MATLAB Answers

computing a sequence of vectors

32 views (last 30 days)
genevois pierre
genevois pierre on 31 Dec 2020
Answered: Birdman on 13 Jan 2021
the sequence is defined, for i = 1:n, by this vectorial recurrence relation :
[A(i+1); B(i+1)] = Q * [A(i); B(i)] + [C; D]
with Q = [-(L+d)/d, L/d; -L/d, (L-d)/d]
and [C; D] = 0.5 * q * sin(alpha) * [L + d; L^2/d]
Where n, L, d, q, alpha are given constants
I want to compute symbollically [A(i); B(i)] as a function of [A(n); B(n)], which is known.
How to model in matlab the quantities [A(i); B(i)] for i = 1:n ?

  0 Comments

Sign in to comment.

Accepted Answer

Birdman
Birdman on 13 Jan 2021
Try the following code:
n=1;L=1;d=1;q=1;%randomly given
syms alpha
C=0.5*q*sin(alpha)*[L+d];
D=0.5*q*sin(alpha)*[L^2/d];
Q=[-(L+d)/d,L/d;-L/d,(L-d)/d];
n=10;%randomly given
A=sym(zeros(n,1));B=sym(zeros(n,1));%preallocation
for i=1:n
temp=Q*[A(i);B(i)]+[C;D];
A(i+1)=temp(1);
B(i+1)=temp(2);
end
Then display the values to see if they are correctly obtained.

  0 Comments

Sign in to comment.

More Answers (0)

Products


Release

R2019a

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by