基于终端滑模控制的扰动复杂网络的有限时间同步

本文研究了扰动的复杂网络的有限时间同步问题. 利用终端滑模控制的方法, 设计了能保证网络同步的滑模面和控制器, 得到了两个不同的复杂网络之间达到有限时间同步的充分条件. 这些理论结果推广了复杂网络同步的一些已有结论.     

基于终端滑模控制的扰动复杂网络的有限时间同步（英文）

本文研究了扰动的复杂网络的有限时间同步问题.利用终端滑模控制的方法,设计了能保证网络同步的滑模面和控制器,得到了两个不同的复杂网络之间达到有限时间同步的充分条件.这些理论结果推广了复杂网络同步的一些已有结论.     

具有多重权值的时滞复杂网络固定时间同步问题研究

文章研究了基于非周期间歇性控制的具有多重权值和耦合时滞的复杂网络固定时间同步问题.通过构建具有多重权值的复杂网络模型,并基于固定时间稳定性引理和矩阵理论,给出了实现复杂网络固定时间同步的充分条件.此外,文章设计了固定时间非周期切换控制器,获得了实现复杂网络同步的时间上界的估计值.结论证明了实现网络同步的时间与网络的初始状态无关,最后数值模拟说明了理论结果的正确性和有效性.     

信用支付下基于收益共享契约的网购供应链协调策略研究

信用支付在网购交易中成为了日益重要的支付方式,考虑网络零售商能否在规定的免息期内支付货款两种情形,针对实际延迟支付时间影响网络零售商订货量问题,建立当网络零售商面临不确定的市场需求时的网购供应链决策模型,运用逆向归纳法分析供应商、网络零售商对相关参数的决策并设计收益共享契约实现网购供应链的协调。结果表明:网络零售商的订购量不会随着网络零售商实际支付时间的无限延长而持续增加,只有在供应商规定的免息期内,信用支付策略才会对订购量具有激励作用;两种情形下只要收益共享系数满足一定条件都能够实现网购供应链的协调。最后利用数值算例对上述结论进行了验证。     

多层二分耦合网络的同步性研究

多层复杂网络的同步能力分析是目前网络科学研究的热点.首先根据主稳定方程(MSF)给出多层二分耦合网络的超拉普拉斯矩阵,并得到反映其同步能力的重要指标.其次分析了二分耦合网络在同步域有界和无界的两种情况下层数、二分耦合网络节点数、层间耦合强度和层内耦合强度对同步能力的影响.最后通过数值模拟和理论实践提出控制层数、二分耦合网络节点数、层间耦合强度和层内耦合强度等参数的策略,来实现优化多层二分耦合网络的同步能力,为工程技术人员在实际应用中优化其同步能力提供有效的方案.     

基于自适应模糊控制方法的四翼混沌系统有限时间同步

研究了一类带有未知外部摄动的四翼混沌主从系统的有限时间同步控制问题.首先,基于自适应模糊控制方法,对四翼混沌系统的不确定项进行了处理.其次,基于Lyapunov有限时间稳定性准则,设计了一种有限时间同步控制器,使得主系统与从系统能在有限时间内实现状态同步.最后,通过数值仿真,检验了该方法的有效性和鲁棒性.     

不确定分数阶Qi系统有限时间同步控制

基于有限时间同步理论研究分数阶不确定Qi系统的有限时间同步,能够使系统误差有限时间收敛到原点.获得驱动响应系统有限时间同步充分条件,研究表明:一定条件下,分数阶不确定Qi系统的主从系统是有限时间同步的.     

层间单向耦合星形圆环状网络的同步能力

多层复杂网络同步是网络科学研究的一个前沿方向,目前对多层复杂网络同步性的研究大多集中在无向多层复杂网络上,而更加贴近于实际的多层有向网络研究很少.首先根据主稳定方程(MSF)严格计算出M层层间单向耦合星形圆环状网络的超拉普拉斯矩阵的特征值谱,并得到反映M层层间单向耦合星形圆环状网络同步能力的重要指标,其次讨论了M层层间单向耦合星形圆环状网络在同步域为有界和无界的两种情况下同步能力与层数、节点数、层间耦合强度和层内耦合强度及中心节点耦合强度之间的关系.最后通过数值模拟给出了层间单向耦合星形圆环状网络同步能力的仿真图像,验证了理论结果的有效性.     

不确定非自治混沌陀螺仪在非线性输入下的有限时间稳定性

陀螺仪是一个非常有趣,又是永恒的非线性非自治动力系统课题,它可以显示出非常复杂的动力学行为,如混沌现象.在一个给定的有限时间内,研究非线性非自治陀螺仪鲁棒稳定性问题.假设陀螺仪系统受到模型不确定的外部扰动而摄动,系统参数并不知道,同时考虑了非线性输入的影响.为未知参数提出了适当的自适应律.以自适应律和有限时间控制理论为基础,提出非连续有限时间控制理论,来研究系统的有限时间稳定性.解析证明了闭循环系统的有限时间稳定性及其收敛性.若干数值仿真结果表明,该文的有限时间控制法是有效的,同时验证了该文的理论结果.     

时滞离散网络模型的动力学分析与同步

复杂网络广泛存在于日常生活,首先,给出几类标准的网络模型;然后,利用稳定性控制方法设计并实现了具有时滞与非时滞耦合的复杂网络模型快速控制;最后,通过构造优化Lyapunov函数,讨论其模型的射影同步问题,得到了系统全局稳定的条件和有效的控制器,以实例数值验证其方法的可行性。     

Finite-time structure identification and synchronization of drive-response systems with uncertain parameter

This paper proposes an approach of finite-time synchronization to identify the topological structure and unknown parameters simultaneously for under general complex dynamical networks. Based on the finite-time stability theory, an effective control input and a feedback control with an updated law are designed to realize finite-time synchronization between two complex networks. The unknown network topological structure and system parameters of uncertain general complex dynamical networks are identified simultaneously. Since finite-time topology identification means the suboptimum in identified time, the results of this paper are important. Several useful criteria for finite-time synchronization are given. Finally, two examples simulations for supporting the theoretical results are also provided.     

Finite-time uniform stability of functional differential equations with applications in network synchronization control

In this paper, we investigate finite-time uniform stability of functional differential equations with applications in network synchronization control. First, a Razumikhin-type theorem is derived to ensure finite-time uniform stability of functional differential equations. Based on the theoretical results, finite-time uniform synchronization is proposed for a class of delayed neural networks and delayed complex dynamical networks by designing nontrivial and simple control strategies and some novel criteria are established. Especially, a feasible region of the control parameters for each neuron is derived for the realization of finite-time uniform synchronization of the addressed neural networks, which provide a great convenience for the application of the theoretical results. Finally, two numerical examples with numerical simulations are provided to show the effectiveness and feasibility of the theoretical results.     

Finite-time stochastic synchronization of complex networks

In this paper, we study the finite-time stochastic synchronization problem for complex networks with stochastic noise perturbations. By using finite-time stability theorem, inequality techniques, the properties of Weiner process and adding suitable controllers, sufficient conditions are obtained to ensure finite-time stochastic synchronization for the complex networks. The effects of control parameters on synchronization speed and time are also analyzed. The results of this paper are applicable to both directed and undirected weighted networks while do not need to know any information about eigenvalues of coupling matrix. Since finite-time synchronization means the optimality in convergence time and has better robustness and disturbance rejection properties, the results of this paper are important. A numerical example shows the effectiveness of our new results.     

Generalized function projective (lag, anticipated and complete) synchronization between two different complex networks with nonidentical nodes

Generalized function projective (lag, anticipated and complete) synchronization between two different complex networks with nonidentical nodes is investigated in this paper. Based on Barbalat’s lemma, some sufficient synchronization criteria are derived by applying the nonlinear feedback control. Although previous work studied function projective synchronization on complex dynamical networks, the dynamics of the nodes are coupled partially linear chaotic systems. In our work, the dynamics of the nodes of the complex networks are any chaotic systems without the limitation of the partial linearity. In addition, each network can be undirected or directed, connected or disconnected, and nodes in either network may have identical or different dynamics. The proposed strategy is applicable to almost all kinds of complex networks. Numerical simulations further verify the effectiveness and feasibility of the proposed synchronization method. Numeric evidence shows that the synchronization rate is sensitively influenced by the feedback strength, the time delay, the network size and the network topological structure.     

Impulsive synchronization seeking in general complex delayed dynamical networks

The present paper investigates the issues of impulsive synchronization seeking in general complex delayed dynamical networks with nonsymmetrical coupling. By establishing the extended Halanay differential inequality on impulsive delayed dynamical systems, some simple yet generic sufficient conditions for global exponential synchronization of the impulsive controlled delayed dynamical networks are derived analytically. Compared with some existing works, the distinctive features of these sufficient conditions indicate two aspects: on the one hand, these sufficient conditions can provide an effective impulsive control scheme to synchronize an arbitrary given delayed dynamical network to a desired synchronization state even if the original given network may be asynchronous itself. On the other hand, the controlled synchronization state can be selected as a weighted average of all the states in the network for the purpose of practical control strategy, which reveals the contributions and influences of various nodes in synchronization seeking processes of the dynamical networks. It is shown that impulses play an important role in making the delayed dynamical networks globally exponentially synchronized. Furthermore, the results are applied to a typical nearest-neighbor unidirectional time-delay coupled networks composed of chaotic FHN neuron oscillators, and numerical simulations are given to demonstrate the effectiveness of the proposed control methodology.     

Global finite-time synchronization of different dimensional chaotic systems

This paper addresses the problem of global finite-time synchronization of two different dimensional chaotic systems. Firstly, the definition of global finite-time synchronization of different dimensional chaotic systems are introduced. Based on the finite-time stability methods, the controller is designed such that the chaotic systems are globally synchronized in a finite time. Then, some uncertain parameters are adopted in the chaotic systems, new control law and dynamical parameter estimation are proposed to guarantee that the global finite-time synchronization can be obtained. By considering a dynamical parameter designed in the controller, the adaptive updated controller is also designed to achieve the desired results. At last, the results of two different dimensional chaotic systems are also extended to two different dimensional networked chaotic systems. Finally, three numerical examples are given to verify the validity of the proposed methods.     

Adaptive linear generalized synchronization between two nonidentical networks

In this paper, the linear generalized synchronization between two nonidentical complex dynamical networks is investigated. Both non-delay and delay-coupled complex dynamical networks are studied. By designing effective adaptive controllers, the linear generalized synchronization between two networks with identical and nonidentical topological structures can realize. The feasibility of the proposed scheme is proved in theory and illustrative examples are presented to demonstrate the application of the theoretical results.     

Finite-time synchronization control of complex dynamical networks with time delay

In this paper, the finite-time synchronization between two complex networks with non-delayed and delayed coupling is proposed by using the impulsive control and the periodically intermittent control. Some novel and useful finite-time synchronization criteria are derived based on finite-time stability theory. Especially, the traditional synchronization criteria are improved by using the impulsive control and the periodically intermittent control in the convergence time, the results of this paper are important. Finally, numerical examples are given to verify the effectiveness and correctness of the synchronization criteria.     

异维混沌动力系统的有限时间广义同步

本文研究了异维混沌动力系统的有限时间广义同步的问题.利用有限时间Lyapunov稳定性定理、Jensen不等式等理论方法,通过设置不同的控制器,从理论上提出了一般的异维驱动系统和响应系统的有限时间广义同步的两种方案,并且对方案二中的影响同步时间因素做了理论分析和证明.最后,数值模拟验证了提出理论的正确性和可行性.