Lipschitz condition

The mainly work of this paper is extending the 1-bit dynamic quantization policy from the Global Lipschitz condition into the Locally Lipschitz condition .

本文的研究则是将全局利普希茨条件下的1-bit动态量化算法推广至局部利普希茨条件下。

Robust Capability of Disturbance Rejection for Nonlinear Systems Satisfying Lipschitz Condition

Lipschitz非线性系统的鲁棒干扰抑制能力

Existence and approximation problems of solutions to a class of variational inclusions with Lipschitz condition

一类具有Lipschitz条件的增生型变分包含解的存在性与逼近性问题

The Estimate of the Hausdorff Dimension of Self-similar Measure Under Double Lipschitz Condition

双Lipschitz条件下自相似测度的维数估计

This type of systems are of constant rank Frechet derivatives which satisfy Lipschitz condition .

这类非线性方程组具有常秩的Frechet导数且其导数满足Lipschitz条件。

Fully Coupled Forward-Backward Stochastic Differential Equations with Brownian Motion and Poisson Processes under Local Lipschitz Condition

局部Lipschitz条件下的布朗运动和泊松过程混合驱动的正倒向随机微分方程

Nonlinear Doob-Meyer Decomposition for g-supermartingales without Lipschitz Condition on g

非Lipschitz条件下g-上鞅的非线性Doob-Meyer分解

Uniformly Derivability of Function and Lipschitz Condition

函数的均匀可导性与Lipschitz条件

This paper deals with the stability of implicit Euler methods for Volterra Integral delay equations , which is based on the non classical Lipschitz condition .

本文涉及隐式Euler法应用于非线性Volterra型延迟积分方程的稳定性，其探讨基于非经典Lipschitz条件。

For a class of neutral stochastic systems , under both the local Lipschitz condition and the nonlinear growth condition , we show that the solution is global and unique .

对于中立型随机微分系统，首先在局部Lipschtz条件，压缩性条件和非线性增长条件下考虑了整体解的存在唯一性。

By using the Euler-Maruyama method , we define the numerical solutions , and show that the numerical solutions converge to the true solutions under the local Lipschitz condition .

这里先定义了方程的Euler-Maruyama数值解，并在局部Lipschitz条件下证明了所定义的数值解收敛于方程的真实解。

In Lipschitz condition of the signal transmission functions , the uniqueness of the equilibrium for MAM is proved respectively by using M matrix properties and using homeomorphous map .

在信号传递函数满足李普希兹条件下，分别利用M矩阵性质及同胚映射证明了平衡点的唯一性。

The nonlinear term satisfies Lipschitz condition , and the uncertainty does not satisfy the so called matching condition . The asymptotically robust observer is designed under arbitrary switching law .

系统具有满足Lipschitz条件的非线性项，不确定项不满足匹配条件，设计出了该系统在任意切换策略下的鲁棒渐近状态观测器。

Secondly , under the assumption of the generator satisfied stochastic Lipschitz condition , we also obtained a existence and uniqueness result by constructing contraction mapping based on some priori inequality estimates .

其次，在假设生成元满足随机Lipschitz条件下，利用方程的解的不等式估计性质，构造压缩映射证明了这类方程解的存在性与唯一性。

Lipschitz condition which is satisfied by the second Fr é chet derivative of operator is discussed , so as to make it possible to weaken convergence conditions for Newton iteration .

对算子F的二次导数满足的Lipschitz条件进行了讨论，以使Newton迭代的收敛条件能减弱。

This condition make it easier to judge the stability of the exact discrete-time model with the closed-loop Euler approximation , which just requires the closed-loop vector filed of the system to meet the Lipschitz condition .

这一条件使依据闭环Euler近似模型判定闭环精确离散时间模型稳定变得简单。而为保证这一条件成立仅需系统闭环向量场满足Lipschitz条件。

An uniform Lipschitz condition in Fr é chet space is introduced . By using the condition , the existence and extension of the solutions for the initial value problems in Fr é chet space are discussed .

在Fréchet空间中引入了一致Lipschitz条件，并利用此条件讨论了Fréchet空间中初值问题解的存在性和解的延拓问题。

When the right hand functional of equation satisfies local Lipschitz condition , the existence of asymptotic almost periodic solution is proved , and an easily applied criterion for the existence and uniqueness of almost periodic solution is obtained .

当方程右端泛函满足局部Lipschitz条件时，证明了方程渐近概周期解的存在性，得到了便于应用的概周期解的存在性、唯一性判据和相应的模包含关系。

The existence of solutions and convergence problem of Ishikawa and Mann iterative procedures with mixed errors for a class of accretive type variational inclusions with Lipschitz condition in real reflexive Banach spaces were studied .

在自反Banach空间中，研究了一类具有Lipschitz条件的增生型变分包含解的存在性以及具有混合误差项的Ishikawa和Mann迭代程序的收敛性问题。

We put the link robot system model as research object , in which the nonlinear term of the one meet with Lipschitz condition . We use adaptive observer methods to diagnosis fault which is step function fault types , and stability is analyzed .

以非线性项满足Lipschitz条件的单连杆机器人系统为研究对象，采用自适应观测器方法对故障类型为阶跃函数类型的故障进行故障诊断，并进行稳定性分析。

Under the assumption that the nonlinear time-delay functions of systems satisfy Lipschitz condition , globally asymptotical tracking of the given reference signal is achieved and the bound of all signals of the resulted closed-loop system is also guaranteed .

在系统非线性函数满足Lipschitz条件的假设下，实现对给定参考信号的全局渐近跟踪，并保证了闭环系统所有信号一致有界。

This paper considered nonlinear perturbations of nonlinear m-accretive operators in general Banach space . Three perturbation theorems are obtained . The above three theorems are discussed under assumption satisfying Lipschitz condition , compact condition and continuous condition respectively .

本文在一般Banach空间考虑了非线性m&增生算子的非线性扰动，得到了三个扰动定理，这三个定理分别是在满足Lipschitz条件、紧性条件和连续性条件的假设下讨论的。

Nonlinear item on lots of well-known chaotic system such as Lorenz system , Chen system , Lu system and Rossler system is not satisfied with Lipschitz condition strictly , we described these uncertainties by a simple norm polynomial inequality .

很多混沌系统，诸如Lorenz系统，Chen系统，Lu系统和Rossler系统它们的非线性项都不满足Lipschitz条件，然而本文用一个简单的范数多项式不等式对它们的不确定性进行了描述。

The requirement on the nonlinear time-delay functions ( such as global Lipschitz condition ) is relaxed . The global asymptotical tracking of given trajectories is achieved and the boundedness of all signals of the resulted closed-loop system is also guaranteed .

放松了对非线性时滞函数的要求（例如全局Lipschitz条件），实现了对给定目标轨线的全局渐近跟踪，保证了闭环系统所有信号全局一致有界。

The Lipschitz type condition , the monotonicity condition and the homogeneous condition of the operator A and the controlled growth condition of the operator B are derived .

算子A的Lipschitz型条件，单调性条件和齐次性条件以及算子B的控制增长条件被得到。

This paper deals with the extremum principle for very weak solutions of A - harmonic equation , where the operator A satisfies the monotonicity inequality , the Lipschitz type condition and the homogeneity condition .

本文考虑A-调和方程很弱解的极值原理，其中算子A满足单调不等式、Lipschitz型条件和齐次性条件。