Extended dissipative synchronization for discrete complex dynamical networks with random successive coupling delays through PID control

This work investigates the synchronization problem for a kind of discrete complex dynamical networks (CDNs) including nonlinearities, exogenous disturbance, and successive time‐varying random coupling delays. Also, the stochastic variable obeying Bernoulli distribution is exploited to describe the r...

Full description

Saved in:
Bibliographic Details
Published in:International journal of robust and nonlinear control 2024-03, Vol.34 (5), p.3616-3630
Main Authors: Pallavi, S., Sakthivel, N.
Format: Article
Language:English
Subjects:
complex dynamical networks (CDNs)
Coupling
Dissipation
extended dissipativity
Linear matrix inequalities
Mathematical analysis
PID control
Proportional integral derivative
Randomness
successive time‐varying delays
Synchronism
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This work investigates the synchronization problem for a kind of discrete complex dynamical networks (CDNs) including nonlinearities, exogenous disturbance, and successive time‐varying random coupling delays. Also, the stochastic variable obeying Bernoulli distribution is exploited to describe the randomness of the coupling delays. The main target of this work is to devise a novel PID controller ensuring that the proposed network is asymptotically synchronized in mean‐square and also meets a specified extended dissipative performance. With the aid of Kronecker product properties, Lyapunov stability theory and free weighting matrix technique, less conservative sufficient criteria is obtained in the form of Linear matrix inequalities (LMIs) to affirm the synchronization of the considered network. At last, the efficacy and potency of the designed control protocol are verified through two examples including the Chen system.
ISSN:1049-8923
1099-1239
DOI:10.1002/rnc.7154