This paper presents an experimental evaluation of two design methods for including integral action in ∞ controllers. There are two basic possibilities for doing that: (i) the specification of an integral weighting of the regulation error; or (ii) the direct inclusion of an integrator in series with the plant control input. The GS/T mixed sensitivity scheme has been employed, in order to avoid t...

The concept of generalized order statistics (GOSs) was introduced as a unified approach to a variety of models of ordered random variables. The purpose of this paper is to investigate condi- tions on the underlying distribution functions and the parameters on which GOSs are based, to establish Shaked-Shanthikumar multivari- ate dispersive ordering of GOSs from one sample and Khaledi-Kochar mu...

Under complex grid conditions, the voltage usually has an imbalance, low order harmonics, and a small of DC bias. When contains harmonics amount bias component, inverter's output current cannot meet connection requirements, there is three-phase imbalance in control strategy common VSG under unbalanced voltage. A theoretical analysis non-ideal power grids carried out, operating conditions propos...

Abstract In this paper, we study the generalized order- Jacobsthal sequences modulo for and the generalized order-k Jacobsthal-Padovan sequence modulo for . Also, we define the generalized order-k Jacobsthal orbit of a k-generator group for and the generalized order-k Jacobsthal-Padovan orbit a k-generator group for . Furthermore, we obtain the lengths of the periods of the generalized order-3 ...

In this paper we consider a three-parameter system of Boussinesq/Boussinesq type, modeling the propagation internal waves. Some theoretical and numerical properties systems were previously analyzed by authors. As second part study, present is concerned with analysis existence simulation some issues dynamics solitary-wave solutions. Standard theories are used to derive several results classical ...

This paper presents a Lie-Trotter splitting for inertial Langevin equations (Geometric Langevin Algorithm) and analyzes its long-time statistical properties.The splitting is defined as a composition of a variational integrator with an Ornstein-Uhlenbeck flow. Assuming the exact solution and the splitting are geometrically ergodic, the paper proves the discrete invariant measure of the splitting...