Abstract: In this paper we consider optimal control of constrained, discontinuous, discrete-time, piecewise affine systems with state and input dependent disturbances. We seek to precompute, via ...

In this paper, boundary regions of 1-D linear piecewise-smooth discontinuous map are examined analytically. It is shown that, under certain parameter conditions, the map exhibits atypical orbits like ...

Distorted wave Born series are derived for the impedance equation [A − 1(d/d x)A(d/d x)+k 2]p=0, where A is a piecewise differentiable function. The first and second orders are given explicitly. They ...