Exponential Synchronization of Markovian Jump Complex Dynamical Networks with Uncertain Transition Rates and Mode-Dependent Coupling Delay

2020 ◽  
Vol 39 (8) ◽  
pp. 3875-3906
Author(s):  
Nasim Akbari ◽  
Ali Sadr ◽  
Ali Kazemy
Keyword(s):  
Exponential Synchronization ◽  
Complex Dynamical Networks ◽  
Transition Rates ◽  
Markovian Jump ◽  
Dynamical Networks ◽  
Coupling Delay

Exponential synchronization of a Markovian jump complex dynamic network with piecewise-constant transition rates and distributed delay

2018 ◽  
Vol 41 (9) ◽  
pp. 2535-2544 ◽  
Author(s):  
Nasim Akbari ◽  
Ali Sadr ◽  
Ali Kazemy
Keyword(s):  
Time Delay ◽  
Sufficient Conditions ◽  
Distributed Delay ◽  
Dynamic Network ◽  
Exponential Synchronization ◽  
Linear Matrix ◽  
Transition Rates ◽  
Markovian Jump ◽  
Piecewise Constant ◽  
Time Varying Delay

The exponential synchronization of a Markovian jump complex dynamical network with piecewise-constant transition rates is investigated. Two distinct types of time-varying delay are considered for the system; one is distributed time-delay for each node, the other is discrete coupling time-delay. Based on an augmented Lyapunov–Krasovskii functional, some sufficient conditions are derived and expressed in the form of linear matrix inequalities, which are formulated in such a manner as to determine the controller gain matrices. Finally, an example is given to illustrate the effectiveness and validity of the proposed method.

Sign in / Sign up

Export Citation Format

Share Document