quadratically造句

• It is well-known that when solving a system of nonlinear equations, the damped newton method is globally and superlinearly / quadratically convergent
  求解非线性方程组的阻尼newton法不仅具有快速收敛的特点，而且有全局收敛性。
• We show that the hybrid method is globally and superlinearly convergent for nonzero residual problems and globally and quadratically for zero resi dual problems
  因此，该杂交方法对于零残量问题是二阶收敛的，而对于非零残量问题是超线性收敛的。
• According to the restricted system equivalence of singular systems and their structural characteristics, an allowed impulsive control is provided to ensure the consistent state and make the system to be quadratically stable
  同时根据广义系统受限等价性质及其结构特性，构造允许的脉冲控制确保系统状态是允许的。
• We show that the proposed method is globally and superlinearly / quadratically convergent for solving smooth nonlinear equations . we also extend the technique to a newton method for solving a nonsmooth equation reformulation of the nonlinear complementarity problem
  此外，本文将该思想与光滑化newton法相结合，得到求解非线性互补问题的一个新算法，将自然水平函数的应用推广到更为广阔的领域。
• The design of dgwfs and the quadratically distorted diffraction gratings is introduced firstly in chapter 1 . secondly, based on the prevenient algorithms, the phase retrieval for the novel dgwcs is discussed by comparison, also more analysis is made by examples in chapter 2
  第二章在总结、研究和改进前人理论方法的基础上,总结了适合光栅型波前曲率传感器相位恢复的三种算法,并作了详细的理论推导、分析和举例说明,完善了光栅波前曲率传感器的相位恢复理论。
• Secondly, the reliable hx control problem of uncertain nonlinear systems with strictly redundant control elements is studied in detail . based on hji . the reliable state feedback controller and output feedback controller are presented . by considering a class of nonlinear time-varying uncertain systems with time-delay and unknown nonlinear disturbances, the linear memoryless dynamic output feedback controller based on a state observer is designed such that, for all admissible uncerntainties as well as actuator failures occurring among a prescribed subset of actuators, the closed-loop system is quadratically stable with an ha norm bound constraint
  考虑到时间延迟问题广泛存在于实际系统中，因此，针对一类时滞不确定非线性系统，考虑系统的状态是不可测或者是不完全可测的，设计了基于状态观测器的线性无记忆观测状态反馈控制器，使得故障闭环系统对于任何容许的不确定性和给定执行器集合中任意执行器失效是二次稳定的且对于系统扰动h_范数有界。
• The main contents of this paper are outlined as follows, 1 for time delay systems with norm-bounded uncertainties, a sufficient and necessary delay independent robust quadratically stabilizable condition, the corresponding robust stabilizing controller designing method by state feedback, a sufficient delay-dependent robust stabilizable condition and state feedback controller designing method are given in terms of linear matrix inequalities
  主要研究内容包括1、研究一类同时存在状态和控制滞后的不确定时滞系统的状态反馈鲁棒镇定问题。给出了一个系统鲁棒二次可镇定的充分必要条件，以及系统时滞依赖鲁棒可镇定的充分条件及相应的状态反馈鲁棒镇定控制器设计方法，结果以线性矩阵不等式的形式给出。
• Based on general continuous 2-d systems model and rosser model which is widely used in discrete 2-d systems, a unified interval 2-d systems model is proposed . considering this unified model, sufficient and necessary quadratically stable and stabilizable conditions are given in terms of linear matrix inequalities . quadratically stabilizing controller designing method is also proposed
  根据通用的连续2-d系统的状态方程模型和离散2-d系统研究中广泛使用的roesser模型，提出了基于广义微分算子的统一形式的区间2-d系统模型，在此模型基础上，给出了用以判定统一形式的区间2-d系统是否二次稳定和二次可镇定的判定定理，以及相应的二次镇定控制律的设计方法。
• Based on general continuous 2-d systems model and rosser model which is widely used in discrete 2-d systems, a unified interval 2-d systems model is proposed . considering this unified model, sufficient and necessary quadratically stable and stabilizable conditions are given in terms of linear matrix inequalities . quadratically stabilizing controller designing method is also proposed
  根据通用的连续2-d系统的状态方程模型和离散2-d系统研究中广泛使用的roesser模型，提出了基于广义微分算子的统一形式的区间2-d系统模型，在此模型基础上，给出了用以判定统一形式的区间2-d系统是否二次稳定和二次可镇定的判定定理，以及相应的二次镇定控制律的设计方法。
• For discrete interval 2-d systems, based on definitions of quadratic stability and quadratic stabilizability, sufficient and necessary quadratically stable and stabilizable conditions are given in terms of linear matrix inequalities . quadratically stabilizing controller designing method is also proposed in this paper . the illustrative examples show the results are effective and less conservative
  针对离散区间2-d系统，给出了二次稳定和二次可镇定的定义，在此基础上，提出了用以判定离散区间2-d系统是否二次稳定和二次可镇定的判定定理，以及二次镇定控制律的设计方法。
• For discrete interval 2-d systems, based on definitions of quadratic stability and quadratic stabilizability, sufficient and necessary quadratically stable and stabilizable conditions are given in terms of linear matrix inequalities . quadratically stabilizing controller designing method is also proposed in this paper . the illustrative examples show the results are effective and less conservative
  针对离散区间2-d系统，给出了二次稳定和二次可镇定的定义，在此基础上，提出了用以判定离散区间2-d系统是否二次稳定和二次可镇定的判定定理，以及二次镇定控制律的设计方法。
• By means of linear matrix inequalities, a sufficient con dition is given for uncertain discrete singular system to be generalized quadratically stable and strictly passive, based on which, a sufficient condition is given for the existence of a state feedback controller, such that the resulting closed-loop system is both generalized quadratically stable and strictly passive for all the admissible uncertainties, all conclusions carry with them corresponding examples to prove the effectiveness, and the corresponding controllers are also presented
  利用线性矩阵不等式，给出不确定离散广义系统广义二次稳定且严格无源的充分条件，并在此基础上给出存在状态反馈控制器，使得闭环系统广义二次稳定且严格无源的充分条件。每一节均给出数值算例来说明结论的有效性，同时给出相应的控制器构造。
• By means of linear matrix inequalities, a sufficient con dition is given for uncertain discrete singular system to be generalized quadratically stable and strictly passive, based on which, a sufficient condition is given for the existence of a state feedback controller, such that the resulting closed-loop system is both generalized quadratically stable and strictly passive for all the admissible uncertainties, all conclusions carry with them corresponding examples to prove the effectiveness, and the corresponding controllers are also presented
  利用线性矩阵不等式，给出不确定离散广义系统广义二次稳定且严格无源的充分条件，并在此基础上给出存在状态反馈控制器，使得闭环系统广义二次稳定且严格无源的充分条件。每一节均给出数值算例来说明结论的有效性，同时给出相应的控制器构造。
• The property shows that the maximal solution is well-conditioned . two new iteration methods for finding the maximal solution are proposed . of these two methods, one is a linearly convergent iteration without matrix inversion, and one is related to newton s method and quadratically convergent
  这2种方法，一种是线性收敛的，其优点是迭代过程不需要求矩阵的逆另一种是二次收敛的，数值试验的结果表明该方法在计算速度和精度方面都明显地优于现有的其他几种迭代方法。