Stability of impulsive stochastic functional differential systems in terms of two measures via comparison approach

Comparison principles for general impulsive stochastic functional differential systems are established.Employing the comparison principles and the theory of differential inequalities,stability and instability,involving two measures,of impulsive stochastic functional differential systems are investigated.Several stability and instability criteria are obtained,and two examples are also given to illustrate our results.     

基于电子鼻的香蕉储存时间鉴别方法研究

研究了一种基于电子鼻系统的香蕉储存时间鉴别方法。实验检测了不同储存时间的香蕉样品,主成分分析方法可以较好地区分不同储存时间的香蕉样品,同时检验了样品的微生物指标以探讨电子鼻响应与微生物指标之间的关系。随机共振信噪比谱不但可以区分香蕉样品,同时基于信噪比特征值建立的香蕉储存时间鉴别模型具有较高的预测准确率。该方法具有较好的实际应用价值。     

利用改进的差分进化算法求解等圆Packing问题

等圆Packing问题属于强约束的复杂组合优化问题之一,针对其强约束特点及难点,通过改进传统的差分进化算法,提出一种等圆Packing问题的求解方法。该改进算法特点是将有效解空间加入差分进化的变异约束中,并采用随机排序机制改进差分进化的选择机制。通过多次实验,表明此算法在求解小规模等圆Packing问题上取得的效果与目前所能找到的最优值相差不到0.6%,从而验证了演化计算在求解等圆Packing问题的可行性;与此同时,演化算法具有很好的收敛性,因此在其他强约束的复杂优化问题上将有很好的应用。     

观测永久丢失下随机离散事件系统故障预测的验证算法

针对随机离散事件系统在故障预测时可能出现系统观测永久丢失,导致预测不准确的问题,提出一种观测永久丢失下故障预测验证的算法。首先对观测永久丢失的随机离散事件系统的U-可预测性进行了形式化。其次使用随机预测器构造了一个随机离散事件系统的U-预测器,实现了系统的故障预测。基于U-预测器,提出了随机离散事件系统U-可预测性的充分必要条件及验证算法,并且引入成对的方式,明显地改进了该验证算法的复杂度。仿真结果表明,该验证算法使得观测永久丢失下系统故障预测准确。最后,实例说明观测永久丢失下故障预测验证算法的应用。结果表明,该验证算法相比现有同类验证算法应用范围更广,验证结果更精确。     

基于改进的NSGA2算法考虑病患公平性及医院运作成本的病床配置优化研究

针对目前医院病床调度存在运营成本较大以及医患关系之间公平性的问题,提出一个考虑医院运作成本和病患公平性下单科室病床分配的多目标随机规划模型。首先,根据基于医院的相关政策,提出一个考虑响应性与准入性的权重测度指标来反映医患关系的公平性,并考虑医院的运作成本建立多目标随机规划模型;其次,为方便算法求解,引入线性化方法将复杂模型处理成混合整数线性模型;最后,采用改进后的NSGA2算法对多目标问题求解,并对算例进行不同的数值实验。通过调整不同的参数进行相对应的灵敏度分析,改进后的算法提升了算法的收敛性与多样性,实验结果验证了模型的有效性和适用性。     

Memoryless SMC Design Methods for Stochastic Delay Systems

Recently, the sliding mode control (SMC) method has been extended to accommodate stochastic systems. Particularly, restrictive assumption on the structure of the control systems have been removed and a practical SMC design method for stochastic systems has been presented. This paper continues this line of research and studies the SMC methods for stochastic systems with state delay in diffusion. Both delay‐independent and delay‐dependent approaches are investigated. Essentially, this paper studies SMC design methods with memoryless controllers for time delay systems, which has been a problem in the past decades.     

Stability of Impulsive Stochastic Neutral Partial Differential Equations With Infinite Delays

In this paper, we study the existence and asymptotic stability in the pth moment of the mild solutions to impulsive stochastic neutral partial differential equations with infinite delays. Sufficient conditions ensuring the stability of the impulsive stochastic system are established. The results are obtained via the Banach fixed point theorem.     

Delay‐dependent stability for Markovian genetic regulatory networks with time‐varying delays

This paper is concerned with the problem of stochastic stability analysis for a class of genetic regulatory networks with Markovian jump parameters and time‐varying delays. A delay‐dependent stability criterion is derived by using a novel mode‐dependent Lyapunov functional. The derived stability criterion is expressed in terms of linear matrix inequalities and is less conservative than the existing ones in the literature. A numerical example is provided to demonstrate the effectiveness of the proposed stability criterion. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society     

建立加气砼直观数理模型的探索

若视加气砼为细观的“两相”材料,则可建立起其细观几何结构的随机直观数理模型,本文应用随机几何的方法探索了加气砼最佳合理内部细观几何结构模型的建立,及其计算机随机模拟,由细观角度讨论了改善加气砼性能的可能性。     

基于活塞形状改变的空气弹簧特性仿真研究

研究汽车装用空气弹簧刚度优化问题,活塞形状对膜式空气弹簧刚度特性的影响较大。为了提高整车的平顺性能,建立空气弹簧简化模型,得到圆台和倒圆台活塞形状下空气弹簧的有效承载半径影响因素。利用ABAQUS软件建立安装圆柱、圆台和倒圆台活塞的空气弹簧有限元模型进行,研究了不同圆台角下圆台活塞空气弹簧的刚度特性。仿真结果表明,在一定范围内,圆台角度越大,空气弹簧刚度也越大,证明与理论分析吻合,并对空气弹簧的设计和匹配具有一定的指导意义。