The algebraic study of special integral operators led to the notions Rota-Baxter and shuffle products which have found broad applications such as iterated integrals. This paper carries out an general equations, shows that there are rich structures underlying Volterra corresponding equations. First shown produce a matching twisted algebra satisfying integration-by-parts operator identities. In o...

In this paper, an optimal artificial neural network (ANN) controller for load frequency control (LFC) of a four-area interconnected power system with non-linearity is presented. A feed forward multi-layers and Bayesian regularization backpropagation (BRB) training function used. This designed on the basis theory to overcome problem as changes in system. The comprised transfer models twothermal ...

This paper presents a behavioral representation for the class of Nyquist rate A/D converters that captures the nominal behavior , as well as all the statistical variations. To describe noise eeects we use a joint probability density function. To describe behavioral eeects due to process variations we use a covariance matrix, t. Applications of the model include identiication of important A/D er...

2014 After some numerical experience, we developed a technique allowing the fast computation of an integral appearing in the mathematical study of the diffraction rings produced by the self phase modulation of a Gaussian laser beam through a non linear thin film. The results obtained by means of a simple microcomputer (IBM-PC) are shown to may be used for the deduction of the non linearity prop...

This paper presents the design and implementation of a new digital-to-time converter (DTC). The obtained resolution is 1.02 ps, and the dynamic range is about 590 ns. The experimental results indicate that the measured differential nonlinearity (DNL) and integral nonlinearity (INL) are −0.17~+0.13 LSB and −0.35~+0.62 LSB, respectively. This DTC builds coarse and fine Vernier delay lines constru...