Distributed solving Sylvester equations with fractional order dynamics

• 作者: Songsong Cheng Shu Liang Yuan Fan
• 来源期刊: 控制理论与技术（英文版）
• 年，卷（期）: 2021,（2）
• 所属期刊栏目: RESEARCH ARTICLES
• 页码范围: 249-259
• 页数: 11页
• 语种: 英文

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.