摘要
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.
This paper focuses on the stabilization of the cascaded Schr?dinger-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.
基金
supported by the National Natural Science Foundation of China(61673061)
