This paper focuses on the stabilization of the cascaded Schrodinger-ODE equations subject to the observation with time delay.Both observer and predictor systems are designed to estimate the state variable on the time ...This paper focuses on the stabilization of the cascaded Schrodinger-ODE equations subject to the observation with time delay.Both observer and predictor systems are designed to estimate the state variable on the time interval[0,t-τ]when the observation is available,and to predict the state variable on the time interval[t-τ,t]when the observation is not available,respectively.Based on the estimated state variable and the output feedback stabilizing controller using the backstepping method,it is shown that the closed-loop system is exponentially stable.展开更多
基金supported by the National Natural Science Foundation of China(61673061)
文摘This paper focuses on the stabilization of the cascaded Schrodinger-ODE equations subject to the observation with time delay.Both observer and predictor systems are designed to estimate the state variable on the time interval[0,t-τ]when the observation is available,and to predict the state variable on the time interval[t-τ,t]when the observation is not available,respectively.Based on the estimated state variable and the output feedback stabilizing controller using the backstepping method,it is shown that the closed-loop system is exponentially stable.
