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# System Models

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Consider the system modeled by:

x' = Ax + Bu , y = Cx + Du

where dim x=2 and dim u = dim y = 1

a) Given u=0 and the initial-state responses

1
x(0) = &#61535; y(t) = e-t&#8722; 0.5e-2t
0.5

-1
and x(0) = &#61535; y(t) = &#8722; 0.5 e-t &#8722; e-2t
1

2
Find the Initial state response for x(0) =
0.5

b) Suppose that u is a unit step input

1
x(0) = &#61535; y(t) = 0.5&#8722; 0.5e-t + e-2t
1

2
and x(0) = &#61535; y(t) = 0.5 &#8722; e-t + 1.5e-2t
2

Find y(t) when u is a unit step and x(0) = 0

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#### Solution Preview

Please see the attached file.

Consider the system modeled by:

x' = Ax + Bu , y = Cx + Du

where dim x=2 and dim u = dim y = 1

a) Given u=0 and the initial-state responses

1
x(0) =  y(t) = e-t− 0.5e-2t
...

#### Solution Summary

This Solution contains calculations to aid you in understanding the Solution to these questions.

\$2.19

## Organizational Models: Open Systems Theory

See the attached file.

Explain the purpose and the value of conducting a diagnosis

Briefly evaluate each of the models presented in the background reading by Falletta. Do not merely describe the models, comment on their strengths and weaknesses, and specifically indicate what type of organizational problem or functional area would benefit from an analysis using each model.

Once you have discussed each of the eleven models, their strengths and weaknesses, and how they could best be applied, identify the model(s) that you would choose for use in your analysis of PetMeds. Clearly explain issue(s) would you be most concerned about and why your selection(s) would be the best choice(s).

In evaluating the models, be sure to go beyond mere description and discuss them in terms of strengths, weakness, similarities, differences, etc. Stress critical thinking! Use these insights to support and justify your assessment of the appropriateness of these models to PetMeds.

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