piecewise-continuous function

piecewise-continuous function

[¦pēs‚wīz kən¦tin·yə·wəs ′fəŋk·shən]
(mathematics)
A function defined on a given region, which can be divided into a finite number of pieces such that the function is continuous on the interior of each piece and its value approaches a finite limit as the argument of the function in the interior approaches a boundary point of the piece.
References in periodicals archive ?
The space [L.sub.2] consists in the set of all piecewise-continuous function u such that
Let z [member of] [R.sup.n] and w [member of] [R.sup.n] be piecewise-continuous functions, denoting the output and the input of a system, respectively.
A piecewise-continuous function u : [0, T] [right arrow] R satisfying u(t) [member of] U for almost all t [member of] [0, T] is called an admissible control.