Summation with for LOOP

Hello,

I have a function y that is repeated after a certain interval of T. I want to add the value of the previous y to the next value. The proplem is more clear with a diagram as shown below

I want to add the value of the each T to like,

How can I sumUp all the inteaction with a for Loop,like this expression?

here is my code for info

clear
clc

x = linspace(0,50,1000);
v = 10;
a = 0.2254; b = 0.5401;
xT = 0;
for i = 1:4
    xT = xT+v;


y = @(x) ((a*((x-xT)).^-b).*(x>=(xT+1))).^2;
figure(3)
hold on
plot(x,y(x))
end

Merci

Answer 1

[Mathieu NOE]

hello

a simple add on to your code :

clear
clc
x = linspace(0,50,1000);
v = 10;
a = 0.2254; b = 0.5401;
xT = 0;
ysum = 0;

for i = 1:4
    xT = xT+v;
y = @(x) ((a*((x-xT)).^-b).*(x>=(xT+1))).^2;
ysum = ysum + y(x);
figure(3)
hold on
plot(x,y(x))
end

plot(x,ysum,'--')

[Kabir Shariff]

Thank you, It works!

could you explain to ysum please.

I see its a matrix, My initial idea was to use just the last value at the next T

[Mathieu NOE]

my pleasure

the concept is quite simple

at each loop iteration the new y data (y(x)) is summed with the previous one util the nd of the loop. It's doable because every y data comes from the same x data , so you can simply do this y summation and plot it against x;