RO..ssler混沌系统的追踪控制与同步

对Rssler混沌系统进行控制,使之追踪任意参考信号,讨论了该控制系统的自同步以及与Lorenz混沌系统的异结构混沌同步问题,并利用Lyapunov方法证明了该控制系统指数收敛到参考信号.数值仿真进一步表明该方法的有效性 关键词： Rssler混沌系统 Lorenz混沌系统 追踪控制 同步     

周期映射单调性的新证法

研究方程d2x dr2 g(x)=o周期解的周期映射,给出了当g(x)为二次多项式时其周期单调的新证法．     

周期映射单调性的新证法

研究方程d2xdt2 + g(x)= 0 周期解的周期映射,给出了当g(x)为二次多项式时其周期单调的新证法.     

Adaptive Consensus Problem of Leader-Follower Multi-Agent System

We consider the adaptive consensus problem for leader-follower multi-agent systems with time delay coupling. Under the condition that the interconnection graph of the agents is directed and balanced, a neighbor-based consensus protocol with adaptive feedback gain is proposed for the follower agents to track the leader. The stability is performed based on the Lyapunov stability theorem. Some simulation examples are provided to show the efficiency of the control scheme.     

一类统一混沌系统的追踪控制与同步

对一类统一混沌系统进行控制，设计出一种含参控制器，使受控系统追踪任意给定的一维参考信号和三维参考信号，利用Lyapunov方法证明在此控制器作用下该系统按指数速率收敛到参考信号。同时研究了此受控统一混沌系统的自同步及异结构同步问题。利用Chen′s混沌系统进行数值仿真，其结果说明了此控制器设计方法的有效性。     

New results for exponential synchronization of linearly coupled ordinary differential systems

This paper investigates the exponential synchronization of linearly coupled ordinary differential systems. The intrinsic nonlinear dynamics may not satisfy the QUAD condition or weak-QUAD condition. First, it gives a new method to analyze the exponential synchronization of the systems. Second, two theorems and their corollaries are proposed for the local or global exponential synchronization of the coupled systems. Finally, an application to the linearly coupled Hopfield neural networks and several simulations are provided for verifying the effectiveness of the theoretical results.     

Tracking Consensus for Second-Order Multi-Agent Systems with Nonlinear Dynamics in Noisy Environments

This paper investigates the leader-following tracking consensus problem for second-order multi-agent systems with time delays and nonlinear dynamics in noisy environments on the conditions of fixed and switching directed topologies. Based on a novel velocity decomposition technique and stochastic analysis, a measurement-based distributed tracking control protocol is proposed, under which all agents can track the leader in mean square. Simulation results are also given to illustrate the effectiveness of the proposed protocol.     

Cluster consensus of second-order multi-agent systems via pinning control

This paper investigates the cluster consensus problem for second-order multi-agent systems by applying the pinning control method to a small collection of the agents.Consensus is attained independently for different agent clusters according to the community structure generated by the group partition of the underlying graph and sufficient conditions for both cluster and general consensus are obtained by using results from algebraic graph theory and the LaSalle Invariance Principle.Finally,some simple simulations are presented to illustrate the technique.     

统一混沌系统的投影同步与控制

对单向耦合的统一混沌系统间的投影同步进行了研究与控制-分析了投影同步现象的产生机 理，给出一方案对投影同步的特征量进行控制-该方案所需控制代价较小, 为设计适当的混 沌信号源提供了一种理论依据，在利用混沌电路系统进行保密通信方面有着一定的应用前景 -仿真实例表明理论分析的正确性和实际控制方案的有效性- 关键词： 统一混沌系统 投影同步 混沌控制 单向耦合