By Leslaw Golębiowski, Damian Mazur

ISBN-10: 3319112473

ISBN-13: 9783319112473

ISBN-10: 3319112481

ISBN-13: 9783319112480

This e-book provides the chosen result of the XI medical convention chosen problems with electric Engineering and Electronics (WZEE) which used to be held in Rzeszów and Czarna, Poland on September 27-30, 2013. the most objective of the convention used to be to supply academia and to debate and current the newest technological benefits and examine effects and to combine the recent interdisciplinary medical circle within the box of electric engineering, electronics and mechatronics. The convention was once geared up by means of the Rzeszów department of Polish organization of Theoretical and utilized electric Engineering (PTETiS) in cooperation with Rzeszów collage of know-how, the school of electric and machine Engineering and Rzeszów collage, the college of arithmetic and traditional Sciences.

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For example, using high-pass ﬁrst order signal ﬁlters with ωc cutoff angular frequency described by transfer function: KHPF ðjxÞ ¼ jx ; jx þ xc ð13Þ we obtain the following transfer functions: Gþ ðjxÞ ¼ jx À jx0 ¼ KHPF ðjx À jx0 Þ; jx À jx0 þ xc ð14Þ GÀ ðjxÞ ¼ jx þ jx0 ¼ KHPF ðjx þ jx0 Þ: jx þ jx0 þ xc ð15Þ As an effect of components ﬁltration which are the result of Park transformation (and inverse transform), we obtain a shift in the frequency of the used signal ﬁlters characteristics. In case of positive components, the shift occurs in the positive direction by the value of ω0 angular frequency.

1 A dynamic complex system and their dynamic global model with regard to local models using TDL 38 G. Drałus The complex dynamic global model consists of dynamic simple models, connected in series, like the complex system. Physically the simple model Mr and the local model Mr is the same model. They only differ in the input signals and way of learning. Local models will be used to build a global model taking into account the quality of local models. In the global model with regard to local models, for each the r-th dynamic local model is deﬁned a local quality criterion as the difference between the output yðrÞ of the r-th local model and the output yðrÞ of the r-th simple object respectively, for all K (k = 1, 2, …, K) discrete time samples: ðrÞ Qd ðwðrÞ Þ ¼ Jr K X 2 1X ðrÞ ðrÞ yj ðk þ rÞ À yj ðk þ rÞ 2 k¼1 j¼1 ð1Þ where: Jr is the number of outputs of the r-th simple object, wðrÞ is the set of parameters of the r-th simple model and local model.

4 A Complex Backpropagation Learning Algorithm for the Global Model with Regard to Local Models for Dynamic Complex System To develop the learning algorithm for multilayer neural networks, of which dynamic global model with regard to local models is constructed, it was necessary to modify and adapt one of a gradient back propagation algorithms [10]. In this modiﬁcation have to be considered that, the complex model consists of a static neural networks with tapped delay lines and feedback loop from the complex 40 G.

### Analysis and Simulation of Electrical and Computer Systems by Leslaw Golębiowski, Damian Mazur

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