y(0~). а) Fill in the blanks in the following statement: In order for the abovementioned system to be completely determined for t following are required: i ii. b) Now let the abovementio ned system be a 1*t -order system given b differential equation

Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
Question

Signals and Systems

Consider a continuo us-time (CT) LTI dynamical system having nonzero state at t = 0",
y(0").
а)
Fill in the blanks in the following statement:
In order for the abovementioned system to be completely determined for t >0 the
following are required:
i
ii.
11.
b)
Now let the abovementio ned system be a 1* –order system given by the
differential equation
dy(t)
ay(t) + bx(t)
(1.a)
dt
and the state
y(0") .
(1.b) .
Fill in the blanks in the mathematical expression given in (2):
i if y(0-) = 0.
ii. if y(0-) # 0.
y(t)
.dt
(2)
+
... .
...
* .......
Transcribed Image Text:Consider a continuo us-time (CT) LTI dynamical system having nonzero state at t = 0", y(0"). а) Fill in the blanks in the following statement: In order for the abovementioned system to be completely determined for t >0 the following are required: i ii. 11. b) Now let the abovementio ned system be a 1* –order system given by the differential equation dy(t) ay(t) + bx(t) (1.a) dt and the state y(0") . (1.b) . Fill in the blanks in the mathematical expression given in (2): i if y(0-) = 0. ii. if y(0-) # 0. y(t) .dt (2) + ... . ... * .......
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