4. You are given the state space representation of a dynamic system, with $A = \begin{bmatrix} 0 & 1 \\ -64 & 2 \end{bmatrix}$, $B = \begin{bmatrix} 0 \\ 64 \end{bmatrix}$ a) (5 points) Determine the eigen values of this system. Show all your work for full credit. b) (2 points) Is this a stable system; explain. c) (3 points) Draw a conceptual sketch of response of this system when disturbed from its equilibrium. That is $x_0 = \begin{bmatrix} 0.5 \\ 0 \end{bmatrix}$

Name: 4 you are given the state space representation of a dynamic system with a beginbmatrix 0 1 64 2 endbmatrix b beginbmatrix 0 64 endbmatrix a 5 points determine the eigen values of this system 25802
Uploaded: 2024-07-08T04:50:39-08:00
Duration: 2 min 35 s
Channel: Adi S
Description: 4 you are given the state space representation of a dynamic system with a beginbmatrix 0 1 64 2 endbmatrix b beginbmatrix 0 64 endbmatrix a 5 points determine the eigen values of this system 25802

          4. You are given the state space representation of a dynamic system, with $A = \begin{bmatrix} 0 & 1 \\ -64 & 2 \end{bmatrix}$, $B = \begin{bmatrix} 0 \\ 64 \end{bmatrix}$
a) (5 points) Determine the eigen values of this system. Show all your work for full credit.
b) (2 points) Is this a stable system; explain.
c) (3 points) Draw a conceptual sketch of response of this system when disturbed from its equilibrium. That is $x_0 = \begin{bmatrix} 0.5 \\ 0 \end{bmatrix}$

4 you are given the state space representation of a dynamic system with a beginbmatrix 0 1 64 2 endbmatrix b beginbmatrix 0 64 endbmatrix a 5 points determine the eigen values of this system 25802

Added by Chelsea S.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

07/08/2024

Step 1

Step 1: To find the eigenvalues of the system, we need to solve the characteristic equation, which is given by $|A - \lambda I| = 0$, where $A$ is the system matrix, $\lambda$ represents the eigenvalues, and $I$ is the identity matrix. Show more…

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4. You are given the state space representation of a dynamic system, with $A = \begin{bmatrix} 0 & 1 \\ -64 & 2 \end{bmatrix}$, $B = \begin{bmatrix} 0 \\ 64 \end{bmatrix}$ a) (5 points) Determine the eigen values of this system. Show all your work for full credit. b) (2 points) Is this a stable system; explain. c) (3 points) Draw a conceptual sketch of response of this system when disturbed from its equilibrium. That is $x_0 = \begin{bmatrix} 0.5 \\ 0 \end{bmatrix}$