ECE5320 Mechatronics Assignment #00. Week-1.
Due: Jan. 15, 2008. (Tue.)
Purpose: Review of (Continuous-time) Circuits/Signals/Systems/Controls. Prerequisite
Checking.
Please do the following independently. No group study allowed. Please review
ECE3620/3640/5310 carefully first. Estimated time: 2-6 hours.
Your name: __________________________________________
Problem-1 (10%)
Explain, with reasons, whether the LTIC systems described by the following ordinary
differential equations are asymptotically stable, marginally stable, or unstable:
(1)
)()()2(
22
tftyDD
(2)
)()1()()52)(1(
22
tfDtyDDD
(3)
)()1()()9)(1(
22
tfDtyDD
Problem-2 (10%).
For the function f(t) shown in the following figure, determine its Laplace transform using
(1) Direct integration method based on the definition of Laplace transform;
(2) Using Laplace transform table and using the Laplace transformation property of
time-delay.
Problem-3 (10%)
Find the inverse Laplace transform of
(1)
3
)2)(1(
108
ss
s
.
(2).
2
22
][ as
s
