本文基于不确定参量的凸集合描述，研究了结构和多学科系统的不确定性分析与考虑不确定因素的优化设计问题。
In this paper, the uncertainty analysis and design problems for structural and multidisciplinary system were investigated in detail base on a non-probabilistic approach that is convex model theory.
利用混合单调分解方法研究离散非线性、时变凸多面体系统族的线性状态约束集合的鲁棒正不变性。
In this paper, the robust positive invariance of given linear state constraint sets of uncertain discrete time systems is studied by means of the mixed monotone decomposition method.
本文利用混合单调分解方法来研究离散时滞线性凸多面体系统族的线性状态约束集合的鲁棒正不变性。
In this paper, the robust positive invariance of given linear state constraint sets of uncertain discrete-time delay systems is studied by means of the mixed monotone decomposition method.
利用集合的表示函数、支撑函数、距离函数和投影等研究闭凸体的典范表示及点到边界的投影特征。
Some relationships among the support function and indicator function of a convex set and their second-order epi-derivatives are given.
提出了基于硬限幅功能函数的前向神经网络的分类学习算法，并将其应用于可分凸集或不交集合的分类。
A learning algorithm based on a hard limiter for feedforward neural networks (NN) is presented, and is applied in solving classification problems on separable convex sets and disjoint sets.
用集合的近似凸性研究函数的拟凸性。
Quasiconvex functions are studied by applying nearly convexity of sets.
用集合的近似凸性研究函数的拟凸性。在较弱假设下，获得了拟凸性的一些等价条件。
Quasiconvex functions are studied by applying nearly convexity of sets. Under weaker assumptions, some equivalent conditions for quasiconvexity are derived.
用集合的近似凸性研究函数的预不变凸性，在较弱的假设下获得了预不变凸性的一些等价条件。
Preconvex functions are studied by applying nearly convexity of sets in this paper. Under weaker assumptions, some equivalent conditions for preconvexity are derived.
借助于这些集合和函数的定义思想，本文定义了E-凸锥、伪拟E -凸函数、E -凸函数方向导数等几种更广义的概念。
In this paper, with the aid of idea of defining those sets and functions, the definitions of E -convex cone, pseudo-quasi- E -convex functions, E -direction derivative are discussed.
利用集合的稠密性和弱近似凸性，进一步刻画函数的预不变凸性。
We research on describing preinvexity of functions in this paper by means of the density and weakly near convexity in the set.
利用集合的稠密性和弱近似凸性，进一步刻画函数的预不变凸性。
We research on describing preinvexity of functions in this paper by means of the density and weakly near convexity in the set.
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