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¿¬¼¼´ë ¼±Çü´ë¼öÇÐ Á·º¸ 2Çбâ-¼±´ë½ÃÇè-1Â÷Áß°£-¸ð¹ü´ä¾È (1) / Problem 1. Indicate whether the statement is true(T) or false(F). Justify your answer. [each 3pt] (1) If A and B are invertible matrices, then A + B is also invertible. (F) Solve Take B = A, and A is an any invertible matrix. Then, A and B are invertible, but A + B = O is not invertible. Problem ¡¦
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ÇѾç´ë ¿¡¸®Ä« Á¦¾î ±â¸».pdf / Solutions of Final Exam Subject : Control System Engineering 1, Lecturer : Prof. Youngjin Choi, Date : June 17, 2015 (Contact e-mail :xxxx@xxxxang.ac.kr) Problem 1 (20pt) Consider the following control system (1.1) Find the position error constant Kp(1.2) Find the velocity error constant Kv(1.3) Find the acceleration error con¡¦
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ÇѾç´ë ¿¡¸®Ä« Á¦¾î Áß°£ Á·º¸.pdf / Solutions of Midterm Exam Subject : Control System Engineering 1, Lecturer : Prof. Youngjin Choi, Date : Apr. 22, 2013 (Contact e-mail :xxxx@xxxxang.ac.kr) Problem 1 (20pt) Draw both polar plot and bode plot of the following transfer function: G(s) = 1 s(s + 1) (1) Solution of Problem 1 (20pt) 1. (5pt) Consider G(j¥ø) = 1¡¦
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ÇѾç´ë °ø¾÷¼öÇÐ Áß°£ ¹®Á¦ / 1. Solve the equation xdy( yxyxy 2 )dx 2. y1 ( x)e x is one of homogeneous solutions for the following ODE(ordinary differential equation) : ( x1) y `` xy ` y0 Find the other homogeneous solution. 3. Solve the equation dx( x x3)dy0 y 4. Solve the equation xy ``` 3 y ``e x 5. Solve the equation y `` 4 4 y ` 2 yx 21 ,¡¦
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ÇѾç´ë °ø¾÷¼öÇÐ ±â¸» ¹®Á¦ / 1. °ÅµìÁ¦°ö±Þ¼ö ÇعýÀ» ÀÌ¿ëÇÏ¿© ´ÙÀ½ ÃʱⰪ ¹®Á¦¸¦ Ç®¾î ÃÖ¼Ò 4Â÷Ç×±îÁö Á¤È®È÷ Ç¥ÇöÇϽÿÀ. , 2. Frobenius ÇعýÀ» ÀÌ¿ëÇÏ¿© ´ÙÀ½ ¹ÌºÐ¹æÁ¤½ÄÀÇ Çظ¦ ÃÖ¼Ò 3Â÷Ç×±îÁö Ç¥ÇöÇϽÿÀ. 3. ´ÙÀ½ ¹ÌºÐ¹æÁ¤½ÄÀÇ Çظ¦ Bessel ÇÔ¼ö¸¦ ÀÌ¿ëÇÏ¿© Ç¥ÇöÇ϶ó. (ÁÖ¾îÁø ġȯ »ç¿ë) , 4. À» ±¸ÇϽÿÀ. 5. Laplace º¯È¯À» ÀÌ¿ëÇÏ¿© ´ÙÀ½ ¹æÁ¤½ÄÀÇ Çظ¦ ±¸Ç϶ó. 6. ´ÙÀ½ ¡¦
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Ä«À̽ºÆ® °íÀü¿ªÇÐ ±â¸» Á·º¸.docx / 2015 Classical Mechanics I Final-term Exam 2015. 6. 19 20:00 ~ 1. (To be scored by Prof.) 2. (a) Show that the superposition principle does not hold for a nonlinear differential equation such as . Hereis a constant. (4 points) Letandare possible solutions of the differential equation. If we apply a trial superposit¡¦
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