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In the last chapter,we study the control problems of the distributedparameter system governed by a class of higher order pseudohyperbolicequation related to the symmetric regularized long wave equation.we havediscussed the controllability and optimal control problems.we have obtainedcompatibility condition of the constraint when the state is controllable,therepresentation of the optimal control for both the time optimal control problemand the optimal control problem of minimum energy type,and the equationsatisfied by the minimum time.we have shown that the optimal control belongsto the boundary of the admissible control set.

在第六章中，我们研究了与对称正则长波方程相关的一类高阶拟双曲型方程支配的分布参数系统的控制问题。讨论了系统的状态能控性问题和最优控制问题，给出了状态能控时的约束相容性条件，给出了最速控制问题、最小能量型最优控制问题的最优控制表达式和最速时间所满足的方程式，证明了最优控制属于控制集合的边界。

Hence we first propose a globally optimized random search algorithm and prove its asymptotic global convergence; then to improve its convergence velocity and reduce implementation complexity, we propose a practical sub-optimal random search algorithm and analyze its implementation complexity.

为此本文首先给出了一种用于OFDM符号估计的全局最优随机搜索方法，并证明了其渐进全局收敛特性；同时为了改进全局最优的随机搜索算法的收敛速度和实现复杂度，提出了一种可实现的次优的随机搜索算法，并结合实现分析了所提的次优随机算法的计算复杂度。

Then the stationary joint probability density, the conditional reliability function, the mean first-passage time of the optimally controlled system are obtained from solving the reduced FPK equation, the backward Kolmogorov equation and the Pontryagin equation, respectively of fully averaged systems.

求解与之相应的Fokker-Planck-Kolmogorov方程得最优控制系统的联合概率密度，进而求得最优控制系统的平均幅值；求解与之相应的后向Kolmogorov方程得最优控制系统的条件可靠性函数，进而求得首次穿越时间的条件概率密度；求解与之相应的Pontryagin方程得最优控制系统的平均首次穿越时间。

It is pointed out that optimal solution of linear programming can be represented as a sum of a convex combination of the optimal extreme point s and a nonnegatively linear combination of the optimal extreme directions.

本文指出了线性规划的最优解可表示为最优极点的凸组合和最优极方向的非负线性组合之和，确定了最优极方向存在的条件。

Multiobjective optimization problem has a wide range of applications in the real world. It is different from the single objective optimization. It often involves incommensurable and competing objectives, and the number of its Pareto optimal solutions is usually infinite. Therefore, it is very important to design new algorithms which can find well distributed and close-to-Pareto-optimal solutions.

在现实世界中很多问题都是多目标优化问题，不同于单目标优化，在多目标优化中，各目标之间是互相冲突的，其最优解往往有无穷多个，如何使得到的Pareto最优曲面距离真正的Pareto最优曲面最近、最优解的分布均匀且范围更广是求解多目标优化问题的关键。

In our thesis, contents are organized as following In Chapter 1 we present our topic's internal and overseas research situations, theoretical and practical significance, and introduce the research object and contents, and the main contributions of this dissertation. Chapter 2 reviews the development of the stability results for nonlinear systems and some relevant recent results, which include Lyapunov and LaSalle-Yoshizawa theorems for nonlinear systems, and stochastic edition for stochastic nonlinear systems. Sontag's formula for systems affine in control is presented in the frame of CLF. The concepts of disturbance attenuation and the inverse optimality are also explained in this Chapter. In chapter 3 we present the solvable theorem of inverse optimal gain assignment problem, design the inverse optimal controller and the inverse optimal tracking controller for strict-feedback nonlinear continuous systems with unknown time-varing bounded disturbances and constant unknown parameters using an adaptive backstepping algorithm, which are nonlinear, continuous and are easier to realize. These designs are fully systematic and the algorithm can be directly coded in symbolic software. The results of simulation show the effectiveness of the control algorithms.

论文的结构如下：在第1章中，给出了本文研究课题的研究现状、理论意义和实际应用，并介绍了本文的研究对象、研究内容以及主要贡献；在第2章中，针对确定性非线性系统和随机非线性系统，分别介绍了Lyapunov定理、LaSalle-Yoshizawa定理及其随机版本；对仿射系统，在控制Lyapunov函数框架下，给出了Sontag公式；同时给出了非线性系统扰动抑制和逆最优控制问题的基本概念；在第3章中，针对具有未知时变有界扰动和未知定常参数的一类不确定非线性系统，给出并证明了逆最优增益配置可解定理，使用自适应Backstepping算法和均值定理，系统地设计了自适应逆最优控制器和逆最优跟踪器，这种设计方法可同时获得逆最优控制策略和自适应律，简单明了，仿真结果表明该控制算法的有效性，并给出了性能估计。

The degree and direction of rotation greatly affect the students' performance ; the passing rate of 90 degree items is better than that of 180 degree items , the passing rate of 180 degree items is better than that of 360 degree items, and the passing rate of right-rotation items is better than that of left-rotation items. Furthermore, handedness also affects the students' performance; the performance of right-handedness is better than that of left-handedness; right-handed students show an significant advantage over left-handed students on the items of left rotation, but no significant advantage on the items of right rotation.

四、空间旋转游戏经验的多寡，与学童的测验表现有著高度的正相关；而二度空间旋转的表现显著优於三度空间旋转；又旋转角度与旋转方向均显著的影响学童的表现，旋转角度愈大，答对率愈低，向右旋转试题优於向左旋转试题；另外，手利亦显著影响学童的表现，右手利优於左手利，右手利学童在向左旋转的测验表现上，显著优於左手利学童；但在向右旋转试题上，则无显著差异。。

Missirlis in article [1]. At the same time, a sufficient condition for convergence of the PSD method is given to be compared when the coefficient matrix A of the linear system Ax = b is a symmetric, positively defective matrix. In §3.2, an example is given to state that the range of our sufficient condition is wider than theorem 3.3 of article [1]. On the other hand, following a.n analogous approach of [14] and starting the functional relationshipwe have a perfect analysis for the PSD method to converge and optimum valves for the involved parameters under different conditions.Under the assumptions that A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are real,we get necessary and sufficient conditions for the PSD method to convergence.The result is equal to theorem 1 of article [9].Under the same condition, we can see the optimal parameter and of corresponding spectral radius of thePSD method in [8]:(2)When A is a consistent ordered matrix with nonvanishing diagonal elements and the eigenvalues of the Jacobi matrix of A are imaginary or zero,we get necessary and sufficient conditions for the PSD method to convergence.In chapter 3, the optimal parameter and of corresponding spectral radius of the PSD method are given by table 3.3. Moreover, under the assumption 0

Missirlis在文献[1]中定理3.3的不准确，同时给出了当线性方程组Ax=b的系数矩阵A为对称正定阵时，PSD迭代法收敛的一个充分条件与之比较，并且在§2.3中用实例说明了对于一部分矩阵而言本文得到的充分条件广于[1]中定理3.3的充分条件；另一方面，按照文献[14]的方法，我们从PSD迭代法的特征值λ与其Jacobi迭代矩阵B的特征值μ的关系式：出发，在不同条件下对PSD迭代法的收敛性和最优参数以及最优谱半径进行了完整的分析：(1)在系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为实数的条件下，给出了PSD迭代法收敛的充分必要条件，此结果与[9]中的定理1等价，此时最优参数及最优谱半径由[8]得：(2)第三章表3.3中给出了，当系数矩阵A为(1，1)相容次序矩阵且对角元全不为零，其Jacobi迭代矩阵B的特征值全为纯虚数或零时的PSD迭代法的收敛范围和最优参数，并且我们可以得到当0

Without the need of traditional numerical optimization method, solution for particular numerical problem can be obtained by substituting numerical values of each coefficient into the symbolic solution.

有效子问题是指子问题的最优解中至少有一个是原问题的最优解，多余子问题是指子问题的最优解中没有一个解是原问题的最优解。 3）求解方面：在国内外首次提出了求解最优解的符号表达式的思想。

The hybrid rice seed production company has two main-line hybrid rice, Shanyou series, privileged family, Xieyou series, Liangyoupeijiu, such as Guangdong, gifted 938 complete two-line hybrid varieties of hybrid rice in various combinations, and with the Zhejiang , Hunan, Hubei, Jiangxi, Anhui, Henan, more than 20 seed companies have established good relations of cooperation.

公司生产的杂交稻种主要有两系杂交稻、汕优系列、特优系列、协优系列、两优培九、粤优938等两系杂品种齐全的各类杂交稻组合，并已与浙江、湖南、湖北、江西、安徽、河南等20多家种子企业建立了良好的合作关系。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。