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Titlebook: Non-Integer Order Calculus and its Applications; 9th International Co Piotr Ostalczyk,Dominik Sankowski,Jacek Nowakowski Conference proceed

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书目名称Non-Integer Order Calculus and its Applications
副标题9th International Co
编辑Piotr Ostalczyk,Dominik Sankowski,Jacek Nowakowski
视频video
概述Presents novel advances in both the theory and applications of non-integer order systems.Focuses mainly on control and electrical engineering, biomedical engineering, and systems theory.Includes outco
丛书名称Lecture Notes in Electrical Engineering
图书封面Titlebook: Non-Integer Order Calculus and its Applications; 9th International Co Piotr Ostalczyk,Dominik Sankowski,Jacek Nowakowski Conference proceed
描述This book focuses on fractional calculus, presenting novel advances in both the theory and applications of non-integer order systems. At the end of the twentieth century it was predicted that it would be the calculus of the twenty-first century, and that prophecy is confirmed year after year. Now this mathematical tool is successfully used in a variety of research areas, like engineering (e.g. electrical, mechanical, chemical), dynamical systems modeling, analysis and synthesis (e.g technical, biological, economical) as well as in multidisciplinary areas (e.g. biochemistry, electrochemistry)..As well as the mathematical foundations the book concentrates on the technical applications of continuous-time and discrete-time fractional calculus, investigating the identification, analysis and control of electrical circuits and dynamical systems. It also presents the latest results..Although some scientific centers and scientists are skeptical and actively criticize the applicability of fractional calculus, it is worth breaking through the scientific and technological walls. Because the “fractional community” is growing rapidly there is a pressing need for the exchange of scientific result
出版日期Conference proceedings 2019
关键词Electrical Engineering; Non-Integer Systems; Fractional Systems; Non-Integer Order Calculus; Non-Integer
版次1
doihttps://doi.org/10.1007/978-3-319-78458-8
isbn_softcover978-3-030-08702-9
isbn_ebook978-3-319-78458-8Series ISSN 1876-1100 Series E-ISSN 1876-1119
issn_series 1876-1100
copyrightSpringer International Publishing AG, part of Springer Nature 2019
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Non-invasive Control of the Fractional Hegselmann–Krause Type Modelch a consensus in such a way that the control mechanism is included in the leader dynamics. Necessary optimality conditions are obtained by the use of a fractional counterpart of Pontryagin Maximum Principle. The effectiveness of the proposed control strategy is illustrated by numerical examples.
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Grünwald-Letnikov-Laguerre Modeling of Discrete-Time Noncommensurate Fractional-Order State Space LTwerful Grünwald-Letnikov-Laguerre (GLL) combination of finite fractional difference (FFD) and finite Laguerre-based difference (FLD) to obtain finite fractional/Laguerre-based difference (FFLD). The multivariable FFLD is effectively employed to model noncommensurate fractional-order state-space LTI MIMO systems.
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The AQM Dropping Packet Probability Function Based on Non-integer Order , ControllerIn this paper we present the probability function based on PID controller with non-integer integral and derivative orders. We present how to change the probability of packet dropping during continuous increase in buffer occupancy. The shape of the probability function strictly depends on the parameters selection.
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Stability Analysis of Fractional Discrete-Time Linear Scalar Systems with Pure DelayIn the paper the stability problems of fractional discrete-time linear scalar systems with pure delay are considered. Using the classical D-partition method, the necessary and sufficient condition for practical and asymptotic stability are given. The considerations are illustrated by numerical examples.
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Duality Properties of Variable-Type and -Order DifferencesIn the paper, properties between different types of variable-type and -order differences are studied. It is shown that so called duality property, i.e., composition of two differences yields original function, holds only between some specific types of differences. The obtained result is illustrated by simulation examples.
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