基于采样密度和流形弯曲度的动态邻域算法

针对流形学习的邻域优化问题,提出一种动态邻域的算法。基于局部采样密度和流形弯曲度估计切空间,并为所有样本点动态地选择邻域,其参数可通过计算残差自动确定。实验结果表明,将这种算法应用于ISOMAP后,邻域得到进一步优化,嵌入结果也更加准确。     

不同理性双寡头R&D竞争分析及混沌控制

利用动力系统的分支理论研究具有不同理性层次的双寡头R&D竞争模型.讨论了该模型均衡点的存在性与稳定性,并进行了数值仿真.仿真结果表明:考虑到企业的个人理性要求,现实中的模型稳定点数量町能比理论上的少,而Nash均衡点是模型的唯一稳定点:R&D投入调整速度的变化对模型的稳定性有较明显的影响;运用延迟反馈控制法可使陷入混沌状态的模型晕新稳定在Nash均衡.     

Analysis and synthesis of attractive quantum Markovian dynamics

We propose a general framework for investigating a large class of stabilization problems in Markovian quantum systems. Building on the notions of invariant and attractive quantum subsystem, we characterize attractive subspaces by exploring the structure of the invariant sets for the dynamics. Our general analysis results are exploited to assess the ability of open-loop Hamiltonian and output-feedback control strategies to synthesize Markovian generators which stabilize a target subsystem, subspace, or pure state. In particular, we provide an algebraic characterization of the manifold of stabilizable pure states in arbitrary finite-dimensional Markovian systems, that leads to a constructive strategy for designing the relevant controllers. Implications for stabilization of entangled pure states are addressed by example.     

Robust synchronization in an array of fuzzy delayed cellular neural networks with stochastically hybrid coupling

In this paper, the robust synchronization control problem of an array of fuzzy cellular neural networks with uncertain stochastically coupling is investigated, which involves constant coupling, discrete time-varying delay coupling and distributed time-varying delay coupling. By using adaptive feedback control scheme and exploiting some stochastic analysis techniques, several sufficient conditions are developed to ensure the synchronization of stochastically hybrid coupled fuzzy neural networks with all admissible uncertainties in mean square. Finally, a numerical example illustrated by scale-free complex networks is provided to show the effectiveness and the applicability of the proposed method.     

数据驱动的工业过程运行优化控制

现代工业过程机理复杂使得很难对生产过程以及运行指标与被控变量之间关系精确建模.如何基于工业运行过程数据信息,不依赖模型参数给出设定值设计方案,优化运行指标是一挑战性难题.本文针对在稳态附近可以线性化的一类工业过程,考虑运行控制环和底层控制环不同时间尺度,提出一种基于Q--学习方法的次优设定值学习算法.此算法完全利用数据,学习得到次优设定值,实现运行指标以次优的方式跟踪理想值.浮选过程仿真结果表明本文所提方法的有效性.     

基于改进流体扰动算法与灰狼优化的无人机三维航路规划

针对复杂地形环境下的无人机三维航路规划问题, 提出一种基于改进的扰动流体动态系统与灰狼优化理论的混合航路规划算法. 构建改进的扰动流体动态系统数学模型, 通过修正初始汇流得到扰动流场, 流场流线即可看作规划航路, 能有效避免驻点、局部陷阱等问题. 通过模拟灰狼群体的等级制度和捕食策略, 并引入个体记忆功能和优胜劣汰选择规则, 对障碍物反应系数进行寻优. 仿真结果表明, 规划出的三维航路平滑、可飞, 具有良好的避障特性.

     

Synchronisation of complex dynamical networks with additive stochastic time-varying delays

In this letter, a class of complex dynamical networks with additive stochastic time-varying delays is investigated. Two kinds of delays in complex dynamical networks are taken into consideration, one is called the nodes-induced delay in this paper, and the other is the network-induced delay. Both of the delays are assumed to obey different stochastic distributions. By utilising a novel Lyapunov–Krasovskii functional and stochastic analysis techniques, a sufficient criterion is obtained in the form of linear matrix inequalities to ensure the synchronisation of the complex dynamical networks. Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed method.     

Synchronization of stochastic complex dynamical networks under self‐triggered control

In this paper, we investigate the mean square exponential synchronization of stochastic nonlinear complex dynamical networks with or without communication delays. A new self‐triggered mechanism is proposed to reduce the amount of communication while preserving the desired system's performance. Under this mechanism, the next sampling instant is dynamically determined by the latest transmitted state rather than the online detection of the event‐triggered condition. Meanwhile, we show that the inter‐execution time of self‐triggered mechanism is bounded by a strictly positive constant, and the maximal allowable delay of the underlying system is given. A simulation is provided to illustrate the effectiveness of the proposed self‐triggered scenario. Copyright © 2016 John Wiley & Sons, Ltd.