Given the state space representation.N-AJA-0--2-3 x₂y=[11]0. а.AX₂then the transfer function of the system is:O b.O d.2(S+3)1((S+3)(S+2))OC (5+3)(S+2)u2(S+2)

Given That : State space representation is as follows : x1˙x2˙=01-2-3x1x2+02uy=11x1x2 To Find :The…

Answered: Given the state space representation. 0…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Match each linear system with one of the phase plane direction fields. (The blue lines are the arrow shafts, and the black dots are the arrow tips.) ? 1. 1 →/ = ? 2. [12 = ? 2. X = X = ? 3. -2 10 1 -3 2 X = 12 10 -8 4 ? 4. 23 101 22 3 3 -8 18 x 18 A B C D
Match b and a system representation to its corresponding difference equation y[n] = -1.46x[n] - 3.53x[n-1] + 3.93x[n-2] - 2.86y[n-1] - 4.1y[n-2] -0.65y[n-3] y[n] = -1.46x[n] - 3.53x[n-1] + 3.93x[n-2] + 2.86y[n-1] + 4.1y[n-2] + 0.65y[n-3] y[n] = 1.46x[n] + 3.53x[n-1] - 3.93x[n-2] + 2.86y[n-1] + 4.1y[n-2] + 0.65y[n-3] y[n] = -1.46x[n] - 3.53x[n-1] - 3.93x[n-2] + 2.86y[n-1] + 4.1y[n-2] + 0.65y[n-3] y[n] = 1.46x[n] + 3.53x[n-1] - 3.93x[n-2] - 2.86y[n-1] - 4.1y[n-2] -0.65y[n-3] 1. 2. 3. 4. 5. b = [-1.46 -3.53 3.93]; a = [1 2.86 4.1 0.65] b = [-1.46 -3.53 -3.93]; a = [1 -2.86 -4.1 -0.65] b = [-1.46 -3.53 3.93]; a = [1 -2.86 -4.1 -0.65] b = [1.46 3.53 -3.93]; a = [1 2.86 4.1 0.65] b = [1.46 3.53 -3.93]; a = [1 -2.86 -4.1 -0.65]
3. Use LU Factorization to solve the Linear System below. Highlight the acquired [U], [L], [d] and the root matrix. 2x + y 2z = -1 3x - 3y-z=5 x-2y+3z = 6
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Find the solution to the linear system using Gaussian elimination.
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Activity 2: By applying Kirchhoff's current law in an DC circuit with three nodes. The three nodes' voltages (V₁, V₂ and V₂) can be characterized by the following equations: 5V₂ + 2(V₁ - V₂) + V3-24 = 0 2(V₂-V₁) + 4V₂ + (V₂-V₂) - 12 = 0 (V3-V₁) +2(V₂-V₁) = 0 (2-A) Rearrange the above three equations into a standard matrix form. (2-B) Find V₁, V2, and V3 using the inverse matrix method. (2-C) Find V₁, V2, and V3 using the Gaussian elimination method. (2-D) Verify your answer using MATLAB.
M4

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Given the state space representation. 0 1 x₁ []-[2]]-g -3 y=[1 O a. then the transfer function of the system is: O b. X₂ O d. 2 (S+3) 1 ((S+3)(S+2)) OC. (5+3) (S+2) + u 2 (S+2)