Razumikhin-type theorems on polynomial stability of hybrid stochastic systems with pantograph delay
Wei Mao, Liangjian Hu, Xuerong Mao
Abstract
The main aim of this paper is to investigate the polynomial stability of hybrid stochastic systems with pantograph delay (HSSwPD). By using the Razumikhin technique and Lyapunov functions, we establish several Razumikhin-type theorems on the $ p $th moment polynomial stability and almost sure polynomial stability for HSSwPD. For linear HSSwPD, sufficient conditions for polynomial stability are presented.
Topics & Concepts
PantographType (biology)PolynomialStability (learning theory)MathematicsApplied mathematicsControl theory (sociology)Computer scienceMathematical analysisEngineeringArtificial intelligenceControl (management)Engineering drawingEcologyMachine learningBiologyMathematical and Theoretical Epidemiology and Ecology ModelsNeural Networks Stability and SynchronizationDistributed Control Multi-Agent Systems