Use the Matlab function EXPM()

Given the attached State Equation and initial condition:

(a) Use the Matlab function EXPM() to compute a numerical representation for the Matrix Exponential. You will need to establish a time vector that has an appropriate time resolution and an appropriate time duration to numerically capture the time dependency of each element in the matrix exponential.

(b) Use the Symbolic Toolbox with the EXPM() function in Matlab to generate a

symbolic representation for the Matrix Exponential.

(c) Numerically evaluate the symbolic representation from (b) using the same time

vector from (a).

(d) Generate an analytic representation for the Matrix Exponential using Laplace

Transforms. You should do this problem by hand, but you are welcome to use

the Symbolic Toolbox in Matlab to check your result.

(e) Numerically evaluate the symbolic representation from (d) using the same time

vector from (a).

(f) Use Matlab to generate a plot of all elements in the Matrix Exponential. In this

plot, you must compare the numerical results from (a), (c), and (e). Your subplots

must be properly annotated and clearly show all three curves in the comparison.

(Hint: If you did the problem correctly, the numerical results should be identical.

If you plot three identical curves on top of each other, you will only be able to

see the last one plotted. You need to show all three identical curves without

[Walter Roberson]

http://www.mathworks.com/matlabcentral/answers/6200-tutorial-how-to-ask-a-question-on-answers-and-get-a-fast-answer

[Rik]

Regarding the flag by @ahmed dalatony ("delete the the content, please"):

Why do you want to delete the content?

Use the Matlab function EXPM()

Given the attached State Equation and initial condition:

(a) Use the Matlab function EXPM() to compute a numerical representation for the Matrix Exponential. You will need to establish a time vector that has an appropriate time resolution and an appropriate time duration to numerically capture the time dependency of each element in the matrix exponential.

(b) Use the Symbolic Toolbox with the EXPM() function in Matlab to generate a

symbolic representation for the Matrix Exponential.

(c) Numerically evaluate the symbolic representation from (b) using the same time

vector from (a).

(d) Generate an analytic representation for the Matrix Exponential using Laplace

Transforms. You should do this problem by hand, but you are welcome to use

the Symbolic Toolbox in Matlab to check your result.

(e) Numerically evaluate the symbolic representation from (d) using the same time

vector from (a).

(f) Use Matlab to generate a plot of all elements in the Matrix Exponential. In this

plot, you must compare the numerical results from (a), (c), and (e). Your subplots

must be properly annotated and clearly show all three curves in the comparison.

(Hint: If you did the problem correctly, the numerical results should be identical.

If you plot three identical curves on top of each other, you will only be able to

see the last one plotted. You need to show all three identical curves without

Answer 1

[David Wilson]

I'll get you going on part (b):

syms t positive 
A = sym([0,-5;1,-2]);
Phi = expm(A*t)