Impulsive synchronization of time-scales complex networks with time-varying topology

2020 ◽  
Vol 80 ◽  
pp. 104981
Author(s):  
Yong Pei ◽  
Martin Bohner ◽  
Dechang Pi
Keyword(s):  
Complex Networks ◽  
Time Scales ◽  
Time Varying ◽  
Impulsive Synchronization

scholarly journals Pinning control of complex networks with time-varying inner and outer coupling

2021 ◽  
Vol 18 (4) ◽  
pp. 3435-3447
Author(s):  
Hai Lin ◽  
◽  
Jingcheng Wang ◽  
◽  
Keyword(s):  
Complex Networks ◽  
Pinning Control ◽  
Time Varying

scholarly journals Controllability and observability of linear impulsive adjoint dynamic system on time scale

2020 ◽  
Vol 51 (3) ◽  
pp. 201-217
Author(s):  
Nusrat Yasmin ◽  
Safia Mirza ◽  
Awais Younus ◽  
Asif Mansoor
Keyword(s):  
Dynamic System ◽  
Time Scales ◽  
Time Scale ◽  
Continuous Case ◽  
Time Varying ◽  
Controllability And Observability

This paper deals with the controllability, observability of the solution of time-varying system on time scales. We obtain new results about controllability and observability and generalize to a time scale some known properties about stability from the continuous case.

scholarly journals Exponential Stability of Periodic Solution to Wilson-Cowan Networks with Time-Varying Delays on Time Scales

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Jinxiang Cai ◽  
Zhenkun Huang ◽  
Honghua Bin
Keyword(s):  
Periodic Solution ◽  
Stability Analysis ◽  
Exponential Stability ◽  
Time Scales ◽  
Continuous Time ◽  
Lyapunov Functional ◽  
Contraction Mapping ◽  
Sufficient Conditions ◽  
Contraction Mapping Principle ◽  
Time Varying

We present stability analysis of delayed Wilson-Cowan networks on time scales. By applying the theory of calculus on time scales, the contraction mapping principle, and Lyapunov functional, new sufficient conditions are obtained to ensure the existence and exponential stability of periodic solution to the considered system. The obtained results are general and can be applied to discrete-time or continuous-time Wilson-Cowan networks.

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