查询词典 simultaneous invariant

We discussed the positive invariant set,the exsistence and the stability of the equilibrium by the stability theory of ordinary differential equation and the conditions for the global asymptotic stability of the disease-free equilibrium and the endemic equilibrium are obtained.

本文讨论了模型的正不变集，运用微分方程稳定性理论分析了模型平衡点的存在性及稳定性，得出了疾病消除平衡点和地方病平衡点的全局渐进稳定的充分条件。

When predictive state is out of invariant set, using dual mode control structure, the extra variable on the fixed state-feedback law is introduced for feasible input.

当预测状态在不变集之外时，采用双模控制结构，在固定的控制律上引入额外变量保证了输入可行性。

In the following, this dissertation does some research works about the other system—HDS with uncertainties of polytope using the existent methods, and proves that the system is exponential stable with respect to its invariant set under some conditions making use of Lyapunov function.

然后，本文针对另一类具体的混合动态系统——具有多面体不确定性的混合动态系统，沿用已有的稳定性分析方法对其模型进行分析，最终借助Lyapunov函数证明了在一定的条件下系统关于其不变集是指数稳定的。

Then we researched the existence of periodic solution of order one of this modified model by using theories of invariant set of impulsive semi-dynamical system and Brouwer\'s fixed point.

第三章考虑了一类具有非线性传染力函数的传染病模型，其中人口出生率和死亡率相同并且患病者病愈后可自然获得免疫但一段时间后免疫力也会自然丧失。

The proposed method applies the ellipsoid invariant set to the estimated state and state estimation error. The conditions of invariance and feasibility of estimated state, as well as the stability of the closedloop system are given.

该方法采用双模控制策略，将不变椭圆集概念同时应用于观测器的状态方程和误差方程，给出估计状态不变性和控制输入可行性条件并给出了闭环系统的稳定性定理。

For its two special cases: N = 0 and R=0, based on nongradient and gradient methods respectively, neural networks for the two cases are constructed. With the Lyapunov theorem and the LaSalle invariant set principle, the proposed networks are proved to be

推广了R_0性质的定义，并证明无约束优化问题目标函数的水平集的有界性与矩阵对的R_0性质是等价的，最后运用Lyapunov稳定性理论和LaSalle不变原理，严格分析了网络模型的稳定性和收敛性，这些模

We also prove that the first invariant subspace is a proper subset of controllable state set rather than the whole of it.

并证明第一不变子空间只是能控状态集的真子集，而非其全体。

An ecology-epidemic model which takes into account the effective contact rate relying on the total number of persons is proposed and the expression of the threshold value R0 is extracted on the invariant subset.

研究了具有依赖于总人数的有效接触率的生态-传染病模型。建立了一个具有依赖于总人数的有效接触率的模型，在模型的不变子集上先求出阈值R0的表达式。

Under some conditions, we prove that random nonuniformly exponential dichotomy actually imply random uniformly exponential dichotomy. And, using the normal Lyapunov exponents, we also obtain a sufficient condition under which a random compact and invariant subset is a random forward attractor. This is a generalization of the results of Ashwin\'s.

在一定条件下，我们证明了随机非一致指数二分性蕴含着随机一致指数二分性，同时，利用法向Lyapunov指数，我们还给出了一个紧致的随机不(来源：A5cBc765C论文网www.abclunwen.com)变集能成为随机吸引子的一个充分性条件，推广并改进了Ashwin的一些结果。

Last but not least, while happens to be an ordered group, the paper gets the conclu-sion that Ωexists a largest closed θ-invariant proper subset if and only if there exists a smallestsemigroup of G strictly containing G_+.

当是一个序群时，文章得到结论：Ω存在最大θ-不变闭的真子集当且仅当存在一个严格包含G_+的G的最小半群。

Warden: That's a beautiful dog, but don't bring her again.

那是条漂亮的狗，但是不要再把她带来了。

You get up in the morning – no hangover!

你第二天早上起来的时候—不会宿醉！