### On Problem 6

We dealt with the time optimal control problem for the plant with state equation described in Problem 1. We let k=0, h=0, and m=1. We are given the initial conditions x(0)=0, and the end state (the target state) x(T)=(1/4, 1/4)T. But the end time T is free and is to be determined as minimum. We got the optimal time T*, optimal control u*(t) and optiaml state x*(t). It belongs to the class of fixed terminal problems.

Any question and opinion on it can be left HERE.

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### Textbook Available Now

Hello, Everyone,

Our reference textbook “Modern Control Theory” is available now. I asked the Matallurgical Industry Press if have the books left and got the information with “No”. But the Press had reprinted the textbook and sent to us some now. If you still like to have one and keep it, to my office to buy it with the price 15.00RMB. I’m sorry that it comes so later.

Thank you.

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### On Problem 5

We dealt with the fixed terminal optimal control problem for the plant with state equation described in Problem 1. We let k=0, h=0, and m=1. We got the optimal control u*(t) and optiaml state x*(t). Any question and opinion on it can be left HERE.

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### Four Components of Optimal Control Problem

We have discussed two examples and four components of the optimal control problem. How do you think about them? what is the main meaning of the index performance? Any question can be put HERE, and any one can reply it.

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### On Problems 3 and 4 (2010)

We dealt with the 3rd and 4th problems. Can you give out further analysis and a conclusion of the result of Problem 3? How did you discuss the relationship between the parameters and the qualitative analysis in Problem 4? How do you think about these two problems? Please try to find the differences compared them with the examples and/or problems in textbooks.

Just click HERE to leave your words.

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### On Preliminary Study of System Properties

We have discessed the preliminary for our course with system modeling, solution, and properies, which are involved into a series of prolems related to a physical system. Can you see the inherent relationships among them? What have you observed from these discussions? Are you sure you can summarize them in a thesis? And then, do you have any further thinking on these problems? If you have any ideas, please show them HERE, and share them with others.

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