Leader-follower consensus of uncertain variable-order fractional multi-agent systems

• Tipo: Artigo em Revista Científica Internacional
• Data: 2023

Autores

Chen, LP (Autor) Outra; Li, XM (Autor) Outra; António Mendes Lopes (Autor) FEUP; Chu, ZB (Autor) Outra; Chen, YQ (Autor) Outra

Revista

Título: Nonlinear Dynamics

Vol. 111

ISSN: 0924-090X

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 1 Citação

Scopus - 2 Citações

Outras Informações

ID Authenticus: P-00Y-D0M

DOI: 10.1007/s11071-023-08494-8

Abstract (EN): The leader-follower consensus of a class of variable-order fractional (VOF) uncertain linear multi-agent systems is studied in this paper. Firstly, a new general lemma is proposed to find Lyapunov candidate functions for the stability of VOF systems. Secondly, according to the proposed lemma and the stability theorem of VOF systems, and by using the singular value decomposition of matrices and some related lemmas, a sufficient condition to obtain leader-follower consensus of uncertain VOF linear systems is given in the form of a linear matrix inequality. The proposed control protocol is dependent on the order of the VOF multi-agent system and is applicable to fixed-order and nonlinear VOF multi-agent systems. Finally, the feasibility and effectiveness of the approach are verified by using some numerical simulations.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 14