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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
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.
Integral Sliding Modes with Nonlinear [H.sub.[infinity]]-Control for Time-Varying Minimum-Phase Underactuated Systems with Unmatched Disturbances
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.
A simple exact penalty function method for optimal control problem with continuous inequality constraints
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