Consider the system given by X AX + Bu, y = CX + Du = A = [ ²¹₂ ¹₁] B =[₁] C = [10] D = [0] Is the system completely Controllable and observable? Hint: The rank of matrix P = [BIAB] is of rank 2 for controllability. The rank of matrix P,= [C'IA'C'] is of rank 2 for observability bleml: (

Consider the system given by X AX + Bu, y = CX + Du = A = [ ²¹₂ ¹₁] B =[₁] C = [10] D = [0] Is the system completely Controllable and observable? Hint: The rank of matrix P = [BIAB] is of rank 2 for controllability. The rank of matrix P,= [C'IA'C'] is of rank 2 for observability bleml: (

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 y = x lnx,find d2y/dx2. A. 1/x C. -1/x2 B. -1/x D. 1/x2

A: The objective of the question is to find the second derivative of the function y = x * ln(x) with…

Q: Question 1 Describe a practical advantage that M-PSK has over M QAM.

A: The explanation is as follows.

Q: Given the binary operation a*b=2a^2-b, find a. 2*3 b. 1*2 c. -2*1 d. 3*2

A: Given: The binary operation a*b=2a^2-b, finda. 2*3b. 1*2c. -2*1d. 3*2

Q: Thank you for your help so far. The original question from my homework is the 1st attached image,…

A: Given a full wave diode rectifier. To find the average and peak diode currents in the full wave…

Q: .. Ask NVC M Gmail YouTube Maps Google hily> Consider the following circuit. Assume that you can…

Q: 2.22 Suppose in the circuit of Figure P2.14 we connect a 3-V voltage source between terminals C and…

Q: simplify the following using k-map and find the simplest value of x x = abc + ā + č %3D

A: From Karnaugh Map of three variables

Q: (b) Find V across the load in the AC circuit given in Figure 4.1 (assume that both AC sources have…

A: As per company guidelines we are supposed to answer only one question. Kindly repost other questions…

Q: 1. If A, 2B, 3C are in arithmetic sequence where the distinct numbers A, B, C are in geometric…

Q: Ikn Ve VA Vic 5V IDKA

Q: Example 3.23 Determine the voltage V, in the network below. 1 kn 2 MA

A: 1. Apply KVL to lower loop and right loop, as super mesh exist. Vx-1000I1-I3-Vo-1000I2-4=0---(1)…

Q: Find the phase relationship between the following waveforms;- V=+2 sin (wt) I=-2 sin (wt)

A: In the question, Find the phasor difference between voltage and current. Find the current in the…

Q: With one command, generate a 5 × 5 random matrix of positive integers from 1 to 10. Name it R. From…

A: First we will generate the given random matrix R of 5X5 using the integer 1 to 10. To generate the…

Q: Fill in the blanks: Determine the value of x and y given the equation below. x2 9 = l4x 51 y 51 X1 =…

Q: Q2 Find the block diagram х%3D —а1x — а2х — ао х + u(t) Y = b1x + b1x + box

A: We need to find out block diagram for the given system

Q: Given n1 510, what is n2? 5415° V 30415° V n1: n2 O 3060 O 1530 O 85 O 170 rlle

A: Find n2 for the above transformer ?

Q: Which of the following is the expression defining the given circuit? (Z and A are LSB. U1 is 8x1…

A: Which of the following is the expression defining the given circuit? (Z and A are LSB. U1 8x1…

Q: Problem 2 Given the network of Figure P2, find the transfer function, 1₁(s)/V (s), I₂ (s)/V(s) and…

A: Given Data:Consider the circuit in s-domain as,To Find:The transfer functions,

Q: The number of possible minterms and function defined on 7 variables is: 32 minterms & 64 Maxterms…

A: A combinational circuit is one in which the various gates in the circuit, such as the encoder,…

Q: 2’s complement method, perform the following operations: (ix) 10012 + 01002 (x) 10102 – 11012

Q: 5 12 313 419 1414 masks: (6) (c) O lo olo lo

A: The given data is shown below:

Q: Reduce the state table in Table 1 and construct the final state diagram. Table 1 Next State Inputs,…

A: Given the state table as shown below: We need to reduce the state table and construct the final…

Q: 2) Z = A.B.C + Ā.C + A . D

Q: -6 -5 For each number set, complete the following operations and predict what your output sums and…

A: Addition of two numbers in binary and check the condition of overflow occurance.

Q: b.1001101 - 10010 = %3D

Q: [2 -1 0] 1x2 2 3 11 4 2. l15.

A: Using Row transformation of the matrix by hand , we shall convert the coefficient matrix into…

Q: Construct the Wilkinson matrix for a 2 point DFT. Please need urgent help.

A: The Wilkinson's matrix is very important in order to calculate the discrete Fourier transform of any…

Q: Q1 Subtract (653)10 – (451)10 using (i) 10th complement method (ii) 1’s complement method

A: 1. Let, A = 653, B = 451. To find A - B using 10's complementFirst , we'll find 9's complement of B…

Q: H₁ (Z) H₂(Z) = = H3 (2) = + H₁ 1-0.32-1 6 1+0.57' 7 1+0.52-1 H₂ H3 H[n] Find h[n] of the all system.

A: In this question we need to find the impulse response of overall system

Q: R, 10 2 E, 15 V 20 V E, 40 V

A: Circuit

Q: Use only Gauss Jordan Elimination Method to solve the equations. What is the value of i1? What is…

A: Given,

Q: Find a state space representation for the given electrical netwrok. Vin C1 HH 1 R1 w 2 R2 1 C2 1…

Q: examples(Aug22) 2 of 3 capacitor. ↓ Vs R₁3 ANS: Vc = ww +1 Vc F Zc Zc R1 + Zc + Zeq V }ZL Vs R₂ -+…

Q: 5. Use matrix analysis to find nodal voltages, V₁, V2, V3, for the circuit shown in Figure 5. 2 A V₁…

A: In this question We need to determine the voltages at the nodes as shown the circuit. We are…

Q: Silicon is doped with 3 x 1018 arsenic atoms/cm³ and 8 x 1018 boron atoms/cm³. (a) Is this n- or…

A: We need to tell about type of semiconductor and hole and electron concentration for given…

Q: 2. Simplify the Boolean function in r-SOP and list all the prime implicants. F(a, b, c, d) = E (0,…

Q: How to get: Nominal Tolerance Minimum Maximum in this color: Red - Red - Black - Silver

A: According to the given question, it is required to calculate the values of the below given…

Q: What are the two Boolean expression to create a half adder circuit? Sum = A*B + A*B, Carry Out = A*B…

Q: Subtraction of the following numbers by using the 2's complement 1001 - 110101 has 101100 as a…

Q: A single phase, 60Hz, short transmission line receives 700 MW at 0.95 lagging pr at 327.8 KV from…

Q: Q2) If the response of the system to an input excitation x(t) is given by the equation y = a) Is…

A: output y(t) = ex(t) is the system is homogenous? Stable? Time invariant? Memory less?

Question

=
Consider the system given by
X AX + Bu, y = CX + Du
A = [ ²¹₂ ¹₁] B =[₁] C = [10] D = [0]
Is the system completely Controllable and observable?
Hint: The rank of matrix P = [BIAB] is of rank 2 for controllability.
The rank of matrix P,= [C'IA'C'] is of rank 2 for observability
bleml: (

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 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Different Types of System and Its Property

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

Sir, I can't do this math, please solve this problem. ID : 201040
Find Z.(Need handwritten solution only PLEASE otherwise downvote)
A Moving to another question will save this response. Question 9 There are Minterms for 3 variables (x, y, z). 8. A M 2Type here to search
In B^(E),B stands for the base number. What does the E stand for? a Enter b Equatior c Exponent d Equal...
Question 3: Let A be a square matrix of size n x n. Consider the following program. What is the expected output? 01 02 03 04 C = 100 for i=1 to n do for j=1 to n do { Temp = A[i][j] + C A[0] = AU A[j][i] = Temp-C } for i=1 to n do for j=1 to n do Output(A[i][j]); 1. The matrix A itself 2. Transpose of matrix A 3. Adding 100 to the upper diagonal elements and subtracting 100 from diagonal elements of A 4. None of the above
Simplify the following using K-Map and compare it to Boolean simplification. SHOW ALL PERTINENT SOLUTIONS AND PUT YOUR ANSWER INSIDE A BOX. 1. WZ + XZ + XY + WXZ 2. BD + ĀBČ + ABC + ABc
t of For R1-47 0, R2=72 Q, R3=104 Q, V1=6 V, 1=40 A & K1=4.5, use the principle of superposition to find : R2 KIV, R3 V1 I1 R1 V01 (in volt) due to V1 only= a. 0 b. -0.028190603132289 C. -0.018793735421526 d. -0.0093968677107631
3 For each of the following Boolean expression, do the followings: 3.1 H = AB + B a. Draw the electrical schematic diagram using IEC standardized referencing, symbol and terminal numbering. b. Describe the operation of the circuit 3.2 L = AB + AC + ABC a. Draw the electrical schematic diagram using IEC standardized referencing, symbol and terminal numbering. a. Describe the operation of the circuit 目

Solve for y(1.5) using Euler's Method or Runge-Kutta given the equation: note typo: y should be y prime
1-14. (a) Write the Vo1 expression by inspection and solve for Vo1 using a voltage divider. (b) Write the Vo2 expression by inspection and solve for Vo2 using a voltage divider. Vo2 3 V 50 k 125 k 75 k 80 k Vol 125 k
One bus eycle CLK A 1653 - Ag9.56 Valid address Sautus cut Valid sodres rot AR - A15 Valid addresa Data m A:Do - A/D7 Latch address ALE RD Rad data DT/R Reccive dara DEN Data enabled Inpulcu tjul oe mernccy adies DEN* falls during. Use the timing diagram above. O T2 O T3 O T4 O None of these is correct.
a) Given the time signal x(t) as below 1)Find X(0) (the Fourier transform evaluated at m=0) X(t) 2) Evaluate X(jw) dw 3 1 3) Evaluate f X(j@)l² dw t -1 | 1 2 3