Synchronization problem on networking and synthesis based on algebraic graph theory

Richa Agarwal1and Shivam Agarwal2*

doi:10.26637/MJM0S01/10

Synchronization problem on networking and synthesis based on algebraic graph theory

Authors :

Richa Agarwal¹and Shivam Agarwal^2*

Author Address :

¹Applied Science, Mathematics Department, KIET Institute of Engineering, Ghaziabad, India.
²IIT Kharagpur, India.

*Corresponding author.

Abstract :

This paper is concerned with the adaptive pinning synchronization problem of stochastic complex dynamical networks (CDNs). Based on algebraic graph theory and Lyapunov theory, pinning controller design conditions are derived, and the rigorous convergence analysis of synchronization errors in the probability sense is also reflected. This paper describes uses of graph theory to `some of the problems of network synthesis and analysis, beginning with the ancient period of network theory. The initial portion is devoted to the analytic results related to the topological analysis of linear, submissive, and converter less arrangements. Then it goes over to handout dealing with moderation of these methods to group with correlative services and animated components.

Keywords :

Graph theory, Lyapunov theory and Pinning controller design.

DOI :

10.26637/MJM0S01/10

Article Info :

Received : December 24, 2017; Accepted : January 21, 2018.