The state feedback controller can be obtained by solving an lmi . furthermore , the way to design the state feedback controller is studied for a class discrete system with nonlinear coupled perturbations of system inputs and system states 进而讨论了具有非线性耦合扰动(系统输入与系统状态之间的耦合扰动)的离散系统反馈控制器的设计方法，给出了该类系统状态反馈控制存在的充分条件。
On the basis of saltzman ' s model , we add in aerosol parameter , and modify the cloud feedback mechanism , then set up a sea - ice , ocean temperature nonlinear coupled climatic model which involving aerosol , co2 and cloud parameters 在saltzman模式的基础上引入了气溶胶参数化方案，并对原模式中的云反馈机制进行了修正，从而建立了一个含气溶胶、 co _ 2和云参数的海冰?海温非线性耦合气候模式，提高了模式阶次。
The general nonlinear propagation equations of four - lightwaves in birefringent fibers are deduced . the characteristics of polarization mode dispersion in 4 + 10gb / sdwdm system in dispersion - flattened fibers is studied . our results show that pmd exerts a detrimental influence on 4 x logb / sdwdm system in limiting transmission rate and the channel numbers 本论文研究波分复用( wdm )系统中偏振模色散的影响，主要工作包括下面两个部分：一、导出了四波长光波在双折射光纤中传输所满足的一般非线性耦合方程；在此基础上，研究色散平坦光纤中4 10gb sdwdm系统的偏振模色散特性，并且进一步研究了偏振模色散对不同信道间隔的4 10gb sdwdm系统的影响。
In two - component model of hydrogen - bonded chains , the system with nonlinear and linear coupling between proton sublattice and heavy - ion sublattice is investigated . fast - mode soliton pair and slow - mode soliton pair are obtained . as for fast - mode soliton the effective mass of the kink in the proton sublattice decreases due to the nonlinear coupling and increases due to the linear coupling . for slow - mode soliton , the thing is quite opposite to that of fast - mode soliton 在氢键链二分量模型中，研究质子子晶格和重离子子晶格相互作用项中同时含有非线性耦合和线性耦合两部分的系统，得到快模孤子偶和慢模孤子偶.对于慢模孤子而言，非线性耦合降低了质子子晶格中孤子的有效质量，而线性耦合增加了质子子晶格中孤子的有效质量；对于快模孤子而言，情况正好相反
In this paper , the evolution equations of the parameters of the optical soliton pulses were derived by means of variational method , in order to investigate the influence of the fifth - order nonlinear effect on the transmission properties of optical soliton in the coupling fiber , and the effects of the fifth - order nonlinearity were discussed on amplitude , frequency band width , chirp , frequency , center position and phase 摘要运用变分法导出五阶非线性作用下孤子的参数演化方程组，研究五阶非线性耦合光纤中孤子的传输特性，讨论五阶非线性效应对孤子的振幅，频宽，啁啾，频率，中心位置及相位的影响。
The present paper intends to construct a systematic approach to search a type of particular exact solutions to nonlinear wave equations by utilizing the theory of mathematics mechanization proposed by famous mathematician wu wentsun . by the approach , two classes of important nonlinear coupled scalar field equations arising in the field of nonlinear physics are studied systematically and a batch of exact solutions containing steady and diverging solitary wave solutions and periodic ones are obtained , which are helpful in clarifying the movement of matter under the nonlinear interactiveties and play an important role in sicentifically explaining of the corresponding physical phenomenon 本文将我国著名数学家吴文俊的数学机械化思想应用于非线性物理领域，给出了构造非线性波方程组一类特殊精确解的一种统一算法，利用这种算法系统地研究了出现于非线性物理领域中的两类重要的非线性耦合标量场方程组，获得了这些方程组一批精确解(包括稳定和发散形式的孤立波解以及周期解) 。
First , according to the orthonormal quality and the rational choice of working point of the sonar array three shafts frame , the structure of the models is predigested preliminarily ; secondly , according to the quality indexes and the coupling quality between frames , relatively small quantum is neglected . so the complex non - linear coupling models of the sonar array are predigested farther ; lastly , considering the characteristic of the model coefficient matrix , the methods of the low rank polynomial approach and the error simulation are introduced . so the models are predigested again 首先从声纳基阵框架结构的正交性和工作点的合理选择出发，使模型的结构得以简化；其次根据系统性能指标及框架间耦合性强弱，忽略相对小量，对声纳基阵复杂的非线性耦合模型进一步简化；最后考虑模型系数矩阵的特点，运用低阶多项式逼近和误差仿真的方法，实现了对模型的再次降阶简化处理。
Then , the robust stability is studied for a class of multi - delay discrete systems with nonlinear coupled perturbations of current state and past states . the sufficient stability conditions are proposed in the form of lmi , and the design procedure of state feedback controller is given based on these stability conditions 然后，研究了一类具有多时滞非线性耦合扰动的离散不确定系统的鲁棒稳定性问题，以线性矩阵不等式的形式给出了该类系统闭环鲁棒稳定充分条件，并由此推导得出了多时滞非线性耦合扰动离散系统鲁棒反馈控制器的设计方法。
The relations between s & t and economies are not just simple linear relations , but sophisticated non - linear coupler relations it is not definite that advanced technology can inevitably promote the economic and social development , of economic increase can inevitably promote rapid development of s & t 科技进步和经济发展之间并不是有了先进的科学技术、经济社会就会自然而然地得到发展，也不是经济增长了，科学技术就一定能快速发展。科技与经济之间并不是简单的线性关系，而是复杂的非线性耦合关系。
The dewater calculation result of the south anchor of runyang yangtze river highway bridge ' s shows that the double deck structure model provide a new method to the non linear coupling calculation of deep foundation pit dewater and settlement , forecast and control the distortion of the soil in the pit , engineering construction and design 润扬长江公路大桥南锚基坑工程降水计算表明，双层结构模型为深基坑降水与沉降的非线性耦合计算，基坑土体变形预测、控制，工程施工和设计提供了新的计算分析途经。
