Distributed solving Sylvester equations with fractional order dynamics
Songsong Cheng1
Shu Liang2
Yuan Fan1
1.Key Laboratory of Intelligent Computing and Signal Processing of Ministry of Education,School of Electrical Engineering and Automation,Anhui University,Hefei 230601,Anhui,China2.Key Laboratory of Knowledge Automation for Industrial Processes of Ministry of Education,School of Automation and Electrical Engineering,University of Science and Technology Beijing,Beijing 100083,China
摘要：This paper addresses distributed computation Sylvester equations of the form AX + XB =C with fractional order dynam-ics.By partitioning parameter matrices A,B and C,we transfer the problem of distributed solving Sylvester equations as two distributed optimization models and design two fractional order continuous-time algorithms,which have more design freedom and have potential to obtain better convergence performance than that of the existing first order algorithms.Then,rewriting distributed algorithms as corresponding frequency distributed models,we design Lyapunov functions and prove that the proposed algorithms asymptotically converge to an exact or least squares solution.Finally,we validate the effective-ness of the proposed algorithms by providing a numerical example.
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论文发表日期：2021-05-05
在线出版日期：2025-08-15（本平台首次上网日期，不代表文献的发表时间）
页数：11( 249-259 )
英文信息