1) invariant open set
不变开集
1.
If self-similar IFS {φj}mj=1(which satisfies:φj(x)=ρjRjx+bj,bj∈Rd,where 0<ρj<1,and Rj are orthonormal d×d matrices) satisfies finite type condition with respect to the invariant open set Ω.
若自相似迭代函数系{φj}jm=1(满足φj(x)=ρjRjx+bj,bj∈Rd,其中0<ρj<1,Rj为d×d正交矩阵)关于不变开集Ω满足有限型条件,K是迭代函数系{φj}jm=1生成的自相似集。
2) invex set
不变凸集
1.
To improve research on the generalized convex function,some new characteristics of the prequasi-invex function are figured out by means of the cographical set of function(E(f)=(x,α)∶x∈K,α∈R,f(x)αH)and η-invex set,and its two applications in the mathematical programming problem are proposed.
借助于η-不变凸集和函数的上图(E(f)={(x,α)∶x∈K,α∈R,f(x)≤α})得到了预不变拟凸函数的几个新的性质,然后还给出了预不变拟凸函数在数学规划问题中的两个重要应用,从而完善了对此类广义凸函数的研究。
2.
Minty(strong) weak vector variational-like inequality and Stampacchia(strong) weak vector variational-like inequality had the same solution in the case that a matrix-valued function defined on invex set was a continuous invariant pseudomonotone mapping.
讨论两类向量似变分不等式解的关系问题,指出当定义在不变凸集上的映射是不变伪单调连续时,Minty(强)弱向量似变分不等式的解和Stampacchia(强)弱向量似变分不等式的解相同。
3.
To improve research on the generalized convex function,some new characteristics of the prequasi-invex function are figured out by means of the cographical set of function(E(f)={(x,α):x∈K,α∈R,f(x)≤α})and-invex set,and its two applications in the mathematical programming problem are proposed.
首先给出例子说明了此类广义凸函数的存在性,然后利用强η-不变凸集和函数的上图(E(f)={(x,α):x∈K,α∈R,f(x)≤α})得到了强预不变凸函数的几个重要性质,并用另一方法给出它的一个判别定理的简化证明,最后还给出了强预不变凸函数在数学规划问题中的一个重要应用,从而完善了对此类广义凸函数的研究。
3) invariant sets
不变集合
1.
The scheme also makes use of logic rules and invariant sets,the decentralized control laws which respect the rules are guaranteed feasibility and free-collision formation.
使用不变集合方法和强制协同的逻辑规则保证了在飞行中UAV之间的碰撞避免。
2.
By using potential well family method,we study the invariant sets and vacuum isolating behaviour of solutions to a class of nonlinear wave equations.
应用位势井族方法,研究了一类非线性波动方程的不变集合与解的真空隔离,证明了当初始能量小于位势井深度时,此问题存在不变集合与解的真空隔离现象。
4) invariant set
不变集
1.
The Hansdorff dimension of the invariant set determined by the nonlinear contraction map;
非线性压缩生成的不变集的Hausdorff维数
2.
On quadratic system in plane with invariant set;
具不变集的平面二次系统
5) Invariant sets
不变集
1.
Invariance principle and state feedback stabilization of invariant sets of switched systems;
切换系统的不变性原理与不变集的状态反馈镇定
2.
Output feedback stabilization of invariant sets for switched systems
切换系统不变集的输出反馈镇定
3.
In this paper it is proved that the invariant sets of the expansive flows with the shadowing property show the continuity with perturbation and the weakly invariant sets of C 0 flows have the generic property of continuous change with perturbation.
证明紧致流形上具有跟踪性的可扩流的不变集随扰动的连续性及 C0 流的弱不变集随扰动而连续变化的通有
6) positive invariant set
正不变集
1.
A sufficient condition of the existence of a positive invariant set in the differential equation on Banach space is given,which improves a theorem of Mitio Nagumo.
给出了 Ｂａｎａｃｈ 空间上的微分方程存在正不变集的一个充分条件，从而改进了南云道夫的定
2.
In this paper,the problem of global dynamics of second order Hopfield neural networks with time delays was investigated based on the relation between the positive invariant set,attracting set and the system stability,and on the properties of nonnegative matrices and the techniques of differential inequalities.
通过正不变集、吸引集与系统稳定性的关系,并利用非负矩阵的性质和微分不等式的技巧,对具有时滞的二阶Hopfield神经网络全局动力性进行研究。
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