Delay‐dependent stability of highly nonlinear neutral stochastic functional differential equations

Mingxuan Shen, Chen Fei, Weiyin Fei, Xuerong Mao, Chunhui Mei

2022International Journal of Robust and Nonlinear Control13 citationsDOI

Abstract

Abstract This article focuses on the delay‐dependent stability of highly nonlinear hybrid neutral stochastic functional differential equations (NSFDEs). The delay dependent stability criteria for a class of highly nonlinear hybrid NSFDEs are derived via the Lyapunov functional. The stabilities discussed in this article include stability, asymptotically stability and exponential stability. A numerical example is given to illustrate the criteria established.

Topics & Concepts

Nonlinear systemStability (learning theory)Exponential stabilityMathematicsStability theoryControl theory (sociology)Class (philosophy)Applied mathematicsLyapunov functionComputer sciencePhysicsControl (management)Quantum mechanicsMachine learningArtificial intelligenceStability and Controllability of Differential EquationsNeural Networks Stability and SynchronizationStability and Control of Uncertain Systems