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1)  closed invariant set
闭不变集
1.
When Liapunov function is Lipschitz continuous and regular,Liapunov theorem on finite-time stability with respect to a closed invariant set was presented.
主要研究右端不连续系统在Filippov解意义下关于闭不变集(未必是紧集)的有限时间稳定问题。
2)  θ-invariant closed set
θ-不变闭子集
3)  invariant closed curve
不变闭曲线
1.
We prove that there exist F2-invariant closed curves near elliptic two-period points for Fibonacci map by applying Moser twist theorem.
本文利用 Moser扭转定理证明 Fibonacci映射在椭圆型二周期点附近存在F~2-不变闭曲线。
4)  closed invariant subgroup
闭不变子群
5)  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。
6)  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。
补充资料:不变子集


不变子集
mvariant subset

不变子集汇加粕雌阴亡即肠以;H.即“明.oe邢脚助狱ec-,0],群G的 G的子集H,它包含它的每个元素h在G中的所有共辘元(conj贝势te ekn笠幻t),即所有形为g一’hg的元素.不变子半群(invanani sub一~·group)是一.压忍葱胜到厉价周落玉耳蕊胃.
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