Dynamics and control in nonlinear, time-periodic, time-delayed, stochastic, and fractional order systems; chaos identification and control; multi-agent consensus control and estimation; spacecraft guidance, navigation and control; estimation and control of spacecraft attitude and relative motion dynamics; coupled orbit/attitude dynamics; Coulomb formation flying; interplanetary, interstellar and libration point transfers; nonlinear vibrations; order reduction; regenerative chatter in machining; vibration-based damage detection in structural and rotordynamic systems.