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The current research points out that for the CFCHS joints the linear extrapolation method can be used for chords,whereas the quadratic extrapolation method must be used for braces.The hot spot stress distributions on the CFCHS joints tend to be more uniform and their SCFs become smaller significantly,compared with the CHS joints.Axial tension on the brace puts the CFCHS joints at a disadvantage,which produces higher SCFs than axial compression.The effects of nondimensional geometric parameters β,τ and γ on SCFs of the chords of the CFCHS joints are basically the same as those of the CHS joints,but for the braces,there is a bit difference in the effects of parameters β,τ and γ between the two kinds of joints.Concrete has the function of improving the CFCHS joint rigidity and then decreasing SCFs which is expected to increase fatigue strength,but concrete strength grade does not exert significant influence on SCFs.

研究表明：CFCHS节点的热点应力，对主管可采用线性外推方法，对支管需采用二次外推方法；相比CHS节点，CFCHS节点的热点应力分布趋于均匀，SCF显著减小；CFCHS节点支管轴向受拉比受压不利，SCF增大；CFCHS节点几何参数β，τ，γ对主管SCF的影响效应与CHS节点基本一致，但是对支管SCF的影响效应与CHS节点有些差异；混凝土的作用主要是改善CFCHS节点刚度，从而降低SCF，并预期可提高疲劳强度，但混凝土自身强度等级的高低没有显著影响节点的SCF。

A control strategy based on the linear quadratic form is proposed.

研究了含有参数故障的线性系统，提出了一种基于线性二次型的控制策略。

Linear Fractional Transformation is adopted to translate the control of perturbation to the control of disturbance, then cost index is augmented, and with the min-max method, a robust receding horizon control law is derived. The sufficient conditions for the existence of the control law and closed-loop stability are also presented. The result is extended to time-invariant system with an infinite horizon, and its consistence with the robust control based on the concept of Quadratic Stability is verified.

首先利用线性分式变换，将摄动系统的鲁棒控制问题转化为对扰动系统的鲁棒控制问题；然后通过对性能指标的扩展，利用min-max方法，得到了鲁棒滚动时域控制律，并给出了其存在和使闭环系统渐近稳定的充分条件，并将结果扩展到对定常系统时域无穷的的情况，指出其与现有的基于二次型稳定概念提出的鲁棒控制的一致性。

To reduce the conservatism in the estimation, the Schur complements of the matrixes are applied to transform the problem of selecting a suitable quadratic Lyapunov function into a simple convex optimization problem with linear matrix inequality constraints.

同时为了减少保守性，利用矩阵的Schur补性质，将如何选取该二次型Lyapunov函数的问题转化为标准的LMI凸优化问题。

The optimization problem with linear inequalities can be solved by Quadratic Programming. The simulation results show that the design improves the dynamic performance and suppress torsional vibration causing by rolling perturbation. The model predictive control suppresses rolling perturbation.

仿真结果表明，采用具有约束条件的预测控制策略的控制系统对轧机传动系统的控制效果在动态性能和抑制扭振效果上明显优于传统PI控制，可以较好的抑制轧制扰动对传动系统产生的影响，对解决轧制扰动鲁棒性控制问题是一种有效的解决办法。

Through this study, it is feasible to use the control technology based on mode analysis, both the linear quadratic optimization control and the sliding mode control.

研究结果表明：本文采用的基于模态分析的控制技术，无论是线性二次最优控制还是滑动状态控制是可行的。

The paper shows that a method of PID parameter optimization based on linear quadratic optimal control.

基于二次型最优化理论，对PWM DC-DC变换器PID控制参数进行优化整定和设计。

Grover's algorithm is a quantum algorithm that offers quadratic speedup over the classical linear search for unsorted lists.

Grover的算法是一种量子算法，提供二次提速的经典线性搜索未排序的清单。

They do not enjoy finite termination on quadratic objectives or rapid local convergence.

它对于二次目标的有限终止或快速局部收敛的条件仍不满意。

We construct algorithms in which directions are computed by these two systems and the step-sizes are generated by Armijo line search to solve the original constrained optimization problem and prove that the discrete scheme based on the differential equation system with the second order information has the locally quadratic convergence rate under the local Lipschitz condition.

我们构造了搜索方向由两个微分系统计算，步长采用Armijo线搜索的算法分别求解这个约束最优化问题，在局部Lipschitz条件下基于二阶信息的微分方程系统的迭代方法具有二阶的收敛速度。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。