Improved function projection method of complicated dynamic network

Abstract

The invention discloses an improved function projection method of a complicated dynamic network. establishing a four-dimensional segmented Lorenz-Stenflo chaotic system model with an known parameter, and analyzing characteristic of Liapunov exponent; constructing a response system through utilizing the Lorenz-Stenflo chaotic system as a driving system; designing a projection synchronization controller, and automatically adjusting a feedback coefficient according to error magnitude and state change; and designing an adaptive identification estimator and a parameter updating rule. The improved function projection method is based on fractional order system stability theory combined adaptive control; and a lag improvement projection synchronization method is generated so that the method can realize synchronization between the state of a response node and the state of the driving system at a previous certain time according to a preset desired-dimension function matrix.

Description

technical field [0001] The invention relates to a projection method, in particular to an improved function projection method of a complex dynamic network. Background technique [0002] Complex networks widely exist in various natural phenomena, and many practical problems can be abstracted into complex network models for research. Nowadays, the research and attention of control theory and other related disciplines are more and more focused on how to control and utilize the network. For example, the global integrated transportation network, telecommunication network, biological network and so on. These networks are collectively referred to as complex networks, and we rely on various complex networks to communicate, live, learn and communicate. The rapid development of information technology has promoted the rapid development of systems engineering and complexity theory. Complex network technology is one of them. It has a powerful ability to study the role, relationship and ...

AI Technical Summary

Problems solved by technology

[0012] 2. Research status of complex dynamic network synchronization

[0022] In summary, although there have been some research results on the synchronization and control of fractional-order chaotic systems, the stability theory of fractional-order differential systems is far less mature than that of integer-order systems, and the complexity of complex network structures and Due to factors such as the diversity of node behaviors, there are still few research results on the synchronization and control of fractional complex networks.

At present, the research on the projection synchronization of fractional order improved functions does not consider the problem with unknown parameters

In the actual system, there is always a certain degree of uncertainty in the parameters, and the system is inevitably affected. Unknown parameters will cause a great impact on the dynamic behavior of the system.