\r\ninterest in developing the control theory of quantum systems.

\r\nFollowing the increasing interest in the control of quantum

\r\ndynamics, this paper examines the control problem of Schrödinger

\r\nequation because quantum dynamics is basically governed by

\r\nSchrödinger equation. From the practical point of view, stochastic

\r\ndisturbances cannot be avoided in the implementation of control

\r\nmethod for quantum systems. Thus, we consider here the robust

\r\nstabilization problem of Schrödinger equation against stochastic

\r\ndisturbances. In this paper, we adopt model predictive control method

\r\nin which control performance over a finite future is optimized with

\r\na performance index that has a moving initial and terminal time.

\r\nThe objective of this study is to derive the stability criterion for

\r\nmodel predictive control of Schrödinger equation under stochastic

\r\ndisturbances.", "references": null, "publisher": "World Academy of Science, Engineering and Technology", "index": "International Science Index 121, 2017" }