Stability analysis of complex-valued impulsive system

Since quantum system, which is one of the foci of ongoing research, is the classical example of complex-valued systems, in this study, the stability of complex-valued impulsive system is addressed. Taking advantage of the Lyapunov function in the complex fields, the stability criteria of complex-valued impulsive system are established, which not only generalises the stability criteria on real-valued impulsive system, but also greatly reduces the complexity of analysis and computation. Moreover, as an application, a linear impulsive feedback controller for the complex-valued Lü system is designed.