In:
International Journal of Adaptive Control and Signal Processing, Wiley, Vol. 34, No. 10 ( 2020-10), p. 1359-1382
Abstract:
In this article, the global fixed‐time synchronization issue is considered for semi‐Markovian switching discontinuous complex‐valued dynamical networks (CVDNs) with hybrid couplings and time‐varying delays, in which CVDNs are not divided into two real value systems, contrary to existing literature. First, a new fixed‐time convergence principle for complex‐valued nonlinear system with semi‐Markovian switching is developed. Second, to realize the fixed‐time synchronization, the state feedback controller with integral term and adaptive controller are designed, respectively. Under the complex‐valued differential inclusions framework, by utilizing Lyapunov‐Krasovskii functional method and inequality analysis technique, the global fixed‐time synchronization conditions are addressed in terms of linear matrix inequalities. Finally, two numerical simulations are given to illustrate the validity of the presented theoretical results.
Type of Medium:
Online Resource
ISSN:
0890-6327
,
1099-1115
Language:
English
Publisher:
Wiley
Publication Date:
2020
detail.hit.zdb_id:
58715-1
detail.hit.zdb_id:
2000340-7
