Stability of nonlinear variable-time impulsive differential systems with delayed impulses
The authors study the stability problem for a class of variable-time impulsive differential systems with delayed impulses. Compared with the stability problem of fixed-time impulsive differential system with delayed impulses, it is more difficult to study the stability of variable-time impulsive differential systems with delayed impulses. With the help of generalized comparison principle, impulsive differential inequalities, discontinuous Lyapunov functions and mathematical induction approaches, some sufficient criteria for quasi-uniformly asymptotic stability and quasi-exponential stability of a given solution (non-trivial solution) of variable-time impulsive differential systems with delayed impulses are established.
scientific article; zbMATH DE number 7443516
scientific article