Time delay is an inevitable factor in real systems, like robot, internet, metal cutting, man-machine interaction, and so on. Usually time delay systems are categorized into two classes: Retarded type and neutral type, where the neutral ones have peculiar dynamical behaviors and are often more complex. Capable of dealing with both types, we have developed a definite integral stability method, which is efficient, and convenient for computer coding, and suits for multiple discrete delay systems. In addition, a control problem of two-wheeled robot, and a thermo-acoustic oscillation problem, both involve time delays, are introduced to illustrate the proposed definite integral stability method.
Doctor Qi XU has received his Ph.D. from Department of Aerospace, Nanjing University of Aeronautics and Astronautics, in 2016. During 2017 and 2018, he was a research associate in Prof. Li Cheng’s group of Department of Mechanical Engineering, the Hong Kong Polytechnic University. Currently, he is an assistant professor in School of Mechanics and Engineering, Southwest Jiaotong University. His research interests include the dynamics of time-delay systems, and delayed control techniques.