, and control; autonomous sensor management; high-fidelity dynamical and observational modeling.

System dynamics, control, robotics, and neurotechnologies.

Nonlinear Dynamics and Vibrations, study of deterministic and random dynamical systems, model order reduction, theoretical modeling and numerical computation and structural dynamics.

Modeling, analysis, monitoring, and control of manufacturing processes (metal cutting, wire saw machining, friction stir welding, laser metal deposition, freeze–form extrusion fabrication, glass direct energy deposition, and selective laser melting), estimation and control of electrochemical alternative energy systems (hydrogen fuel cells and advanced batteries) and electro–hydraulic systems, and digital control applications.

Astrodynamics, orbital mechanics, spacecraft design, spacecraft mission design, satellite attitude dynamics, nonlinear analysis, dynamics and control, optimization.

Dynamics, vibrations, modeling and development of piezoactuators and transducers-mechatronics, mechanics of bone, design of orthopedic implants, structural dynamics, optimal design and acoustics.