Linear convergence of event‐triggered distributed optimization with metric subregularity condition
This paper designs a continuous‐time algorithm with event‐triggered communication (ETC) for solving a class of distributed convex optimization problems with a metric subregularity condition. First, we develop an event‐triggered continuous‐time optimization algorithm to overcome the bandwidth limitat...
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| Vydané v: | Asian journal of control Ročník 27; číslo 2; s. 750 - 764 |
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| Jazyk: | English |
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01.03.2025
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| ISSN: | 1561-8625, 1934-6093 |
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| Abstract | This paper designs a continuous‐time algorithm with event‐triggered communication (ETC) for solving a class of distributed convex optimization problems with a metric subregularity condition. First, we develop an event‐triggered continuous‐time optimization algorithm to overcome the bandwidth limitation of multi‐agent systems. Besides, with the aid of Lyapunov theory, we prove that the distributed event‐triggered algorithm converges to the optimum set with an exact linear convergence rate, without the strongly convex condition. Moreover, we provide the discrete version of the continuous‐time algorithm and show its exact linear convergence rate. Finally, we give a comparison example to validate the effectiveness of the designed algorithm in communication resource saving. |
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| AbstractList | This paper designs a continuous‐time algorithm with event‐triggered communication (ETC) for solving a class of distributed convex optimization problems with a metric subregularity condition. First, we develop an event‐triggered continuous‐time optimization algorithm to overcome the bandwidth limitation of multi‐agent systems. Besides, with the aid of Lyapunov theory, we prove that the distributed event‐triggered algorithm converges to the optimum set with an exact linear convergence rate, without the strongly convex condition. Moreover, we provide the discrete version of the continuous‐time algorithm and show its exact linear convergence rate. Finally, we give a comparison example to validate the effectiveness of the designed algorithm in communication resource saving. |
| Author | Yu, Xin Fan, Yuan Qiu, Jianbin Cheng, Songsong |
| Author_xml | – sequence: 1 givenname: Xin orcidid: 0000-0001-6070-3099 surname: Yu fullname: Yu, Xin organization: Anhui University – sequence: 2 givenname: Songsong orcidid: 0000-0001-5566-6836 surname: Cheng fullname: Cheng, Songsong organization: Anhui University – sequence: 3 givenname: Jianbin surname: Qiu fullname: Qiu, Jianbin organization: Harbin Institute of Technology – sequence: 4 givenname: Yuan orcidid: 0000-0001-6716-7129 surname: Fan fullname: Fan, Yuan email: yuanf@ahu.edu.cn organization: Anhui University |
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| Snippet | This paper designs a continuous‐time algorithm with event‐triggered communication (ETC) for solving a class of distributed convex optimization problems with a... |
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| SubjectTerms | Algorithms Convergence Convexity distributed optimization event‐triggered linear convergence metric subregularity Optimization primal‐dual |
| Title | Linear convergence of event‐triggered distributed optimization with metric subregularity condition |
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