Control (management)

Differential equation

Applied mathematics

Stability (learning theory)

Computer science

Current (fluid)

Thermodynamics

Physics

Mathematics

Numerical stability

Mathematical analysis

Delay differential equation

Artificial intelligence

Numerical analysis

Control theory (sociology)

Machine learning

Applied Mathematics and Computation

In this paper, the stability problem of impulsive functional differential equations (IFDEs) is considered. Several criteria ensuring the uniform stability of IFDEs with finite or infinite delay are derived by establishing some new Razumikhin conditions. Different with the current existing ones, our development results can be applied to delay systems with persistent impulsive effects. Finally, an example and its computer simulation is given to show the effectiveness and advantages of the proposed method.

Persistent impulsive effects on stability of functional differential equations with finite or infinite delay