KMS Of Academy of mathematics and systems sciences, CAS
| Distributed Optimization for Resource Allocation Problems Under Large Delays | |
Wang, Xue-Fang1; Hong, Yiguang2 ; Sun, Xi-Ming3,4; Liu, Kun-Zhi1
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| 2019-12-01 | |
| Source Publication | IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
 |
| ISSN | 0278-0046 |
| Volume | 66Issue:12Pages:9448-9457 |
| Abstract | 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. |
| Keyword | Distributed optimization large delays Lyapunov functionals resource allocation |
| DOI | 10.1109/TIE.2019.2891406 |
| Language | 英语 |
| Funding Project | National Natural Science Foundation of China[61890921] ; National Natural Science Foundation of China[61733018] ; China Scholarship Council |
| WOS Research Area | Automation & Control Systems ; Engineering ; Instruments & Instrumentation |
| WOS Subject | Automation & Control Systems ; Engineering, Electrical & Electronic ; Instruments & Instrumentation |
| WOS ID | WOS:000480309400033 |
| Publisher | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/35465 |
| Collection | 系统科学研究所 |
| Corresponding Author | Sun, Xi-Ming |
| Affiliation | 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 |
| 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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