政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/151519

政大機構典藏-National Chengchi University Institutional Repository(NCCUR):Item 140.119/151519

English | 正體中文 | 简体中文 | Post-Print筆數 : 27 | 全文筆數/總筆數 : 111315/142224 (78%)
造訪人次 : 48369566 線上人數 : 894

RC Version 6.0 © Powered By DSPACE, MIT. Enhanced by NTU Library IR team.

搜尋範圍

查詢小技巧：

您可在西文檢索詞彙前後加上"雙引號"，以獲取較精準的檢索結果

若欲以作者姓名搜尋，建議至進階搜尋限定作者欄位，可獲得較完整資料

進階搜尋

主頁 ‧ 登入 ‧ 上傳 ‧ 說明 ‧ 關於政大典藏 ‧ 管理

到手機版

政大機構典藏 > 理學院 > 應用數學系 > 學位論文 > Item 140.119/151519

請使用永久網址來引用或連結此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/151519

題名:	線性耦合系統之解的有界性 Boundedness of solutions of coupled systems with linear couplings
作者:	曾俊霖 TSENG, CHUN-LIN
貢獻者:	曾睿彬 Tseng, Jui-Pin 曾俊霖 TSENG, CHUN-LIN
關鍵詞:	被動系統半被動系統耦合系統有界性 passive system semi-passive system coupled system boundedness
日期:	2024
上傳時間:	2024-06-03 11:48:19 (UTC+8)
摘要:	在這篇論文中，我們利用與被動系統和半被動系統相關的理論來討論在線性耦合下耦合系統解的有界性。我們通過稍微放寬([6])中提出之semi-passivity定義的條件來修改其定義，然後建立相應的有界性理論。最後，利用本論文介紹的有界性理論，我們推導出了Lorenz系統、Chen系統、Lü系統、Stuart-Landau系統和線性mass-spring-damper系統解的有界性標準。 In this thesis, we discuss the boundedness of solutions for coupled systems under linear coupling by utilizing theories related to passive and semi-passive systems. We modify the definition of semi-passivity proposed in ([6]) by slightly relaxing its conditions and then establish the corresponding boundedness theory. Finally, with the boundedness theories introduced in this thesis, we derive the criteria of boundedness of solutions for Lorenz system, Chen system, Lü system, Stuart-Landau system, and linear mass-spring-damper system.
參考文獻:	[1]A. Y. Pogromsky, Passivity based design of synchronizing systems, International Journal of Bifurcation and Chaos, 8 (1998), pp. 295-319. [2]A. Pogromsky, T. Glad and H. Nijmeijer, On diffusion driven oscillations in coupled dynamical systems, International Journal of Bifurcation and Chaos, 9 (1999), pp. 629-644. [3]A. Pogromsky and H. Nijmeijer, Cooperative oscillatory behavior of mutually coupled dynamical systems, IEEE Trans. Circuits Syst. I, 48 (2001), pp. 152-162. [4]A. Pogromsky, G. Santoboni and H. Nijmeijer, Partial synchronization: from symmetry towards stability, Physica D, 172 (2002), pp. 65-87. [5]E. Steur and H. Nijmeijer, Synchronization in networks of diffusively time-delay coupled (semi-)passive systems, IEEE Trans. Circuits Syst. I, 58 (2011), pp. 1358-1371. [6]Chih-Lun Chao, Semi-passivity and Synchronization in Linearly Coupled Systems, National Chiao Tung University, (2017), pp. 1-77. [7]E. Steur, I. Tyukin and H. Nijmeijer, Semi-passivity and synchronization of diffusively coupled neuronal oscillators, Physica D, 238 (2009), pp. 2119-2128. [8]Anes Lazri, Mohamed Maghenem, Elena Panteley and Antonio Loria, Global Uniform Ultimate Boundedness of Semi-Passive Systems Interconnected over Directed Graphs. 2023. hal-04298172. [9]I.G. Polushin, D.J. Hill, A.L. Fradkov, Strict quasipassivity and ultimate boundedness for nonlinear control systems, in: Proceedings of the Fourth IFAC Symposium on Nonlinear Control Systems, NOLCOS’98, Enshede, The Netherlands, 1998. [10]Xiwei Liu, Tianping Chen, Boundedness and synchronization of y-coupled Lorenz systems with or without controllers, Physica D 237 (2008), pp. 630–639. [11]Wen-Xin Qin , Guanrong Chen, On the boundedness of solutions of the Chen system, J. Math. Anal. Appl. 329 (2007) 445–451. [12]Chunlai Mu , Fuchen Zhang , Yonglu Shu and Shouming Zhou, On the boundedness of solutions to the Lorenz-like family of chaotic systems, Nonlinear Dyn (2012) 67:987–996. [13]Fuchen Zhang , Xiaofeng Liao and Guangyun Zhang, On the global boundedness of the Lü system, Applied Mathematics and Computation 284 (2016) 332–339.
描述:	碩士國立政治大學應用數學系 109751011
資料來源:	http://thesis.lib.nccu.edu.tw/record/#G0109751011
資料類型:	thesis
顯示於類別:	[應用數學系] 學位論文

文件中的檔案:

檔案	描述	大小	格式	瀏覽次數
101101.pdf		3411Kb	Adobe PDF	0	檢視/開啟

在政大典藏中所有的資料項目都受到原著作權保護.

社群 sharing

著作權政策宣告 Copyright Announcement

1.本網站之數位內容為國立政治大學所收錄之機構典藏，無償提供學術研究與公眾教育等公益性使用，惟仍請適度，合理使用本網站之內容，以尊重著作權人之權益。商業上之利用，則請先取得著作權人之授權。
The digital content of this website is part of National Chengchi University Institutional Repository. It provides free access to academic research and public education for non-commercial use. Please utilize it in a proper and reasonable manner and respect the rights of copyright owners. For commercial use, please obtain authorization from the copyright owner in advance.

2.本網站之製作，已盡力防止侵害著作權人之權益，如仍發現本網站之數位內容有侵害著作權人權益情事者，請權利人通知本網站維護人員(nccur@nccu.edu.tw)，維護人員將立即採取移除該數位著作等補救措施。
NCCU Institutional Repository is made to protect the interests of copyright owners. If you believe that any material on the website infringes copyright, please contact our staff(nccur@nccu.edu.tw). We will remove the work from the repository and investigate your claim.

DSpace Software Copyright © 2002-2004 MIT & Hewlett-Packard / Enhanced by NTU Library IR team Copyright © - 回饋