submerged breakwaters are one of the shore protective structures. any discontinuity in these breakwaters causes changes on current parameters including speed and water surface profile. in this paper, discontinuous submerged breakwaters were modelled to investigate the changes in the wave and flow pattern.to investigate the phenomenon, three models including a shore with constant slope, a shore ...

In this work we address the problem of nonlinear output regulation of an underactuated system by means of discontinuous control actions, in particular, the sliding mode output regulator problem in the case of error feedback is considered for the Pendubot system. The theory is revisited for nonlinear systems presented in the so-called Regular form. Simulations are carried out to verify the effec...

Article history: Received 23 April 2015 Received in revised form 3 February 2016 Accepted 31 March 2016 Available online xxxx I would like to dedicate this work to my Father, Ahmed Baccouch, who unfortunately passed away during the completion of this work

In this paper, we investigate dynamical behaviors of a large class of delayed differential systems with discontinuous right-hand side. This class of delayed differential systems includes Hopfield and Cellular neural networks with discontinuous activations as special cases. We prove that under some mild conditions, this system has a unique almostperiodic solution, which is globally exponential s...

A combined method consisting of the mixed finite element method for flow and the discontinuous Galerkin method for transport is introduced for the coupled system of miscible displacement problem. A “cut-off” operatorM is introduced in the discontinuous Galerkin formular in order to make the combined scheme converge. Optimal error estimates in L(H) for concentration and in L(L) for velocity are ...

Hybrid system models combine continuous behavior evolution with discrete mode transitions. These transitions may cause discontinuous changes in the field that defines continuous system behavior and the variable values associated with the continuous state vector. In reality, these discontinuous changes are fast continuous transients. To simplify the analysis of these transients time scale and pa...

We study the inverse problem of the simultaneous identification of two discontinuous diffusion coefficients for a one-dimensional coupled parabolic system with the observation of only one component. The stability result for the diffusion coefficients is obtained by a Carleman-type estimate. Results from numerical experiments in the one-dimensional case are reported, suggesting that the method m...

We introduce a new method for incremental shift-reduce parsing of discontinuous constituency trees, based on the fact that discontinuous trees can be transformed into continuous trees by changing the order of the terminal nodes. It allows for a clean formulation of different oracles, leads to faster parsers and provides better results. Our best system achieves an F1 of 80.02 on TIGER.

This work presents the arguments for the possibility of approximating some discontinuous dynamical systems with continuous or even smooth dynamical systems. The discontinuous di€erential equation, which describes the system, is transformed into a di€erential inclusion and then into a di€erential equation with continuous or smooth right-hand side. As an example a generalization of the equations ...