Frequency Response Function (FRF) estimation from measured data is an essential step in the design, control, and analysis of complex dynamical systems, including thermal motion systems. Especially for systems that require long measurement time, missing samples record, e.g., due to interruptions, often occur. The aim this paper achieve accurate identification non-parametric FRF models periodical...

The paper addresses the realization and identification problem for a subclass of piecewise-affine hybrid systems. The paper provides necessary and sufficient conditions for existence of a realization by a piecewise-affine hybrid system. The paper also proposes an identification algorithm for this subclass of hybrid systems. The considered system class and the identification problem are motivate...

Systems theory is a well-established and mature area of engineering research, where many strong general mathematical results are available. Especially the analysis of linear identification and control systems have been pursued by many researchers leading to a complete understanding of various mechanisms that are effective in the stability, controllability and observability of these. Due to the ...

Introduction In order to improve the quality of life of amputees, biomechatronic researchers and biomedical engineers have been trying to use a combination of various techniques to provide suitable rehabilitation systems. Diverse biomedical signals, acquired from a specialized organ or cell system, e.g., the nervous system, are the driving force for the whole system. Electromyography(EMG), as a...

Analogous to the identification of continuous dynamical systems, identification of discrete-event systems DESs consists of determining the mathematical model that describes the behaviour of a given ill-known or eventually unknown system from the observation of the evolution of its inputs and outputs. First, the paper overviews identification approaches of DES found in the literature, and then i...

The aim of this work is to describe the qualitative behavior of the solution set of a given system of fractional differential equations and limiting behavior of the dynamical system or flow defined by the system of fractional differential equations. In order to achieve this goal, it is first necessary to develop the local theory for fractional nonlinear systems. This is done by the extension of...

The main goal of the present paper is to extend classical results from the measure theory and dynamical systems to the fuzzy subset setting. In this paper, the notion of  dynamic equivalence relation is introduced and then it is proved that this relation is an equivalence relation. Also, a new metric on the collection of all equivalence classes is introduced and it is proved that this metric is...

It is demonstrated that neural networks can be used effectively for the identification and control of nonlinear dynamical systems. The emphasis is on models for both identification and control. Static and dynamic backpropagation methods for the adjustment of parameters are discussed. In the models that are introduced, multilayer and recurrent networks are interconnected in novel configurations,...