1. Consider the following CLTI system: 3 5 -7 4] 0 0 1 0 x(t) + 2 3 4 u(t) -1 0 x'(t) = 2 -1 1 1 0 1 0 -1 y(t) = [1 -3 0 9]x(t) 1 0 1 1 -1 1 2 3 0 1 1 1 1 1 1 0 and let z(t) = Px(t) for P = | Write down state space equations for the equivalent system with state z, input u and output y.

1. Consider the following CLTI system: 3 5 -7 4] 0 0 1 0 x(t) + 2 3 4 u(t) -1 0 x'(t) = 2 -1 1 1 0 1 0 -1 y(t) = [1 -3 0 9]x(t) 1 0 1 1 -1 1 2 3 0 1 1 1 1 1 1 0 and let z(t) = Px(t) for P = | Write down state space equations for the equivalent system with state z, input u and output y.

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...

See similar textbooks

Related questions

Q: If x(t) is shown below x(t) Then y(t) = x(3t – 3) – 1 has the shape y(t) А. В. 1 2 1 D. 1 2.

A: Solve for y(t)

Q: H.W: Obtain Z-transform for the Followings 1) x(t) = Coswt 1 2) x(s) (s+a)? 1 3) x(s) s(s+1)…

Q: 4. Determine the causal signal x(n) if its z-transform X(z) is given by: 1+3z-1 a) X(z) =…

Q: solve ( x(n)= (0.4) n+1 u(n), h(n) = (0.2)" u(n-1) using Z-transform

Q: Determine the Laplace trasform for the functions below: a) f(t) = 20e-6t + 6e-3t B) f(t) = 20tet…

Q: 4) C니

Q: Q1/ For the circuit shown, find i1 and i2. Take Vinitial = 0, Use Laplace transform %3D

A: As per the guidelines, we supposed to answer one question at a time so please ask other questions…

Q: Given that x(t) = u(t) + u(-t) + t3 - cos (2t), show that x(t) is asymmetric and then determine the…

A: Given: xt=ut+u-t+t3-cos2t Required: Show that xt is asymmetric or odd and then find the symmetric…

Q: Q4) Consider the discrete image given below: [1 1 3 1 2 1 3 11 3 30 31 3 2 1 2 3 1 1 3 6 5 9 6 7 4 1…

A: Given discrete image is we need to determine the threshold image when the thresholding value is i)…

Q: Plot y(t): y(t) = [u(t) – u(t - 2)] * 2[u(t) – 2u(t – 2) + u(t – 6)] %3D

A: Here it is asked to find out the convolution of two signals. Here the properties of convolution of…

Q: Find Laplace transform of: 1 St u(t) = s² Le at u(t) = %3D S a

A: Laplace transform of the function x(t) can be obtained as L{x(t)}=X(s)=∫-∞+∞x(t).e-stdt With the…

Q: 1) Use the definition of Z-transform to obtain X(z) if x(n) = 3(-1)"µ(n – 1).

Q: 2) Find y(t) = x(t) h(t) by convolution integral. x(t) 1 A 0 1 2 * h(t) 1 0 1 2 3

A: The given figure is shown below,

Q: 1- Given the following two-degrees of freedom translational mechanical system, use the "by…

A: For the given mechanical translational system, the transfer function G(s) = X1(s)F(s) needs to be…

Q: Soru 3 en(-4*s) * (2/s^3 +8/s^2 +16/s) Find the inverse laplace value of the expression When you…

Q: 7- Find X(z) for the sequence x(n)=()"³ cos((n-2))u(n-1) n-3

A: Since you have posted multiple questions we will provide the solution only to the first question a…

Q: 15u(t) mA ell 2Η 14 Ω www +2 0.05 F

Q: An LTI system is described by the z-transform: Y(z) X(z) 1+ 0.8z a. Derive the difference equation…

Q: [Convolution integral] Consider the two functions: if 2 <t x(t) = otherwise Scos(2t)e-t if 1<t y(t)…

Q: Qb) Determine the z-transform of the following signal and sketch the corresponding pole-zero…

Q: - x(1) K ell F(s) X(s) Ms² + f,s + K 1 M ► S() ilililili

A: We need to find out the transfer function for the given mechanical system.

Q: 15. Consider x(t) Figure 1 X (t) -1 +1 sketch y= 2* x (t). -1 b) -2 -1 0 +1 +2

Q: If x(1) is shown below x(t) -3 Then y(t) = x(3t – 3) – 1 has the shape

Q: V FIND i(t),t>0 2 k ww 6k i(t) M 100 F 4 k 6ov

Q: Y(z) 1 ROC: |z| > 0.8 1 + 0.8z-1 Derive the difference equation and draw the LTI block diagram. b.…

Q: 1 4 + v(t) S2 12 2 0.1 F V, I, 6Ω 6Ω 3Ω 8. 20

A: Capacitor is an electrical component used to store electrical energy in the form of charge. It…

Q: A) Determine the z-transform for (Choose one only) 1. x(n) = 6(0.6)" cos (0.2лn)u(n) 2. x(n) = 4e-3n…

A: In this question we will find z transform of given function....

Q: 1. Consider an LTI system with the following DE 1 1 y(n) — — y(n − 1) — {√y[n−2] = 0, with y[−1] =…

Q: Problem4.Find Ve(t) for t20. Use differential equation approach to get credit for this problem.…

A: Given Data: A parallel RLC transient circuit with, Initial capacitor voltage Vc0-=8 V Initial…

Q: The following Karnaugh map represents a function F. Q. A minimized form of the function F is F X YZ…

A: Given K-map,

Q: Determine the causal signal x(n) if its z-transform X (z) is given by: 1+3z-1 1+3z-1+2z-2 (a) X(z) =…

Q: a) X(z) 1+38-1422-2

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: (a) Find transfer function for (1-e-²¹)u(t). (b) Find the locations of the poles and zeros and plot…

A: The question is about transfer function and pole zero plot.

Question

1. Consider the following CLTI system:
3 5 -7 4
0 0
2 -1
2
3
1
2
4
x'(t) =
x(t) +
1
u(t)
-1 0
1
1
0 1|
0 -1
У(t) - [1 -30 9]x(t)
1 0 1 1
-1 1 2 3
0 1 1 1
1 1 1 0
and let z(t) = Px(t) for P =
Write down state space equations for the equivalent system with state z, input u and
output y.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Step by step

Solved in 3 steps with 4 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Determine all possible signals that can have the following z-transforms. (a) X(z) = = 1 1 1 + 1 4
Solve for the solution of the differential equation using Laplace Transform y" – 2y – 3y = 1 y (0) = 0, y (0) = 0 Oy (t) = 1- e-t Oy (t) %3D뉴 1-e" 12 Oy (t) = -+e +tet 12 Oy(t)= -3+4e +e" 12
(a) Given two inputs, x(t) and y(t) signals as illustrated in Figure 1 and Figure 2, respectively. J 20% Write the signal x(t) using a single analytical expression with aid of the unit step function, u(t). (ii) Sketch the odd part of y(t). (111) Sketch z(t) = [x(t) + y(t)][-u(-t+ 1)]. 20April 20%. (iv) Give ONE (1) suggestion on how to make z(t) a power signal and provide the appropriate expression.
Find the expression C (z) according to the scheme.
y(t) X(t 2 2 4 3 5 -3 )plot x 1-0.5t) ii)plot y(2t+1) iii) find x((1– 0.5t) y(2t + 1)8(t - 1)dt
Use laplace transforms to solve the following problems.
The function x(n) shown can be expressed as: x(n)=u(n²)
.: Obtain Z-transform for the Followings \x(t)=1(t+4T)
Q6:B. Find the inverse 2-Transform for the following signals: 22 + 13: +2 23 + 722 + 2z + 1 (1) F(z] = z(-5z+22) (z+ 1)(2 – 2)ª (2) F[z] =
Given f(t) as shown in Figure lc, plot y (1) = }F(- }t+ 2) . f(t) 2 -2 Figure lc
Don't convert to s-domain... Use linear DE to get the equation then do Laplace. I will downvote/dislike again if you use s-domain
1 Q3\ 1. Find the inverse Z transform of X(z) =- 1-1.5z + 0.5z -2 2. For the Figure below (2), find the transfer function H(z) 0.8 -0.3 Y2(z) Ya(z) X(2) 0.3 z'yz(z) 0.4 0.3 -0.4 -0.2