dc.creator | Gallegos, Javier A. | |
dc.creator | Aguila Camacho, Norelys | |
dc.creator | Duarte Mermoud, Manuel | |
dc.date.accessioned | 2020-05-11T21:49:09Z | |
dc.date.available | 2020-05-11T21:49:09Z | |
dc.date.created | 2020-05-11T21:49:09Z | |
dc.date.issued | 2020 | |
dc.identifier | Commun Nonlinear Sci Numer Simulat 83 (2020) 105089 | |
dc.identifier | 10.1016/j.cnsns.2019.105089 | |
dc.identifier | https://repositorio.uchile.cl/handle/2250/174654 | |
dc.description.abstract | In this paper, a general method to establish the asymptotic behaviour of solutions to multi-order multiple time-varying delays nonlinear systems is proposed. The method, relying on vector Lyapunov-like functions and on comparison arguments, reduces the asymptotic stability problem to verify a Hurwitz property on a suitable matrix. Many results in integer order systems can be easily generalized to multi-order systems since the obtained conditions are order-independent. The latter fact is exploited to obtain robust results when the derivation order is uncertain. To establish the method, robust multi-order multiple time-varying delays linear positive systems are studied generalizing previous results existing in the literature. Two illustrative examples are presented, the main one providing conditions for asymptotic stability of a multi-agent multi-order system with time-varying delay | |
dc.language | en | |
dc.publisher | Elsevier | |
dc.rights | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | |
dc.source | Communications in Nonlinear Science and Numerical Simulation | |
dc.subject | Stability | |
dc.subject | Delays | |
dc.subject | Multi-order fractional systems | |
dc.subject | Multi-agent systems | |
dc.title | Vector Lyapunov-like functions for multi-order fractional systems with multiple time-varying delays | |
dc.type | Artículo de revista | |