Stability and bifurcation of delayed dynamic systems: from theory to application

This paper surveys recent advances in the study on the stability and bifurcation of time-delay systems. The review focuses mainly on the achievements of authors' team in the fundamental studies of stability, Hopf bifurcation and utilization of time delays to improve the system stability, as well as the delay effects on the stability of some typical systems or structures, including an aircraft wing, an inverted double-pendulum and networks. Finally, the paper addresses some open problems for future investigations.