Adaptive Synchronization in Complex Network with Different Order Node Dynamics

Abstract

This paper investigates the adaptive cluster synchronization in the complex networks with different orders. By means of Lyapunov stability theory and the adaptive control technique, a novel adaptive synchronization controller is developed. To demonstrate the validity of the proposed method, the examples for the synchronization of systems with the chaotic and hyperchaotic node dynamics are presented. Model DescriptionConsider a dynamical network with community of coupled chaotic oscillators; also the local dynamics can be Hindawi Publishing Corporation

Adaptation Algorithm of Geometric Graphs for Robot Motion Planning in Dynamic Environments

“…In this paper, we propose an algorithm for geometric graphs that can adapt to a changeable configuration space topology. We contrived this algorithm via inspiration from recent investigations, such as multiagent systems [18][19][20], consensus control [21][22][23][24], and distributed computing [25][26][27]. In the proposed adaptation algorithm, each node moves in a free configuration space independently, similar to the intelligent agent of multiagent systems, by detecting the deformation of the configuration space; then, the graph updates its topology with respect to the changed node information.…”