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Exponential Stability of Highly Nonlinear Neutral Pantograph Stochastic Differential Equations
Author(s) -
Shen Mingxuan,
Fei Weiyin,
Mao Xuerong,
Deng Shounian
Publication year - 2020
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.1903
Subject(s) - exponential stability , pantograph , nonlinear system , mathematics , exponential function , lyapunov function , control theory (sociology) , stability (learning theory) , stochastic differential equation , differential equation , mathematical analysis , computer science , physics , engineering , control (management) , mechanical engineering , quantum mechanics , artificial intelligence , machine learning
In this paper, we investigate the exponential stability of highly nonlinear hybrid neutral pantograph stochastic differential equations (NPSDEs). The aim of this paper is to establish exponential stability criteria for a class of hybrid NPSDEs without the linear growth condition. The methods of Lyapunov functions and M‐matrix are used to study exponential stability and boundedness of the hybrid NPSDEs.