ON LIMITATIONS OF THE SAMPLED—DATA FEEDBACK FOR NONPARAMETRIC DYNAMICAL SYSTEMS

In this paper, we study a basic class of first order sampled-data control systems with unknown nonlinear structure and with sampling rate not necessarily fast enough, aiming at understanding the capability and limitations of the sampled-data feedback. We show that if the unknown nonlinear function has a linear growth rate with its "slope" (denoted by L) being a measure of the "size" of uncertainty, then the sampling rate should not exceed 1/L multiplied by a constant (≈ 7.53) for the system to be globally stabilizable by the sampled-data feedback. If, however, the unknown nonlinear function has a growth rate faster than linear, and if the system is disturbed by noises modeled as the standard Brownian motion, then an example is given, showing that the corresponding sampled-data system is not stabilizable by the sampled-data feedback in general, no matter how fast the sampling rate is.     

POISSON TRAFFIC PROCESSES IN PURE JUMP MARKOV PROCESSES AND GENERALIZED NETWORKS

1 IlltroductionThaffic processes in a Markov process are point processes associated with the jurnp epochsof the Markov process and their behavior can be described in terms of the characteristics ofthe MaxkOv process. The study of traffic processes is conducive to a better Understanding ofstochastic systems and networks in manufacturing, telecorn-mu-nicatiolls, computer design andperformance evaluation, etc. Since the stochastic systems and networks with Poisson trafficprocesses are much more…     

交流电网中负载有效值电压线性控制器的设计

本文介绍了工作于交流电网中线性负载有效值电压线性控制器的设计.此设计方法简单、产品成本低、性能好,很容易实现优于2％的线性度和优于2％的系统稳定度,有较强的抗干扰能力,适宜在闭环或开环控制系处中作为最终线性动力负载的电压线性控制器使用,有较强的工业应用价值。     

复杂网络输出同步及稳定性分析

针对现实复杂网络系统的状态经常难以观测,甚至观测不到,而有时仅部分状态能达到同步就能满足需要的情况,讨论了复杂网络输出同步问题.首先提出了复杂网络的输出同步概念,然后考虑了输出矩阵为奇异和非奇异的两种情况下的稳定性问题,给出了输出达到同步的几个充分条件.最后给出算例表明了在不满足状态同步的情况下,可实现复杂网络系统输出同步.     

MODELING AND ANALYSIS OF ENERGY SYSTEM BASED ON COMPLEX ADAPTIVE SYSTEM

Complex adaptive system (CAS) is a kind of complex system in natural and artificial systems. In this paper, the theory of complex adaptive system is introduced at first. Considering the characteristic of energy system, it can be regarded as a complex adaptive system. After the evolutionary law is analysed, the energy complex system model is established based on CAS and application tool SWARM, which is a simulation software platform. The model differs from the models as well as methods developed before. As an application, China's energy system is simulated with the model established above. China's future total energy demand in the future, energy structure and related in fluence on environment are presented.     

ROBUST CONSENSUS FOR MULTI-AGENT SYSTEMS OVER UNBALANCED DIRECTED NETWORKS

In this paper, a distributed consensus protocol is proposed for discrete-time single-integer multi-agent systems with measurement noises under general fixed directed topologies, The time-varying control gains satisfying the stochastic approximation conditions are introduced to attenuate noises, thus the closed-loop multi-agent system is intrinsically a linear time-varying stochastic difference system. Then the mean square consensus convergence analysis is developed based on the Lyapunov technique, and the construction of the Lyapunov function especially does not require the typical balanced network topology condition assumed for the existence of quadratic Lyapunov function. Thus, the proposed consensus protocol can be applicable to more general networked multi-agent systems, particularly when the bidirectional and/or balanced information exchanges between agents are not required. Under the proposed protocol, it is proved that the state of each agent converges in mean square to a common random variable whose mathematical expectation is the weighted average of agents＇ initial state values; meanwhile, the random variable＇s variance is bounded.     

STABILITY OF N-DIMENSIONAL LINEAR SYSTEMS WITH MULTIPLE DELAYS AND APPLICATION TO SYNCHRONIZATION

This paper further investigates the stability of the n-dimensional linear systems with multiple delays. Using Laplace transform, we introduce a definition of characteristic equation for the n-dimensional linear systems with multiple delays. Moreover, one sufficient condition is attained for the Lyapunov globally asymptotical stability of the general multi-delay linear systems. In particular, our result shows that some uncommensurate linear delays systems have the similar stability criterion as that of the commensurate linear delays systems. This result also generalizes that of Chen and Moore （2002）. Finally, this theorem is applied to chaos synchronization of the multi-delay coupled Chua＇s systems.     

SWITCHING CONTROL： FROM SIMPLE RULES TO COMPLEX CHAOTIC SYSTEMS

This paper reviews and introduces some simple switching piecewise-linear controllers, which can generate complex chaotic behaviors from simple switching systems.The mechanism of simple switching rules creating complex chaotic behaviors is further investigated.     

Cluster Synchronization in a Complex Dynamical Network with Two Nonidentical Clusters

This paper further investigates cluster synchronization in a complex dynamical network with two-cluster. Each cluster contains a number of identical dynamical systems, however, the subsystems composing the two clusters can be different, i.e., the individual dynamical system in one cluster can differ from that in the other cluster. Complete synchronization within each cluster is possible only if each node from one cluster receives the same input from nodes in other cluster. In this case, the stability condition of one-cluster synchronization is known to contain two terms： the first accounts for the contribution of the inner-cluster coupling structure while the second is simply an extra linear term, which can be deduced by the ＂same-input＂ condition. Applying the connection graph stability method, the authors obtain an upper bound of input strength for one cluster if the first account is known, by which the synchronizability of cluster can be scaled. For different clusters, there are different upper bound of input strength by virtue of different dynamics and the corresponding cluster structure. Moreover, two illustrative examples are presented and the numerical simulations coincide with the theoretical analysis.     

THE EXISTENCE OF JENSEN BOUNDARY POINTS IN COMPLEX BANACH SPACES

Inthelasttenyears,severalremarkableresultswereestablishedinthegeometricaltheoryofinfinitelydimensionalcomplexBanachspaces.In[1],A.V.BukhvalovandA.A.DanilevichhaveintroducedtheanalyticRadon--NikodympropertyincomplexBanachspaces,whichcanbeseenastheanalyticanalogueofthewell-knownRadon-NikodympropertyconcerningtherealstructuresofBanachspaces.TheanalyticRadon-Nikodympropertyhasbeenextensivelystudied(see[2--6]),onecancharacterizetheanalyticRadon-Nikodympropertyintermsoftheconvergenceofplurisub…     

MINIMUM PROFILE OF GRID NETWORKS

ＭＩＮＩＭＵＭＰＲＯＦＩＬＥＯＦＧＲＩＤＮＥＴＷＯＲＫＳ￥ＬＩＮＹｉｘｕｎ；ＹＵＡＮＪｉｎｊｉａｎｇ（ＤｅｐｏｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＺｈｅｎｇｚｈｏｕＵｎｉｖｅｒｓｉｔｙ，Ｚｈｅｎｇｚｈｏｕ４５００５２，Ｃｈｉｎａ）Ａｂｓｔｒａｃｔ...     

An Analysis of an SIRS Epidemic Model with General Direct Immunization in Networks北大核心CSCD

We consider an SIRS epidemic model with a general direct immunization rate on networks. By constructing suitable Lyapunov functions, we find that the dynamical behvaior of the model is completely determined by the epidemic threshold λc. When λ≤λc, the disease-free equilibrium is globally asymptotically stable; when λ>λc, the endemic equilibrium is globally asymptotically stable. In addition, we propose a uniform direct immunization and a targeted direct immunization. The results show that under the same average immunization rate s there exists a critical immunization-lost rate δc so that the epidemic threshold of the targeted direct immunization is smaller (larger) than that of the uniform direct immunization if δ<δc(δ>δc). © 2017, The Journal of Agency of Complex Systems and Complexity Science. All right reserved.     

DYNAMICAL BEHAVIORS OF A FOUR-DIMENSIONAL SYSTEM IN INFECTIOUS DISEASE

ＤＹＮＡＭＩＣＡＬＢＥＨＡＶＩＯＲＳＯＦＡＦＯＵＲ－ＤＩＭＥＮＳＩＯＮＡＬＳＹＳＴＥＭＩＮＩＮＦＥＣＴＩＯＵＳＤＩＳＥＡＳＥＬＩＮＹｉｐｉｎｇ（ＹｕｎｎａｎＩｎｓｔｉｔｕｔｅｏｆＡｐｐｌｉｅｄＭａｔｈｅｍａｔｉｃｓ，ＫｕｎｍｉｎｇＩｎｓｔｉｔｕｔｅｏ...     

Adaptive synchronization of a class of chaotic systems via variable structure control

1.INTRODUCTION Synchronizationofchaoticdynamicalsystemshasre centlyattractedincreasingattentionduetoitspoten tialapplicationsinmanyfieldssuchassecurecommu nication,chemicalreactions,biologicalsystemsand informationprocessing[1～4].Someexistingsuccessfulmethodsandtechniques havebeenreviewed.Reference[2]adoptsadaptive variablestructurecontrolforchaoticsynchronization.InRef.[3],activecontrolisusedforuncertain chaoticsystemswithparametersperturbation,and synchronizationproblemofunidirectional…     

具有无标度拓扑结构的耦合映象格子的同步与控制

研究了具有无标度拓扑结构的耦合映象格子的同步和控制，为此，采用3种反馈方法（常数反馈和两种时延反馈）对系统的部分节点进行控制以达到所期望的状态。分别计算和分析了控制后产生的新分岔图。同时发现：对于第一种时延反馈控制，临界反馈控制值线性地随着耦合映象格子的耦合强度的线性增长而增大；当控制强度大于临界反馈控制值时，具有无标度拓扑结构的耦合映象格子系统会失去同步状态进而出现间歇振荡现象。     

单泵驱动双马达速度同步控制技术研究

提出一种改进的NarandraMRAC方案,结合恒压网络技术,对单泵驱动双马达速度同步控制问题进行了研究。该方案对恒压网络压力波动、负载干扰具有较强的鲁棒性。采用独立泵源驱动双马达同步控制方案适用于工程机械行走系统,对越野性能要求高的步兵战车驱动系统也具有适用性。     

COMPLEX ECO-ECONOMY SYSTEM

In the past there were a lot of researches on the topic of economic growth. Nevertheless, the environment has been a bit abstracted by standard economics. Scarce natural resources and our choices to protect them or exploit them jointly determine the economic and environmental systems. In this paper we describe a model with a particular focus on the relationship among income, pollution, and non-renewable resources. We want to combine both economic and environmental sectors. The system dynamics approach is used in analyzing these complex relationships. This paper gives an insight into the possibilities for replacing non-renewable resources with more renewable ones. Next, we present the simulation runs of the model that are conducted with the help of existing system dynamics modeling tools. Only the relationships simulated so far between the variables ought to be put under yet more cautious examination.     

基于统计同步算法的计算机外时钟同步系统设计与仿真

重点研究了基于统计同步算法的计算机外时钟同步系统的设计问题。首先对网络延迟进行测量，并得出网络延迟的对数正态分布的统计模型。然后，提出了一种PCS算法性能的软件仿真检验方法，并利用该方法对PCS算法的同步精度与概率性能进行仿真检测。结果表明，基于PCS算法的外时钟同步系统是可行、有效的，能较好地满足实际系统在同步精度与概率性能两方面的要求。     

基于正交函数网络的不确定混沌系统的控制

提出了基于正交函数网络的不确定混沌系统的自适应控制方法．通过利用计算简单、收敛速度快的单隐层正交函数神经网络，构建了一类不确定混沌系统的控制器．利用李雅普诺夫稳定性定理得到了该网络控制器的权值更新规则并保证了权值误差和跟踪误差的有界性．该控制器不仅能够保证混沌系统以有界误差对指定轨迹进行精确跟踪，也能够使有外部扰动的混沌系统快速跟踪一个指定的轨迹．最后，利用陈氏混沌系统和Lorenz系统进行了系统仿真，结果表明了该控制器在混沌控制中的有效性。