Razumikhin, B.S. (1960) Application of Lyapunov’s Method to Problems in the Stability of Systems with a Delay. Automat, i Telemekh, 21, 740-749.

has been cited by the following article:

• TITLE: Razumikhin-Type Theorems on p-th Moment Stability for Stochastic Switching Nonlinear Systems with Delay

  AUTHORS: Haibo Gu, Caixia Gao

  KEYWORDS: Stochastic Switching Delay System, p-th Moment Stability, Lyapunov-Razumikhin Approach

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.7, July 22, 2016

  ABSTRACT: This paper mainly tends to utilize Razumikhin-type theorems to investigate p-th moment stability for a class of stochastic switching nonlinear systems with delay. Based on the Lyapunov-Razumik- hin methods, some sufficient conditions are derived to check the stability of stochastic switching nonlinear systems with delay. One numerical example is provided to demonstrate the effectiveness of the results.