CAJ | 학술논문

在具有可修复储备部件的人机系统基础上，增加一个预警状态，使其变为预警系统，利用线性算子半群理论证明了系统非负时间依赖解的存在唯一性、渐进稳定性和指数稳定性，最后通过数值计算得出在一定条件下预警系统与非预警系统的稳态可用度的相对误差趋近于0．
재구유가수복저비부건적인궤계통기출상，증가일개예경상태，사기변위예경계통，이용선성산자반군이론증명료계통비부시간의뢰해적존재유일성、점진은정성화지수은정성，최후통과수치계산득출재일정조건하예경계통여비예경계통적은태가용도적상대오차추근우0．
Based on a model representing human-machine system with general failed system repair time distri-bution,we added a warning state and make it into a system with warning function.We proved non-negative time-dependent existence and uniqueness,asymptotic stability and exponential stability of system solution by the linear operator semi-group theory.At last,by using numerical calculation,we concluded that,under cer-tain condition,the steady-state availability’s relative error of warning system and non-warning system is tend to be zero.