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Distributed Optimization for Resource Allocation Problems Under Large Delays
Wang, Xue-Fang1; Hong, Yiguang2; Sun, Xi-Ming3,4; Liu, Kun-Zhi1
2019-12-01
Source PublicationIEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
ISSN0278-0046
Volume66Issue:12Pages:9448-9457
AbstractIn 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.
KeywordDistributed optimization large delays Lyapunov functionals resource allocation
DOI10.1109/TIE.2019.2891406
Language英语
Funding ProjectNational Natural Science Foundation of China[61890921] ; National Natural Science Foundation of China[61733018] ; China Scholarship Council
WOS Research AreaAutomation & Control Systems ; Engineering ; Instruments & Instrumentation
WOS SubjectAutomation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation
WOS IDWOS:000480309400033
PublisherIEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35465
Collection系统科学研究所
Corresponding AuthorSun, Xi-Ming
Affiliation1.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
Recommended Citation
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.
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