Given a positive integer m, A is constant along open intervals m < x < m + 1, and has a jump discontinuity at each integer for which a(m) ≠ 0.
In particular, it is well known that any discontinuities in a function reduce the rate of convergence of the Fourier series, so that more sinusoids are needed to represent the function with a given accuracy.
Thus, the notion of stage is discontinuous, having the same transitional gaps as the orders of hierarchical complexity.
Variable structure control (VSC) is a form of discontinuous nonlinear control.
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