define a piecewise function whose parameters change on each segment

hello I,m trying to write a code to define this piecewise function. the function contains two sub-functions:

v_on(A,B,t) = (define function)
v_off(A,B,t) = (define function)

A & B are parameters given in a matrix and depend on time interval. for example:

A=[1 3 5 2 7]
B=[1 5 8 4 9]

the boundaries which define the time intervals are given in a vector. for example:

tb=1e-3*[1 3 4 5 7]

ok now we must calculate this function:

V(t)=v_on(A(1),B(1),t)  if tb(1)<t<tb(2)
V(t)=v_off(A(2),B(2),t)  if tb(2)<t<tb(3)
V(t)=v_on(A(3),B(3),t)  if tb(3)<t<tb(4)

and so on. I could do it using loops and it works fine. but the code is too complex that if I want to change a few parameters I'd have to review it all over. I was wondering it would be definitely possible by using matrices and arrays.

Answer 1

[Abraham Boayue]

Check this link. It provides a vectorized method of implementing a piecewise function. https://www.mathworks.com/matlabcentral/answers/400802-solve-a-system-of-differential-equations-with-a-piecewise-function#answer_320538

[hosein Javan]

I forgot to mention that A,B and tb are very long vectors. the method in the link defines a small number of interval piecewise but here we are dealing with a large number of intervals. thanks for answering.