STABILITY ANALYSIS OF CAUSAL INTEGRAL EVOLUTION IMPULSIVE SYSTEMS ON TIME SCALES

In this article,we present the existence,uniqueness,Ulam-Hyers stability and Ulam-Hyers-Rassias stability of semilinear nonautonomous integral causal evolution impulsive integro-delay dynamic systems on time scales,with the help of a fixed point approach.We use Gronwall’s inequality on time scales,an abstract Growall’s lemma and a Picard operator as basic tools to develop our main results.To overcome some difficulties,we make a variety of assumptions.At the end an example is given to demonstrate the validity of our main theoretical results.

Impulsive Predator-Prey Dynamic Systems with Beddington-DeAngelis Type Functional Response on the Unification of Discrete and Continuous Systems

In this study, the impulsive predator-prey dynamic systems on time scales calculus are studied. When the system has periodic solution is investigated, and three different conditions have been found, which are necessary for the periodic solution of the predator-prey dynamic systems with Beddington-DeAngelis type functional response. For this study the main tools are time scales calculus and coincidence degree theory. Also the findings are beneficial for continuous case, discrete case and the unification of both these cases. Additionally, unification of continuous and discrete case is a good example for the modeling of the life cycle of insects.

Global exponentially stability for time-delay and time-varying measure large scale systems with impulsive effects

The global exponentially stability was studied for time-delay and time-varying measure large scale systems with impulsive effects. Firstly, the concepts are drawn for the functional category. Secondly, some sufficient conditions of the uniformly stability and the global exponentially stability are given for the above systems through defining a Lyapunov function of the weighting sum of the variable absolute by using the Lyapunov function method and the comparison principle. At the same time, the new conclusion of stability of these systems is more universal and contains the existing results. Finally, an example is given to illustrate the feasibility and validity of the obtained results.

Methods of reduction for Lagrange systems on time scales with nabla derivatives

The Routh and Whittaker methods of reduction for Lagrange system on time scales with nabla derivatives are studied.The equations of motion for Lagrange system on time scales are established, and their cyclic integrals and generalized energy integrals are given. The Routh functions and Whittaker functions of Lagrange system are constructed, and the order of differential equations of motion for the system are reduced by using the cyclic integrals or the generalized energy integrals with nabla derivatives. The results show that the reduced Routh equations and Whittaker equations hold the form of Lagrnage equations with nabla derivatives. Finally, two examples are given to illustrate the application of the results.

On the conjunction practical stability and controllability of large-scale impulsive control systems

We studied the conjunction practical stability and controllability of large-scale impulsive control systems by using the comparison systems and vector Lyapunov fimctions. Then the less conservative sufficient conditions for conjunction practical stability and controllability of large-scale impulsive control system were obtained.

Dynamic interaction numerical models in the time domain based on the high performance scaled boundary finite element method

Consideration of structure-foundation-soil dynamic interaction is a basic requirement in the evaluation of the seismic safety of nuclear power facilities. An efficient and accurate dynamic interaction numerical model in the time domain has become an important topic of current research. In this study, the scaled boundary finite element method （SBFEM） is improved for use as an effective numerical approach with good application prospects. This method has several advantages, including dimensionality reduction, accuracy of the radial analytical solution, and unlike other boundary element methods, it does not require a fundamental solution. This study focuses on establishing a high performance scaled boundary finite element interaction analysis model in the time domain based on the acceleration unit-impulse response matrix, in which several new solution techniques, such as a dimensionless method to solve the interaction force, are applied to improve the numerical stability of the actual soil parameters and reduce the amount of calculation. Finally, the feasibility of the time domain methods are illustrated by the response of the nuclear power structure and the accuracy of the algorithms are dynamically verified by comparison with the refinement of a large-scale viscoelastic soil model.

Decentralized Stabilization of Large-scale Uncertain Systems with State-Delays——LMIs Approach

This paper deals with the problem of decentralized robustcontrol for a class of interconnected uncertain systemswith state delays.The parameter uncertainties are un-known but norm-bounded.A new sufficient condition isobtained for each subsystem and overall system to be sta-bilizable via linear memoryless state feedback robust de-centralized controllers.The results depend on the size of the delays and are given in terms of linear matrix ine-qualities,so they are less conservative than those of delay-independent.Moreover,matching condition is not a necessary condition.Finally,an example is presented to illustrative the effectiveness of the proposed method.

Understanding the Dynamics Location of Very Large Populations Interacted with Service Points

This paper offers preliminary work on system dynamics and Data mining tools. It tries to understand the dynamics of carrying out large-scale events, such as Hajj. The study looks at a large, recurring problem as a variable to consider, such as how the flow of people changes over time as well as how location interacts with placement. The predicted data is analyzed using Vensim PLE 32 modeling software, GIS Arc Map 10.2.1, and AnyLogic 7.3.1 software regarding the potential placement of temporal service points, taking into consideration the three dynamic constraints and behavioral aspects: a large population, limitation in time, and space. This research proposes appropriate data analyses to ensure the optimal positioning of the service points with limited time and space for large-scale events. The conceptual framework would be the output of this study. Knowledge may be added to the insights based on the technique.

GENERALIZED DHALQUIST CONSTANT WITH APPLICATION IN STABLE ANALYSIS FOR DYNAMIC SYSTEMS ON TIME SCALES

A novel and effective approach to exponentially stable analysis for dynamic systems on time scales is investigated using the nonlinear operator named the generalized Dahlquist constant in this paper, and simple yet generic criteria are derived ensuring the robust stability.

EXISTENCE OF POSITIVE SOLUTIONS TO A SYSTEM OF DYNAMIC EQUATIONS WITH PARAMETERS ON TIME SCALES

In this paper, we consider a three-point boundary value problem for a system of dynamic equations with parameters on time scales. Applying fixed point theorems,we give the existence of positive solutions to the problem. Examples are also included to illustrate our results.

Multi-time scale dynamics in power electronics-dominated power systems

Electric power infrastructure has recently undergone a comprehensive transformation from electromagnetics to semiconductors. Such a development is attributed to the rapid growth of power electronic converter applications in the load side to realize energy conservation and on the supply side for renewable generations and power transmissions using high voltage direct current transmission. This transformation has altered the fundamental mechanism of power system dynamics, which demands the establishment of a new theory for power system control and protection. This paper presents thoughts on a theoretical framework for the coming semiconducting power systems.

Study on Variation of Parameters Formula and Stability for Impulsive Time－Delay Nonlinear Large Scale Systems

This work concerns the representation and stability properties of impulsive solutions for a class of time-delay and measure nonlinear large scale systems. On the basis of fundamental solution of the correspollding ordinary time-delay nonlinear large scale systems is established.By lumped Picard and Gauss-Seidel iteration methods which avoided the difficulties of constructing lyapunov functin, the explicit algebraic criteria of exponential stability for the impulsive and time-delay system are obtained.

考虑动态频率约束的多能源电力系统日前-日内优化调度

提出考虑系统动态频率约束的含风电-电池储能-抽蓄电力系统协调优化调度策略。首先,建立含风电机组、电池储能和抽水蓄能的电力系统频率响应模型,并对系统调频响应过程进行分段线性化处理,降低计算的复杂度。然后,根据各机组的爬坡速度、启停约束、功率跟踪能力等因素的差异,建立日前-日内协调的多时间尺度优化调度模型。日前阶段制定考虑动态频率约束的火电机组和抽水蓄能的机组启停和出力计划;日内阶段优化电池储能的充放电状态计划,并调整火电和抽蓄的出力计划,促进风电消纳。最后,在含风电、变速抽蓄和电池储能的改进IEEE-39节点系统中进行算例分析,结果证明所提方法能提高系统频率稳定性,减少弃风量,兼顾电力系统经济调度和频率稳定目标。

考虑供热管网储热的综合能源系统多时间尺度优化调度

综合能源系统供热管网储热具有巨大的调控潜能,针对此特性,基于二阶迎风隐式方程建立热网动态特性模型,并提出一种考虑管网储热的综合能源系统多时间尺度调度方法。首先,在日前调度阶段,考虑管网的储热特性并进行主动调控以提高系统运行的经济性;日内上层调度阶段,利用管网储热特性消除供热延时效应,并在日前调度的基础上对设备出力进行修正;日内下层调度阶段,对电力系统在更小的时间尺度上进行调度以满足其响应时间较短的特性。算例分析结果表明,提出的供热系统模型可以有效计算热力潮流与管网储热量,提出的多时间尺度调度方法能够在兼顾经济性的同时有效平抑源荷波动,实现系统安全稳定运行。

面向多时间断面的电-热综合能源系统分布式协同状态估计方法

针对电-热综合能源系统,提出了一种面向多时间断面的状态估计方法,考虑了热能传输时间延迟特性对当前估计时刻的影响,采用电网侧和热网侧的测量数据综合估计系统状态量;应用分布式协同求解方法,建立了状态估计求解框架,依据子系统耦合特性对每一个网侧的估计数据实行边界约束,改进结果精度,完成时间窗的推移。结果表明:面向多时间断面的状态估计方法在小时间尺度下能够更准确地跟踪监测系统的实时运行状态,估计能力维持在较稳定的水平,对降低计算误差、提高求解效率具有积极意义。

多时间尺度电力系统的模型降阶及稳定性分析(二)电力系统的降阶与中长期失稳

从元件的基本方程出发 ,导出了电力系统的三时间尺度模型。利用慢流形和快流形的概念 ,研究了电力系统三时间尺度动态模型降阶的条件。在感应电动机并联线性阻抗的负荷模型下 ,证明了在静态稳定和暂态稳定分析中略去发电机定子绕组阻尼磁链和负荷感应电动机转子绕组磁链动态的合理性 ;证明了在静态稳定分析中固定发电机组原动机力矩的合理性 ;通过一个利用固定负荷慢动态的降阶模型判断暂态稳定性导致误判的实例 ,说明了在暂态稳定分析中随意地固定负荷慢动态是不可取的 。

复杂系统数据挖掘的多尺度混合算法

任何复杂系统都要受到某些基本规律的约束,包括宏观、中观与微观的多层次规律的约束.怎样从一个系统的这些偶然现象(观测数据)中找出它的必然规律,是知识发现(KDD)与数据挖掘(DM)的首要任务,也是研究目标.建立了一个基于演化计算与自然分形相结合的多尺度的动态预测系统.它以微分方程描述系统的宏观行为,以自然分形刻画系统的微观行为.同时,以股票市场数据(君安证券股票数据)和科学观测数据(武汉汛期雨量数据)为例,进行了分析与预测模拟.数值实验表明,该系统的描述(拟合)性能优越,即使是对起伏波动很大的时间序列,也能拟合得很好,预测效果也较好.

开销敏感的多处理器最优节能实时调度算法

嵌入式多处理器系统的能耗问题变得日益重要,如何减少能耗同时满足实时约束成为多处理器系统节能实时调度中的一个重要问题.目前绝大多数研究基于关键速度降低处理器的频率以减少动态能耗,采用关闭处理器的方法减少静态能耗.虽然这种方法可以实现节能,但是不能保证最小化能耗.而现有最优的节能实时调度未考虑处理器状态切换的时间和能量开销,因此在切换开销不可忽视的实际平台中不再是最优的.文中针对具有独立动态电压频率调节和动态功耗管理功能的多处理器系统,考虑处理器切换开销,提出一种基于帧任务模型的最优节能实时调度算法.该算法根据关键速度来判断系统负载情况,确定具有最低能耗值的活跃处理器个数,然后根据状态切换开销来确定最优调度序列.该算法允许实时任务在处理器之间任意迁移,计算复杂度小,易于实现.数学分析证明了该算法的最优性.

多核系统中基于G1obal EDF的在线节能实时调度算法

随着多核系统能耗问题日益突出,在满足时间约束条件下降低系统能耗成为多核实时节能调度研究中亟待解决的问题之一.现有研究成果基于事先已知实时任务属性的假设,而实际应用中,只有当任务到达之后才能够获得其属性.为此,针对一般任务模型,不基于任何先验知识,提出一种多核系统中基于Global EDF在线节能硬实时任务调度算法,通过引入速度调节因子,利用松弛时间,结合动态功耗管理和动态电压/频率调节技术,降低多核系统中任务的执行速度,达到实时约束与能耗节余之间的合理折衷.所提出的算法仅在上下文切换和任务完成时进行动态电压/频率调节,计算复杂度小,易于在实时操作系统中实现.实验结果表明,该算法适用于不同类型的片上动态电压/频率调节技术,节能效果始终优于Global EDF算法,最多可节能15%～20%,最少可节能5%～10%.

电—气互联综合能源系统多时间尺度动态优化调度

对于时空相关的天然气管存,应用多时间尺度/模型预测控制尤为重要。计及天然气管网的慢动态特性,考虑暂态天然气系统变量存在时段耦合的特性,提出了基于模型预测控制的多时间尺度优化调度策略,使机组有功出力和气源产气控制过程更为平滑。其中,以日前优化调度得到的有功出力值和产气量为参考值,基于模型预测控制,进行日内多时段滚动优化。最后,对修改的IEEE 24节点电力系统和比利时20节点天然气系统进行算例分析,验证了所提优化调度方法的可行性以及有效性,并分析了气网管存对电—气互联综合能源系统运行的影响。