CAJ | 학술논문

讨论具有饱和执行器的混合时滞随机中立型系统的均方指数稳定性。在考虑了时变时滞依赖和分布时滞效应的系统状态中融入具有Markov跳变的随机中立系统，针对此类系统设计了一个无记忆饱和状态的反馈控制，构造合适的Lyapunov-Krasovskii函数，由时滞分割法得到系统的最大时滞上界，采用线性矩阵不等式方法，推导出系统均方指数稳定的充分条件并进一步得到较小保守性。数值例子说明该方法的有效性。
토론구유포화집행기적혼합시체수궤중립형계통적균방지수은정성。재고필료시변시체의뢰화분포시체효응적계통상태중융입구유Markov도변적수궤중립계통，침대차류계통설계료일개무기억포화상태적반궤공제，구조합괄적Lyapunov-Krasovskii함수，유시체분할법득도계통적최대시체상계，채용선성구진불등식방법，추도출계통균방지수은정적충분조건병진일보득도교소보수성。수치례자설명해방법적유효성。
This paper investigates the exponential mean -square stability of the stochastic neutral system with saturating actuators and mixed time varying delays. The Markov process is fully considered for this neutral system,which takes both the state delays of derivatives and distributed delays into account. In this system,the feedback control of a non-memory saturation state is designed,and a suitable Lyapunov-Krasovskii function is constructed,and the upper bound of the maximum time delay is obtained by the time delay partitioning method. The sufficient conditions for the exponential stability of the system are derived and a less conservative condition for ensuring the exponential stability of this stochastic neutral systems is derived. Numerical examples show that the proposed method is effective and applicable.