matlab piecewise

A piecewise function in Matlab is defined using the "piecewise" function, which is part of the Symbolic Math Toolbox. The general syntax for defining a piecewise function is:

f = piecewise(condition1, expression1, condition2, expression2, ...)

where:

- condition1, condition2, ... are the conditions that define the different pieces of the function. Each condition is a logical expression that evaluates to true or false.
- expression1, expression2, ... are the expressions that define the values of the function for each piece. Each expression can be either a symbolic expression or a numeric value.

For example, let's define a piecewise function that represents the absolute value of x:

syms x
f = piecewise(x < 0, -x, x >= 0, x)

This defines a symbolic function f that is equal to -x for x < 0 and x for x >= 0. We can evaluate this function for a specific value of x using the "subs" function:

subs(f, x, -2)

This returns 2, which is the absolute value of -2. Similarly, we can evaluate the function for x = 2:

subs(f, x, 2)

This returns 2, which is the absolute value of 2.