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Distributed Optimization for Resource Allocation Problems Under Large Delays

文献类型：期刊论文

作者Wang, Xue-Fang1; Hong, Yiguang2; Sun, Xi-Ming3,4; Liu, Kun-Zhi1
刊名IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
出版日期2019-12-01
卷号66期号:12页码:9448-9457
关键词Distributed optimization large delays Lyapunov functionals resource allocation
ISSN号0278-0046
DOI10.1109/TIE.2019.2891406
英文摘要In this paper, a distributed resource allocation problem is investigated based on a continuous-time algorithm in the presence of time-varying communication delays. The considered delays are allowed to take both "large" and "small" delay values in an alternating manner. The "small" delays refer to a class of delays that guarantee the exponential convergence to the optimal solution; otherwise, they are called "large" delays. The existence of "large" delays may affect the behavior of the optimal allocation solution, and the existing algorithms with delays may not be applicable to this kind of "large" delays. To address "large" delay cases, a switched algorithm is first proposed based on switching techniques, and then, such an algorithm is modeled as switched delay systems. Second, by adopting the Lyapunov functional theory, the upper bound of delays is first derived to guarantee the exponential convergence to the optimal solution under "small" delays, and then, a delay-dependent sufficient condition is obtained to ensure exponential convergence of the proposed algorithm based on some restrictions on "large" delays. Finally, we adopt an IEEE 118-bus practical example to show the effectiveness of the proposed algorithm.
资助项目National Natural Science Foundation of China[61890921] ; National Natural Science Foundation of China[61733018] ; China Scholarship Council
WOS研究方向Automation & Control Systems ; Engineering ; Instruments & Instrumentation
语种英语
WOS记录号WOS:000480309400033
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/35464]  
专题系统科学研究所
通讯作者Sun, Xi-Ming
作者单位1.Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Syst & Control, Beijing 100190, Peoples R China
3.Dalian Univ Technol, Minist Educ, Key Lab Ocean Energy Utilizat & Energy Conservat, Dalian 116024, Peoples R China
4.Dalian Univ Technol, Sch Control Sci & Engn, Dalian 116024, Peoples R China
推荐引用方式
GB/T 7714		 Wang, Xue-Fang,Hong, Yiguang,Sun, Xi-Ming,et al. Distributed Optimization for Resource Allocation Problems Under Large Delays[J]. IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS,2019,66(12):9448-9457.
APA Wang, Xue-Fang,Hong, Yiguang,Sun, Xi-Ming,&Liu, Kun-Zhi.(2019).Distributed Optimization for Resource Allocation Problems Under Large Delays.IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS,66(12),9448-9457.
MLA Wang, Xue-Fang,et al."Distributed Optimization for Resource Allocation Problems Under Large Delays".IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS 66.12(2019):9448-9457.

入库方式： OAI收割

来源：数学与系统科学研究院

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