对非线性确定性系统，利用稳定性的线性等价原理，提出了这一类非线性系统的稳定性判据；
As to nonlinear determined system, a criterion was presented in light of the linear equivalent stability principle;
如果把这两个看做等价的，实际上，就是用函数的线性近似式来代替原函数。
And, if we set these things equal, what we get is actually, we are replacing the function by its linear approximation.
本文用随机等价线性化方法探讨了相邻结构之间用粘弹性阻尼器连接后的非线性随机地震反应。
Nonlinear stochastic response analysis of viscoelastic damper-connected adjacent multi-story buildings under earthquake excitation is performed in this paper using the equivalent linearization method.
基于等价类的划分、线性方程组的求解和标准基之对偶基的计算，提出了域元素分量代数表达式的三种求法。
Based on the partition of equivalent classes, the resolving of a linear system of equations and the calculation of the dual basis of the standard basis, three methodologies are presented.
讨论了线性拓扑空间上广义凸函数中的拟凸与伪凸之间的关系，并给出它们之间的一些等价条件。
This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence.
本文运用旋转变换法，经有限次变换后，将普通线性规划（LP）问题，化为一个等价的易于求解的连续背包问题。
A rotation transformation method is to be used in changing an ordinary linear programming (LP)problem into an equivalent easily-solved continuous knapsack one after a finite iteration.
使用等价控制方法构成双线性变结构控制系统的滑动模态方程。
Equations of sliding mode for bilinear variable structure control system are structured by employing method of equivalent control.
本文证明了赋范线性空间中有界齐性算子与在零点连续的齐性算子等价。
In this paper, the equivalent relation of boundedness and continuity at zero for homogeneous operator in normal linear space is proved.
从稳定电流场基本方程出发，通过定义线性微分算子，推导出与之等价的泛函方程。
According to the fundamental equation of steady current field, the corresponding functional equation is obtained by use of the linear differential operator.
附录1讨论了线性阻尼系统可对角化条件的几种等价形式。
In Appendix 1, a thorough discussion on the decoupling condition of linear damped systems is given.
本文的第二部分首先给出了射影系统的概念并且描述了线性码和射影系统之间的等价性，因而我们就可以用几何语言给出线性码一个新的描述。
In the first, the projective system was given in section two, and the equivalence between linear codes and projective was proofed. So we can use geometric language to describe linear codes.
本文以两个自变量的拟线性双曲型方程的古尔沙问题为例，应用反函数和积分不等式证明了等价积分方程组解的存在唯一性，同时给出了解的存在区域和已知参量的依赖关系。
In this paper, we show the domain of the existence of the solution on Goursat problem for quasi—linear hyperbolic equation and obtain the Theorem of the existence and uniqueness in above domain.
针对非线性的电液伺服系统，提出一种利用基于输入等价干扰的通用模型控制算法(ICMC)来设计控制器新策略。
A new scheme of using common model control based on input equivalent disturbance (ICMC) to design controller was presented for nonlinear electro-hydraulic servo control systems.
通过将问题化为非线性算子方程，推导出算子的形式导数，给出了线性化问题解的等价表达。
By reducing the MREIT problem to a nonlinear operator equation, the formal derivative of the operator and the formula of solution for linearization problem are given.
利用向量组线性相关性的基本判别定理1和2，给出了判别两个向量组等价及其线性相关性的推论1和2及应用举例。
In this paper, two inferences and their applied examples about the equivalence and the linearly dependent of two vector groups by using its discriminating theorem 1, 2 are presented.
从负常曲率曲面导出了两个非线性演化方程，并给出了这些方程的解之间的等价变换。
Two non—linear evolution equations are derived from the surfaces of negative constant Curvature, and equivalent transformations among solutions of these equations are given.
接着对矩阵代数m_3 (C)的子代数上的2 -上循环进行了等价刻画，得到了其上的双线性映射是2 -上循环的充要条件。
Subsequently, we character and study the 2-cocycles on a subalgebra of the algebra M3 (c) and obtain the necessary and sufficient conditions that a bilinear mapping is a 2-cocycle on this algebra.
采用线性矩阵不等式和多凸性处理方法，证明了该问题等价于线性矩阵不等式的可解性问题。
In terms of multiconvexity and linear matrix inequality, this problem is proved to be equivalent to an LMI feasible problem.
再利用函数展开将模型的非线性传递函数转换为等价的线性中间模型，并通过SVR求取中间模型参数。
Then, by the function expansion, the nonlinear transfer function of this model was converted to intermediate model which is linear one and can be identified using support vector regression (SVR).
应用该公式可以求出线性和等价线性化的非线性振动系统的精确稳态均值和均方响应。
By using of this formula, the accurate mean and mean square responses of a linear or an equivalent linearized nonlinear vibration problem can be obtained.
把高维线性互补问题转化为与之等价的高维二次规划问题，然后把高维二次规划问题分解为一系列低维二次规划问题。
The higher dimensional linear complementary problem is transformed into quadratic (programming), and then decomposed into a series of lower dimensional quadratic programming.
本文还提出了非线性多自由度系统在非平稳随机激励和确定性外力的共同作用下，响应分析的等价线性化方法。
An equivalent linearization method is proposed to the case of the nonlinear multi-degree-of-freedom systems with combined excitations of nonstationary processes and deterministic forces.
该模型以极限状态设计方法为基础，采用机遇约束规划方法变换为一个等价确定性非线性规划问题。
This model is based on the limit state design philosophy. This paper adopts the chance constraint programming method and changes the model into an equal deterministic nonlinear design problem.
基于未知输入观测器设计和等价控制的概念，讨论了一类非线性系统传感器故障的鲁棒故障诊断问题。
Based on the unknown input observers and the concept of equivalent control, this paper considers the problem of robust fault diagnosis of sensor faults in a class of nonlinear systems.
加权等价线性化方法是研究非线性随机振动的一种有效近似方法。
The weighted equivalent linearization technique is an effective approximation for nonlinear random vibration analysis.
首次将二次稳定性问题等价地转化为约束非线性规划问题。
The problem is firstly transformed into an equivalent constraint nonlinear programming problem.
本文讨论了随机等价线性化方法(esl)作为一种对考虑力学参数随机性的非线性滞回结构进行可靠性分析的工具具有的灵活性。
This paper investigates the flexibility of the equivalent stochastic linearization (ESL) method as a tool for reliability analyses of nonlinear hysteretic structures with random mechanical properties.
本文讨论了随机等价线性化方法(esl)作为一种对考虑力学参数随机性的非线性滞回结构进行可靠性分析的工具具有的灵活性。
This paper investigates the flexibility of the equivalent stochastic linearization (ESL) method as a tool for reliability analyses of nonlinear hysteretic structures with random mechanical properties.
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