Fully state constraint impulsive control for non-autonomous delayed nonlinear dynamic systems

This paper investigates the problem of exponential stabilization criterion for non-autonomous delayed dynamic systems via state constraint impulsive control. It is fundamentally different from the traditional impulsive feedback control, and it has a good adaptation to different actual situations. Combining with convex analysis, inductive method and matrix measure theory, some sufficient conditions are obtained to ensure exponential stabilization for delayed system by using the linear feedback constraint impulsive controllers. Meanwhile, several examples with simulations are given to validate the effectiveness of the proposed criteria.