Predictive-based control of complex dynamic networks

This paper addresses the problem of designing a robust controller for a class of complex dynamical networks (CDNs). This class of CDNs is characterized by a scale-free typical structure with Rossler and Lorenz-type nodes. Direct control of every node in a CDN with a large number of nodes might be unnecessary. Based on the concept of pinning control of continuous-time chaotic systems and the matrix measure theory, some simple stability criteria are derived to guarantee the asymptotic stability of the system states such that all the system states of the closed-loop system converge towards the desired unstable equilibrium points. Consequently, the proposed controller developed here for scale-free networks can be employed to handle a broader class of CDNs with different types of nodes. Numerical simulations are provided to show the effectiveness of the proposed control method.

Automated summary

This paper addresses the issue of designing a robust controller for a complex dynamical network (CDN) characterized by a scale-free structure. By applying pinning control and matrix measure theory, simple stability criteria are derived to ensure the asymptotic stability of the system states, leading to convergence towards desired unstable equilibriums. The proposed controller can be applied to handle a broader class of CDNs with different types of nodes. Numerical simulations validate the effectiveness of the proposed control method.