Zhengping Fan

Chaos quasisynchronization induced by impulses with parameter mismatches

This paper studies the effect of parameter mismatch on the impulsive synchronization of a class of coupled chaotic systems. A new definition for global quasisynchronization is introduced and used to analyze the synchronous behavior of coupled chaotic systems in the presence of parameter mismatch. Using the linear decomposition and comparison-system methods, a global synchronization error bound together with a sufficient condition is derived. Numerical simulations on the chaotic Chuas circuit are presented to verify the theoretical results.

Singularity-conquering ZG controllers of z2g1 type for tracking control of the IPC system

With wider investigations and applications of autonomous robotics and intelligent vehicles, the inverted pendulum on a cart (IPC) system has become more attractive for numerous researchers due to its concise and representative structure. In this article, the tracking-control problem of the IPC system is considered and investigated. Based on Zhang dynamics (ZD) and gradient dynamics (GD), a novel kind of ZG controllers are developed and investigated for achieving the tracking-control purpose, which contains controllers of z2g0 and z2g1 types according to the number of times of using the ZD and GD methods. Besides, theoretical analyses are presented to guarantee the global and exponential convergence performance of both z2g0 and z2g1 controllers. Computer simulations are further performed to substantiate the feasibility and effectiveness of ZG controllers. More importantly, comparative simulation results demonstrate that controllers of z2g1 type can conquer the singularity problem (i.e. the division-by-zero problem).

Pinning control of scale-free complex networks

The pinning control strategy, including specifically pinning scheme and randomly pinning scheme, is used to stabilize scale-free networks in this paper. A scale-free dynamical network model is first introduced and then, based on this model, a stability condition is derived in terms of a linear matrix inequality. Finally, a numerical simulation example is provided to verify the theoretical results.

On pinning control of scale-free networks

A non-uniform pinning control strategy is suggested for stabilizing large-scale complex networks with scale-free property. A scale-free dynamical network model is first introduced. Then, based on this model, the pinning strategy for controlling scale-free complex networks is derived analytically. Finally, a numerical simulation example is provided to show that the control method is effective.

Differentiating complex network models: An engineering perspective

Network models that can capture the underlying networks topologies and functionalities are crucial for the development of complex network algorithms and protocols. In the engineering community, the performances of network algorithms and protocols are usually evaluated by running them on a network model. In most if not all reported work, the criteria used to determine such a network model rely on how close it matches the network data in terms of some basic topological characteristics. However, the intrinsic relations between a network topology and its functionalities are still unclear. A question arises naturally: For a network model which can reproduce some topological characteristics of the underlying network, is it reasonable and valid to use this model to be a test-bed for evaluating the networks performances? To answer this question, we take a close look at several typical complex network models of the AS-level Internet as examples of study. We find that although a model can represent the Internet in terms of topological metrics, it cannot be used to evaluate the Internet performances. Our findings reveal that the approaches using topological metrics to discriminate network models, which have been widely used in the engineering community, may lead to confusing or even incorrect conclusions.