六、試求下列 2 個狀態方程式是否可控制(controllable)及可觀測(observable)?(2 題,每題 10 分,共 20 分)
(二)
(一)
五、某輸入為 x、輸出為 y的系統,其微分方程式如下列所示:(2題,每題 10分,共 20 分)
݀
(二)試求單位步階響應(unit-step response)。
(五)閱讀測驗
Wearing a seat belt can save your life. Beginning this Wednesday, the state of Maryland will have a new seat belt law
which requires the driver of a car and all passengers in the front seat to wear seat belts. Children between the ages of four
and sixteen must wear a seat belt if they are riding in the front or back seat. Young children under the age of four and
weighing less than 40 pounds must be in child safety seat.
Under the new law, police officers can stop cars if those inside are not wearing seat belts. Drivers and passengers who
do not follow the new law can be given tickets. The penalty for not wearing a seat belt is a $25 fine for adults and a $48 fine
for passengers under the age of 15. But there is a more important reason to wear a seat belt than the cost of a ticket. Out of
the 298 people killed in traffic crashes last year in Maryland, 199 were not wearing seat belts. Police officers believe that
110 of those 199 people would have lived if they had been wearing seat belts.
About 70 percent of people in Maryland use seat belts regularly. State officials hope that number will be higher with
the new seat belt law. People between the ages of 18 and 29 are the least likely to wear seat belts. People in their thirties are
the most likely to.
80. What is the possible meaning of buckle up?
(A) die in a car crash
(B) get a penalty
(C) sit in the front seat
(D) wear a seat belt
79. Which age group is more likely not to wear a seat belt?
(A) 5-16
(B)18-29
(C) 30-39
(D) above 60
78. How many people would die last year even if they had worn a seat belt?
(A) 89
(B)110
(C) 199
(D) 298
This is a large modal.