On the consistency of local fractional semilinear Duhem model
Autor: | Mohammad Fuad Mohammad Naser, Bashir Al-Hdaibat, Omar M. Bdair, Ghaleb Gumah |
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Rok vydání: | 2020 |
Předmět: |
0209 industrial biotechnology
Control and Optimization Mechanical Engineering 02 engineering and technology 01 natural sciences Hysteresis 020901 industrial engineering & automation Causal system Control and Systems Engineering Consistency (statistics) Modeling and Simulation 0103 physical sciences Applied mathematics Electrical and Electronic Engineering 010301 acoustics Civil and Structural Engineering Mathematics |
Zdroj: | International Journal of Dynamics and Control. 8:723-729 |
ISSN: | 2195-2698 2195-268X |
Popis: | In this paper, we introduce the local fractional semilinear and the local fractional Dahl models and investigate their consistency with hysteresis. The notion of consistency was initially introduced in Ikhouane (Math Control Signals Syst 25:294–310) to analyze the hysteretic behavior of causal systems and to describe analytically the so-called “hysteresis loops”. The validity of our results is confirmed by numerical simulations. |
Databáze: | OpenAIRE |
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