In this paper, time-optimal control problem for a liner n× n co-operative parabolic system involving Laplace operator is considered. This problem is, steering an initial state y(0)=u?, with control u?so that an o...In this paper, time-optimal control problem for a liner n× n co-operative parabolic system involving Laplace operator is considered. This problem is, steering an initial state y(0)=u?, with control u?so that an observation y(t) hitting a given target set in minimum time. First, the existence and uniqueness of solutions of such system under conditions on the coefficients are proved. Afterwards necessary and sufficient conditions of optimality are obtained. Finally a scaler case is given.展开更多
Nowadays,chatting programs have become very popular among TV audience,because they are well integrated with information,entertainment and leisure.They can bring a lot of laughter as well as elicitation to the audience...Nowadays,chatting programs have become very popular among TV audience,because they are well integrated with information,entertainment and leisure.They can bring a lot of laughter as well as elicitation to the audience.However,with the sharp increase of chatting programs on television,some programs which are not well designed emerge at an amazing rate.Our au dience always have a bad feeling to these programs and even mislead by them.My paper analyzes some chatting programs from the perspective of Grice's co-operative principles,and gives some suggestion for how to make chatting program go more smoothly.展开更多
文摘In this paper, time-optimal control problem for a liner n× n co-operative parabolic system involving Laplace operator is considered. This problem is, steering an initial state y(0)=u?, with control u?so that an observation y(t) hitting a given target set in minimum time. First, the existence and uniqueness of solutions of such system under conditions on the coefficients are proved. Afterwards necessary and sufficient conditions of optimality are obtained. Finally a scaler case is given.
文摘Nowadays,chatting programs have become very popular among TV audience,because they are well integrated with information,entertainment and leisure.They can bring a lot of laughter as well as elicitation to the audience.However,with the sharp increase of chatting programs on television,some programs which are not well designed emerge at an amazing rate.Our au dience always have a bad feeling to these programs and even mislead by them.My paper analyzes some chatting programs from the perspective of Grice's co-operative principles,and gives some suggestion for how to make chatting program go more smoothly.