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Furthermore, the existence condition of delay-dependence for the robust H(subscript ∞) filter is also established, and the admissible filter can be found by solving a group of linear matrix inequalities.

推导了系统鲁棒H滤波器存在的充分条件,并将滤波器的设计转化为一组线性矩阵不等式的求解。

The robust CNN template was designed, which provided a group of parameter inequality to satisfy its parametric change interval.

设计细胞神经网络模板参数的鲁棒性定理,该定理提供了一组参数不等式以确定满足该功能的参数变化区间。

By introducing a slack variable, the stabilization problem of discrete T-S fuzzy systems is converted into an LMI feasibility problem, and an LMI based design method for output feedback H(subscript ∞) controller is presented.

通过引入松弛变量,将离散T-S模糊系统的输出反馈镇定问题归结为求解一组线性矩阵不等式,进而给出基于LMI的输出反馈H控制器的设计方法。

According to Shilnikov Theorem, on the condition that satisfies the basic characteristics of heteroclinic orbit, Shilnikov inequality and the eigenvalue equation, by finding a heteroclinic orbit consist of three geometric invariant sets, namely unstable manifold, heteroclinic point, and stable manifold, a set of real parameters accordance with the condition of existing heteroclnic orbit is obtained in this chaotic system.

根据Shilnikov定理,在满足异宿轨道基本特性、Shilnikov不等式和特征方程条件下,通过寻找该系统中一条由不稳定流形、异宿点和稳定流形三个几何不变集构成的异宿轨道,在分段Sprott系统中导出了存在异宿轨道时该系统中各个参数应符合的条件,并找到了一组对应的实参数,由此证明了异宿轨道的存在性。

In the POPF model, wind farm is modeled by the probabilistic wind farm model considering the reactive power-slip characteristic, and the inequality constraints include not only the unit output constraints, the ratio constraints, the voltage constraints and the line current constraints but also the reactive compensation capacity constraints in wind farm and the system climbing capacity constraints per minute. By introducing the NCP function, the KKT conditions of POPF system are transformed equivalently. Based on the transformed nonsmooth nonlinear algebraic equations, the FOSMM is used to determine the POPF model expressed by the numerical characteristic of variables. The model includes nonsmooth functions, so it can be solved by a semismooth Newton-type method based on the subdifferential.

概率最优潮流模型中,风电场采用考虑无功功率—滑加热器差特性的风电概率模型,不等式约束中除了机组出力约束、有载调压变压器变比约束、电压约束和支路电流约束,也考虑了风电场无功补偿容量约束、系统的分钟级爬坡能力约束;使用非线性互补函数将概率最优潮流的KKT条件转化为一组包含有不光滑函数的非线性代数方程组,然后基于一次二阶矩法确定了以待求量的数字特征表示的POPF模型,由于该模型包含不光滑函数,因此采用基于次微分的半光滑牛顿型方加热器法求解。

This kind of decoupling enables us to obtain more easily tractable conditions for analysis and synthesis problems.

推导了系统鲁棒H∞滤波器存在的充分条件,并将滤波器的设计转化为一组线性矩阵不等式的求解。

What is the important aspect about matrix order problem discussing is establishing and certificating theequality of matrix order.

矩阵的秩是矩阵的一个重要的数字特征,建立并证明矩阵秩的等式,是矩阵秩问题讨论的一个重要方面,一般的教材对矩阵秩的性质的证明往往采用极大无关组等方法来证明,但是,一些复杂的矩阵秩的不等式,利用一般的方法很难证明。

And the resilient controllers can be obtained by solving a set of linear matrix inequalities.

控制器的设计可以通过求解一组线性矩阵不等式得到。

The gain matrices of the designed controller can be obtained by solving a set of linear matrix inequalities.

状态反馈控制器增益矩阵可以通过求解一组线性矩阵不等式获得。

With this condition,robust stability verification for the systems can be accomplished by testing the feasibility of a set of linear matrix inequalities.

应用此条件,通过测试一组线性矩阵不等式的可解性即可达到判定系统的鲁棒稳定性的目的。

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