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Study of dynamical characteristics: The dynamics of DRNN network is studied through a matrix inequality, which is shown to be equivalent to the state transition equation of the network.

利用DRNN网络的状态转移方程与矩阵不等式的等价性,研究网络的动力学性质。

In inequality in the equivalent transformation process requires a lot of mathematical ideas, discuss issues such as classification, the overall for-yuan,数形结合, transformation and so on as appropriate to the infiltration of these thinking, to improve the mathematical abilities of students have great help.

不等式的等价转化过程中需要用到诸多的数学思想,如分类讨论问题、整体换元、数形结合、转化化归等等适当地渗透这些思想方法,对提高学生的数学能力有极大的帮助。

For a general system, our Lyapunov function-based method can give a low conservative estimation for the region of attraction, moreover, a much more large region of attraction by using Matlab/LMI optimization.

对一般系统,我们用基于Lyapunov函数的方法给出保守性尽量低的吸引域的估计算法,再配合基于Matlab线性矩阵不等式优化方法去综合控制器,以便得到尽量大的吸引域。

The stability region estimation of the singularly perturbed systems can be replaced by that of the adjoint systems, and an optimization method based on linear matrix inequality was provided to reduce the conservativeness in the estimation.

将原系统稳定域估计问题转化为低阶伴随系统稳定域的估计问题,利用线性矩阵不等式(Linear matrix inequality, LMI)优化方法估计伴随系统的稳定域以减少保守性。

Under some excess convex assumptions on the boundary, we get a Hardy type inequality similar to that in Euclidean space.

进一步对区域作某种凸性假设后,得到了与Euclid空间中形式非常接近的Hardy型不等式

Chao-Ping Chen, Run-Qing Cui and Feng Qi, An inequality for Euler's constant , Shuxue de Shijian yu Renshi (Mathematics in Practice and Theory) 35 (2005), no.

陈超平,崔润卿,祁锋,关于Euler常数的一个不等式,数学的实践与认识 35 (2005), no。

Based on Lyapunov stability theory, existence conditions of such observers are derived.

基于Lyapunov稳定性理论给出了相应观测器的存在条件,并将观测器的设计问题转化为线性矩阵不等式的求解问题。

Furthermore, by exploiting existence theorem, algorithms for SNVI are constructed and the convergence of the algorithm is discussed.

最后,我们讨论了Banach空间中混合非线性变分不等式系统的数值算法。

In the paper, Existence theorem for generalized variational inequalities is established in locally FC-spaces space and its applications are presented.

文章提供关于局部FC-空间上的广义变分不等式的存在性定理,并给出它的一些应用。

Finally, the perturbation problems for the mixed variational-like inequalities problems are discussed, and the existence and uniqueness theorem of the solutions for the perturbation problems is also proved.

最后,讨论了混合似变分不等式问题的扰动问题,并证明了扰动问题的解的存在唯一性定理。

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