【摘要】 研究了一类中立型随机非线性系统,在系数满足局部Lipschitz条件下建立了中立型随机非线性系统全局解的存在唯一性.在此基础上,给出了中立型随机非线性系统全局解的p阶矩噪声到状态渐近有界性和稳定性.更多还原

【Abstract】 We study a class of neutral stochastic nonlinear systems.We establish the existence and uniqueness of the global solution of the neutral stochastic nonlinear system under the condition that the coefficients satisfy the local Lipschitz condition.Based on this,we give the p-th moment noise-to-state asymptotical boundedness and stability of the global solution of the neutral stochastic nonlinear system.更多还原