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 ...

Abstract: We propose a novel characterization of piecewise-defined barrier functions for certifying forward invariant sets of piecewise continuous dynamical systems. Forward invariance is established ...

This is a PyTorch implementation of my tensorflow repository and is more complete due to the flexibility of PyTorch. Lagrange Polynomial, Piecewise Lagrange Polynomial, Discontinuous Piecewise ...

Commonly, in Ordinary Differential Equations courses, equations with impulses or discontinuous forcing functions are studied. In this context, the Laplace Transform of the Dirac delta function and ...