By Leslaw Golębiowski, Damian Mazur
This ebook offers the chosen result of the XI medical convention chosen problems with electric Engineering and Electronics (WZEE) which was once held in Rzeszów and Czarna, Poland on September 27-30, 2013. the most goal of the convention used to be to supply academia and to debate and current the newest technological merits and examine effects and to combine the recent interdisciplinary clinical circle within the box of electric engineering, electronics and mechatronics. The convention was once equipped by means of the Rzeszów department of Polish organization of Theoretical and utilized electric Engineering (PTETiS) in cooperation with Rzeszów college of expertise, the school of electric and machine Engineering and Rzeszów college, the school of arithmetic and typical Sciences.
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Advances in Difference Equations, Springer Open Journal (2011) 11. Sarwas G (2008) Modeling supercapacitors using fractional calculus, Institute of Electrotechnics Works, Issue 239, pp 17–28 (2008) (in Polish) 12. Westerlund S, Ekstam L (1994) Capacitor theory. IEEE Trans Dielectr Electr Insul 1 (5):826–839 13. Dzieliński A, Sierociuk D, Sarwas G (2009) Ultracapacitor parameters identiﬁcation based on fractional order model. In: Proceedings of European control conference 2009, Budapest, Hungary, ECC’2009, 23–26 August 2009 14.
Thus, each simple object of the complex system has a suitable local model. The output of the simple object Pr is the input to the next local model Mr+1. For such models special back propagation leaning algorithms should be developed. As a model a feedforward multilayer neural network with TDL is used. Fig. 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.
Now the question is, how to properly select the weighting factors a. In case when complex system consists of two simple objects the synthetic criterion contains three elements, as follow: 2 2 ð2Þ ð2Þ ð1Þ ð1Þ Qs ðWÞ ¼ a0 ^yj ðk þ 2Þ À yj ðk þ 2Þ þ a1 yj ðk þ 1Þ À yj ðk þ 1Þ 2 ð2Þ ð2Þ þ a2 yj ðk þ 2Þ À yj ðk þ 2Þ ð4Þ The formula (4) contains two factors a1 and a2 for local models and one factor a0 for the global model. For which the weighting factors α can be obtained an optimal global model?