离散广义Markov跳变系统的镇定性

针对转移概率部分未知情况下的离散时间广义Markov跳变系统,研究了系统的稳定性和镇定性。转移概率部分未知的情况包含了转移概率完全已知和完全未知两种特殊情况,具有更广泛的实际意义。首先利用线性矩阵不等式方法,将离散Markov跳变系统的结论推广到离散广义Markov跳变系统,提出了使开环系统随机稳定的充分条件;在此基础上,进一步提出了闭环系统可镇定的判据,并表示为线性矩阵不等式形式;最后,通过仿真算例验证了所提方法的有效性。     

基于非精确计算的空间探测相控阵雷达任务规划算法

针对空间探测相控阵雷达系统,提出了一种新的基于非精确计算模型的观测任务规划算法。首先,建立了目标观测的实时任务模型,并分析了观测任务所占用传感器的资源;其次,基于非精确计算模型,提出一种多任务并行的实时容错调度算法来解决观测任务规划问题,该算法综合考虑相控阵雷达的搜索任务与跟踪任务,来进行系统资源的分配。对于跟踪任务,算法结合目标的过境时间以及当前系统的负载情况,以此来确定雷达对该目标的观测时间段;最后给出了算法的评估方法。利用2886个低轨空间目标进行仿真验证,结果表明,基于非精确计算模型的任务规划算法,可显著提高系统调度成功率以及时间资源利用率．比传统方法更稳健。     

Remarks on “A new non-specificity measure in evidence theory based on belief intervals”

Two types of uncertainty co-exist in the theory of evidence: discord and non-specificity. From 90s, many mathematical expressions have arisen to quantify these two parts in an evidence. An important aspect of each measure presented is the verification of a coherent set of properties. About non-specificity, so far only one measure verifies an important set of those properties. Very recently, a new measure of non-specificity based on belief intervals has been presented as an alternative measure that quantifies a similar set of properties (Yang et al., 2016). It is shown that the new measure really does not verify two of those important properties. Some errors have been found in their corresponding proofs in the original publication.     

隐身飞行器突防仿真的特征信号新建模方法

针对突防目标不同角域内RCS(Radar Cross Section)差异较大的情况,提出5种不同的突防目标特征信号雷达重点探测区域建模方案.在计算机仿真平台上,根据目标的周向散射特性,按照这5种不同的模型取RCS均值计算雷达对目标的探测概率值.不同建模方案所得探测概率值与精确探测概率值的平均误差分别为: 13.66%,12.35%,6.6%,5.07%和2.4%.平均误差的差异表明:采用5个或8个特征信号重点探测区域的建模方案,所得探测概率值的误差小,能反映出雷达对目标探测概率的动态变化过程.仿真平台中,这两种建模方案无需存储大量目标的RCS值,只需记录5个或8个目标的RCS均值,可节省计算机的存储量,提高计算速度.     

A novel imprecise stochastic process model for time-variant or dynamic uncertainty quantification

This paper proposes a novel model named as “imprecise stochastic process model” to handle the dynamic uncertainty with insufficient sample information in real-world problems. In the imprecise stochastic process model, the imprecise probabilistic model rather than a precise probability distribution function is employed to characterize the uncertainty at each time point for a time-variant parameter, which provides an effective tool for problems with limited experimental samples. The linear correlation between variables at different time points for imprecise stochastic processes is described by defining the auto-correlation coefficient function and the cross-correlation coefficient function. For the convenience of analysis, this paper gives the definition of the P-box-based imprecise stochastic process and categorizes it into two classes: parameterized and non-parameterized P-box-based imprecise stochastic processes. Besides, a time-variant reliability analysis approach is developed based on the P-box-based imprecise stochastic process model, through which the interval of dynamic reliability for a structure under uncertain dynamic excitations or time-variant factors can be obtained. Finally, the effectiveness of the proposed method is verified by investigating three numerical examples.     

Atomic structure of the doubly ionized titanium Ti III ion

In this work, the atomic structure of Ti III is calculated using two methods, the Thomas-Fermi–Dirac-Amaldi (TFDA) method using the AUTOSTRUCTURE (AS) atomic structure code and the pseudo-relativistic Hartree–Fock (HFR) method using the Cowan (CW) atomic structure code. We used the terms and levels generated by the 19 configurations: 3p⁶ 3d², 3dns (n = 4–7), 3dnp (n = 4–7), 3dnd (n = 4–7), 3d nf (n = 4–7), 3p⁶ 4s²,3p⁶ 4s4p. Our calculated values are compared with available experimental and theoretical results and new theoretical data of our own are obtained.