Stability and Limit Oscillations of a Control Event‐Based Sampling Criterion

M De la Sen, JC Soto, A Ibeas - Journal of Applied …, 2012 - Wiley Online Library
This paper investigates the presence of limit oscillations in an adaptive sampling system.
The basic sampling criterion operates in the sense that each next sampling occurs when the …

Oscillatory behavior in linear difference equations under unmodeled dynamics and parametrical errors

M De la Sen - Mathematical Problems in Engineering, 2007 - Wiley Online Library
This paper investigates the presence of oscillating solutions in time‐varying difference
equations even in the case when there exist parametrical errors (ie, errors in the sequences …

Kepler's equation and limit cycles in a class of PWM feedback control systems

A Eisinberg, G Fedele, D Frascino - Nonlinear Dynamics, 2010 - Springer
The aim of this paper is to point out some new results concerning the ripple instability in the
closed-loop control system using pulse width modulators (PWM), with natural sampling, as …

Approximate solutions by truncated taylor series expansions of nonlinear differential equations and related shadowing property with applications

M De la Sen, A Ibeas, R Nistal - Abstract and Applied Analysis, 2014 - Wiley Online Library
This paper investigates the errors of the solutions as well as the shadowing property of a
class of nonlinear differential equations which possess unique solutions on a certain interval …

Strong and weak oscillatory behavior in time-varying linear difference equations of arbitrary order in the presence of unmodeled dynamics and nominal parametrical …

M De la Sen - Applied mathematics and computation, 2008 - Elsevier
This paper is devoted to investigate the presence of oscillating solutions in time-varying
difference equations of arbitrary nth order even in the case when there are parametrical …

[PDF][PDF] Describing function-based analysis of a class of PWM feedback control systems

A Eisinberg, P Muraca, G Palmieri… - EUROPEAN …, 1997 - academia.edu
This paper discusses the application of the dual-input describing function method to the
analysis of closed loop pulse width modulated systems. Such method is here considered …

Analysis of Nonlinear Sustained Oscillations in Discrete Systems with Backlash and Resolution by Using a Discretization-Oriented Describing Function

M Sen, A Pena, J Esnaola - Turkish Journal of Electrical …, 1998 - journals.tubitak.gov.tr
In this paper, a discretization-oriented describing function is derived for nonlinear devices
combining backlash and quantization (resolution) while being subject to discretization …

Event-based generation of approximate solutions of nonlinear differential equations

M de la Sen, R Nistal, A Ibeas - Proceedings of the 2014 IEEE …, 2014 - ieeexplore.ieee.org
This paper investigates the error between the approximate and exact solutions of a class of
nonlinear differential equations which possess unique solution on a certain interval for any …

[PDF][PDF] Research Article Stability and Limit Oscillations of a Control Event-Based Sampling Criterion

M De la Sen, JC Soto, A Ibeas - 2012 - academia.edu
This paper investigates the presence of limit oscillations in an adaptive sampling system.
The basic sampling criterion operates in the sense that each next sampling occurs when the …

[引用][C] Approximate Solutions by Truncated Taylor Series Expansions of Nonlinear Differential Equations and Related Shadowing Property with Applications

M De la Sen Parte, A Ibeas Hernández… - 2014 - Hindawi Publishing