Fractional Calculus for Complex Systems
Chen, Yangquan
- 出版商: Springer
- 出版日期: 2024-04-14
- 售價: $10,350
- 貴賓價: 9.5 折 $9,833
- 語言: 英文
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 1493973762
- ISBN-13: 9781493973767
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相關分類:
微積分 Calculus
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相關主題
商品描述
This volume in the Encyclopedia of Complexity and Systems Science, Second Edition, offers a detailed account of fractional calculus tools, signatures of complex systems, hidden connections to fractional calculus, and applications and case studies involving fractional calculus in complex signal analysis and complex system modelling, analysis and control (MAD). The authors document both the foundational concepts of fractional calculus in complexity science as well as their applications to, and role in, the optimization of, complex engineered systems.
Fractional calculus is about differentiation and integration of non-integer orders. Convenience has driven the use of integer-order models and controllers for complex natural or man-made systems, but these traditional models and tools for the control of dynamic systems may result in suboptimum performance and even "anomalous" behavior. In contrast, a growing literature documents "more optimal" performance when fractional order calculus tools are applied. From an engineering point of view, new and beneficial uses of this versatile mathematical tool are both possible and important, and may become an enabler of new scientific discoveries.
Fractional calculus is about differentiation and integration of non-integer orders. Convenience has driven the use of integer-order models and controllers for complex natural or man-made systems, but these traditional models and tools for the control of dynamic systems may result in suboptimum performance and even "anomalous" behavior. In contrast, a growing literature documents "more optimal" performance when fractional order calculus tools are applied. From an engineering point of view, new and beneficial uses of this versatile mathematical tool are both possible and important, and may become an enabler of new scientific discoveries.
商品描述(中文翻譯)
這本《複雜性與系統科學百科全書第二版》中的一卷，提供了對分數微積分工具、複雜系統的特徵、與分數微積分的隱含關聯，以及在複雜信號分析和複雜系統建模、分析和控制（MAD）中應用分數微積分的案例研究的詳細介紹。作者們記錄了分數微積分在複雜性科學中的基礎概念以及它們在複雜工程系統的優化中的應用和作用。
分數微積分是關於非整數階微分和積分的。方便起見，對於複雜的自然或人造系統，使用整數階模型和控制器已成為常態，但這些傳統模型和工具對於動態系統的控制可能會導致次優的性能甚至出現“異常”行為。相反，越來越多的文獻記錄了當應用分數階微積分工具時，性能更優異的情況。從工程角度來看，這個多功能數學工具的新的和有益的應用既可能也很重要，並且可能成為新的科學發現的推動者。
作者簡介
YangQuan Chen received his B.S. in industrial automation from the University of Science and Technology of Beijing, China, in 1985, his M.S. in automatic control from the Beijing Institute of Technology, in 1989, and his Ph.D. degree in advanced control and instrumentation from the Nanyang Technological University, Singapore, in 1998. He was a member of the control systems/mechatronics faculty of ECE Dept. at Utah State University, Logan, and the Director of the Center for Self-Organizing and Intelligent Systems (CSOIS), before joining the University of California, Merced in Fall 2012. Prof. Chen's research interests include mechatronics, control systems, unmanned aircraft systems, cyber-physical systems, and applied fractional calculus.
作者簡介(中文翻譯)
楊泉陳於1985年在中國北京科技大學獲得工業自動化學士學位，於1989年在北京理工大學獲得自動控制碩士學位，並於1998年在新加坡南洋理工大學獲得先進控制和儀器學博士學位。在加入加州大學默塞德分校之前，他曾是猶他州立大學電機與電腦工程系控制系統/機電一體化教職成員，以及自組織和智能系統中心主任。陳教授的研究興趣包括機電一體化、控制系統、無人機系統、物聯網系統和應用分數微積分。
