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- Title
Finite‐time convergent distributed consensus optimisation over networks.
- Authors
Song, Yanfei; Chen, Weisheng
- Abstract
In this study, a finite‐time convergent distributed continuous‐time algorithm is proposed to solve a network optimisation problem where the global cost function is the sum of strictly convex local cost functions under an undirected network with fixed topologies. The algorithm is inspired by finite‐time consensus protocols and continuous‐time zero‐gradient‐sum algorithms. Instead of the exponential convergence in existing works, the finite‐time convergence is guaranteed based on the Lyapunov method. A numerical simulation example is provided to illustrate the effectiveness of the developed algorithm.
- Publication
IET Control Theory & Applications (Wiley-Blackwell), 2016, Vol 10, Issue 11, p1314
- ISSN
1751-8644
- Publication type
Article
- DOI
10.1049/iet-cta.2015.1051