Exponential stability for impulsive delay differential equations by Razumikhin method

By Qing Wang, Xinzhi Liu. 2005

105 citations recorded by the source corpus.

Abstract In this paper, we study exponential stability for impulsive delay differential equation of the form x ˙ ( t ) = f ( t , x t ) , t ≠ t k , Δ x ( t ) = I k ( t , x t − ) , t = t k , k ∈ N . By employing the Razumikhin technique and Lyapunov functions, several exponential stability criteria are established. Some examples are also discussed to illustrate our results.

Subfields: Applied Mathematics, Control and Systems Engineering, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/631d30556c230c73a33224d4eddbb24dcc936091

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

In Control and Systems Engineering

In Public Health, Environmental and Occupational Health

Citations in the corpus

A Comprehensive Review of Stability Analysis of Continuous-Time Recurrent Neural Networks (2014, methodology): “At present, there are many different analysis methods to show the stability property of recurrent neural networks, such as Lyapunov stability theory [37], [182], [189], [203], [235], Razumikhin-type theorems [196], [264], nonsmooth analysis”
On the stability of impulsive functional differential equations with infinite delays (2015, background): “Moreover, it can be applied to the case not covered in [9, 11, 12, 16, 18].”