具有异构子系统的高度非线性中立型切换随机系统的稳定性  

Stability of Highly Nonlinear Neutral Switching Stochastic Systems with Heterogeneous Subsystems

作　　者：杨思亮 赵颖 吴小太[1] YANG Siliang;ZHAO Ying;WU Xiaotai(School of Mathematics-Physics and Finance,Anhui Polytechnic University,Wuhu 241000,China)

机构地区：[1]安徽工程大学数理与金融学院,安徽芜湖241000

出　　处：《安徽工程大学学报》2025年第1期87-94,共8页Journal of Anhui Polytechnic University

基　　金：国家自然科学基金项目(62273004);安徽省高校重点科研项目(2023AH010011)。

摘　　要：本文研究了一类具有异构子系统的高度非线性中立型切换随机系统的稳定性问题,其系统的切换规则为确定性切换规则。在没有线性增长条件的保证下,通过建立不同结构的Khasminskii型条件,运用模态相依的平均驻留时间法和Lyapunov函数法得到了具有异构子系统的高度非线性中立型切换随机系统解的存在唯一性和指数稳定性。This paper investigates the stability problem of highly nonlinear hybrid neutral switching stochastic systems with heterogeneous subsystems,where the switching signal is deterministic.Under the guarantee of local Lipschitz conditions,Khasminskii-type conditions for different structures of subsystems were established to prove the existence,uniqueness,and pth moment exponential stability of solutions for highly nonlinear mixed neutral switching stochastic systems with heterogeneous subsystems.

关 键 词：中立型随机系统 异构子系统 高度非线性 

分 类 号：O231.2[理学—运筹学与控制论]