Analysis, Modeling and Stability of Fractional Order Differential Systems 1: The Infinite State Approach
暫譯: 分數階微分系統的分析、建模與穩定性 1：無限狀態方法

Jean-Claude Trigeassou, Nezha Maamri

Analysis, Modeling and Stability of Fractional Order Differential Systems 1: The Infinite State Approach
  • 出版商: Wiley-Iste
  • 出版日期: 2019-09-11
  • 售價: $5,680
  • 貴賓價: 9.5 折 $5,396
  • 語言: 英文
  • 頁數: 316
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1786302691
  • ISBN-13: 9781786302694

    • 海外代購書籍(需單獨結帳)

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商品描述

This book introduces an original fractional calculus methodology ('the infinite state approach') which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation.

商品描述(中文翻譯)

本書介紹了一種原創的分數微積分方法論（「無限狀態方法」），該方法應用於分數階微分方程（FDEs）和系統（FDSs）的建模。其建模基於頻率分佈的分數積分器，而所得到的模型對應於整數階和無限維狀態空間表示。這種原創的建模方法使整數階系統的理論概念能夠推廣到分數階系統，特別強調了卷積形式的應用。

作者簡介

Jean-Claude Trigeassou is Honorary Professor at Bordeaux University, France, and has been associated with the research activities of its IMS-LAPS lab since 2006. His main research interests include the modeling of fractional order systems, based on the infinite state approach.

Nezha Maamri is Associate Professor at Poitiers University, France. Her research activities concern the method of moments, robust control using integer order and fractional order controllers, plus the modeling, initialization and stability of fractional order systems.

作者簡介(中文翻譯)

讓-克勞德·特里基亞索（Jean-Claude Trigeassou）是法國波爾多大學的名譽教授，自2006年以來一直參與該校IMS-LAPS實驗室的研究活動。他的主要研究興趣包括基於無限狀態方法的分數階系統建模。

內扎·馬阿姆里（Nezha Maamri）是法國普瓦捷大學的副教授。她的研究活動涉及矩方法、使用整數階和分數階控制器的穩健控制，以及分數階系統的建模、初始化和穩定性。

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