控制与决策模板

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\footnotesize {\hskip -4pt\CJKfamily{hei}摘~~~~要\textbf{:~~}}本文给向《控制与决策》投稿的作者提供一个中文Latex模版, 共
分几章分别进行说明, 其中包括定理、\!\!定义、\!\!推论等的引用;
公式的例子; 图形的插入;
表格的制作以及参考文献、\!\!作者简介等内容.
作者只需在相应的位置填入相应的内容既可.

{\CJKfamily{hei} 关键词\textbf{:~~}} 关键词1；关键词2；关键词3；关键词4

{\CJKfamily{hei}中图分类号\textbf{:~~}}TP273~~~~~~~~~~~~~~~~~~~~~~~~~
{\CJKfamily{hei}文献标识码\textbf{:~~} A }}
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\hskip -5pt Template for preparation of papers for Control and Decision \\[-5pt]}}
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\hskip -7pt\textit{TENG Rong}\makebox{$^{1}$},~~\textit{LIU Xiao-liu}\makebox{$^{2}$ }\\
\footnotesize (1. School of Information Science and Technology，Northeastern University，Shenyang 110004，China； 2. College of\linebreak Gardening，Shenyang Agricultural University，Shenyang~110014，China．Correspondent：TENG Rong，E-mail：\linebreak tengrong@)\\[5pt]
\footnotesize{\textbf{Abstract:~~}This article is
designed to help in the contribution for
Control and Decision. It is divided into several
sections. It consists of the styles and notes for the main text, the
mathematical writing style and
the topic of drawing tables and inserting figures
respectively. The residuals deal with references,
acknowledges, etc.

\textbf{Key words:~~} Key word1；Key word2；Key word3；Key word4 }}
\end{center}
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\section{引~~~~~~言}
文中需特别说明的内容, 主要有以下几个方面:

摘要: 摘要应体现目的、\!\!方法、\!\!结果和结论四要素, 中文摘要以150$\sim$200字为宜, 一般不用第一人称.

标题: 一般的文章包含一级标题、\!\!二级

标题甚至三级标题, 例如: 2;
2.1; 2.1.1等.

参考文献: 文章中的参考文献的序号应该按正文中出现的先后顺序编排, 例如:
因此这一控制方法已在控制理论领域引起了广泛的关注, 其应用不仅
限于机器人控制领域\textsuperscript{[1, 2]},
而且在非线性系统的鲁棒
控制上也有了较大的发展\textsuperscript{[3-6]}. 此外,
在离散系统、\!\!分布参数系统上有了相应的应用\textsuperscript{[7-9]}.
这一控制方法正逐步形成控制理论领域中的一个新方向,
具体可以参见文献\textsuperscript{[10]}.
具体要求见第7节.

数学符号: 文章中的数学符号, 例如$x, y, Z$等. 在以下的相关章节中会有
具体的公式例子.

插图: 文中的插图要做到布局合理, 尺寸适当, 图形美观, 线条清晰, 文字符号简约.文中的图应以.eps的格式插入, 且图中的有关说明应用中文,
图名应该为中文形式且图的正下方, 例子见第5节.

表格: 表格结构应简洁、\!\!明确, 尽量采用三线表(即: 表格中没有竖线,
只有三条横线(特殊情形除外), 表名在表格的正上方. 表中参量应标明单位.
例子见第6节.

修改稿要求论点明确, 论证充分, 语句通顺, 文字简练, 字迹工整. 定稿时论文不超过5页;~短文不超过4页; 综述与评论以及长论文字数可稍放宽. 凡字数超过要求、\!\!文字
不流畅、\!\!编排混乱的稿件不发表.
\begin{Rem}{作者不要修改tex源文件中对版面设置的语句, 否则会给编辑工作造成不必要的麻烦.}\end{Rem}
\begin{Rem}{请作者上传tex源文件和PDF格式文件.}\end{Rem}
\section{应用环境}
下面是几个定理、\!\!推论、\!\!定义的应用环境. 定理、\!\!引理、\!\!定义、\!\!命题、\!\!算法、\!\!例、\!\!注等通篇排序.
\begin{Thm}
若$(e^{(1)}_k(t), e^{(2)}_k(t))\in S$, 则有如下关系式成立:
\begin{eqnarray}
e^{(1)}_{k+1}(t)=G_ie^{(1)}_k(t)+F_i(x^{(1)}_{k+1}(t)-x^{(1)}_k(t)).
\end{eqnarray}
其中
\begin{eqnarray*}
&&G_1=I-(I-C_{12}\hat{C}^{-1}_2C_1)DL_1, \\
&&G_2=I-(I+C_{12}C^{-1}_{22}C^{-1}_2C_1)^{-1}DL_1, \\
&&F_1=-C_{11}+C_{12}\hat{C}^{-1}_2\hat{C}_1, \\
&&F_2=(I+C_{12}C^{-1}_{22}C^{-1}_2C_1)^{-1}(-C_{11}C^{-1}_{22}C_{21}).
\end{eqnarray*}
\end{Thm}
\textbf{证明}\quad 因为
所寻求的迭代学习控制为
\begin{eqnarray}
u_{k+1}=u_k+Le_k, ~k=1, 2, \cdots.
\end{eqnarray}
其中: $e_k=y_d-y_k, y_d$是期望输出,
$y_k$是系统相对于第$k$次输入$u_k$的实际输出; $L$为要寻求的学习矩阵,
一般要求它满足
\begin{eqnarray}
\Arrowvert{I-DL}\Arrowvert<1 ~\text{或者}~ \rho(I-DL)<1.
\end{eqnarray}
由此定理得证. {\Large $\Square$} %%定理得证后的方形标识
\begin{Site}
在~$i=1, 2$~的~情~形~下, $\Arrowvert
x^{(1)}_{k+1}(t)-x^{(1)}_k(t)\Arrowvert$满足如下估计:
\begin{eqnarray}
{\Arrowvert x^{(1)}_{k+1}-x^{(1)}_k\Arrowv

ert}_\lambda&\leqslant&
\frac{1}{1-h_1(i)}\Arrowvert x^{(1)}_{k+1}(0)-x^{(1)}_k(0)\Arrowvert+\notag\\
&&\frac{h_2(i)}{1-h_1(i)}{\Arrowvert
e^{(1)}_k\Arrowvert}_\lambda+\rho(Q),
\end{eqnarray}
其中$\rho(Q)$为矩阵$Q$的谱半径. 从条件(1)可知,
所寻求的学习矩阵$L$应使得矩阵$DL$没有零特征值. 事实上, 设
$\lambda$是矩阵$I-DL$的任一特征值,
由$\Arrowvert{I-DL}\Arrowvert<1$知,
$\arrowvert{\lambda}\arrowvert<1$.
\end{Site}
\begin{Cor}
若对系统(2), 能选择$C_1$, $C_2$, $L_1$使得$\Arrowvert
G_i\Arrowvert+h<1$(或$\rho(G_i)+h<1$), $i=1, 2$;
则当$(e^{(1)}_k(t), e^{(2)}_k(t))\in S$时, 有
\begin{eqnarray*}
\lim\limits_{k \rightarrow
\infty}e^{(1)}_k(t)=\lim\limits_{k\rightarrow\infty}e^{(2)}_k(t)=0, t\in[0, T],
\end{eqnarray*}
即流形$S$是相应于系统(2)的稳定流形. 其中$h$是式(3)中给定的.
\end{Cor}
\begin{Def}
定义方程
\begin{eqnarray}
y_1=C_{11}x_1+C_{12}x_2+D_{11}u_1.
\end{eqnarray}
\end{Def}
\begin{Sup}
假设的例子.
\end{Sup}
\begin{Sup}
假设的例子.
\end{Sup}
\section{符号、\!\!计量单位和缩略词}
全文同一名词术语、\!\!人名、\!\!地名须前后一致. 每个字母符号所表示的物理意义须前后一致, 并采用习惯表示法. 文中缩写词（中文或英文）须在首次出现时注明全称.
\section{公式的例子}
现在随便给出一些比较常用的有关公式的例子, 可以作为参考.

正文中凡表示人名、\!\!地名、\!\!专有名词、\!\!计量单位、\!\!专用符号等外文, 一律用正体.如Goodwin, New York, GA, kW, sin, lim, max, sup, diag, 时间s, 长度m, 微分d, 指数e, 连加∑, 圆周率π, 增量Δ（或δ）, 转置符号T（或τ）, 虚数i（或j）等.
凡表示变量或一般函数的外文字母, 一律用斜体. 如：$y (k) = C (k) + E (k)$.有的上、\!\!下角标, 如：控制器$(c)$, 转子$(r)$, 高$(h)$, 右$(R)$等, 可以用斜体. 有时两个字母表示一个变量或函数时，这两个字母也可以用斜体，如$EC$等.

重要公式要编号, 一般采用通篇排序, 但最多不宜超过40.长式应尽量排成分栏, 公式转行一般从=、\!\!$>$、\!\!$<$或+、\!\!—、\!\!$\times$后面断开.
同一序号但不在一行的几个公式, 各式一般要左对齐.
\subsection{例~1}
下面为长公式换行的例子：
\begin{eqnarray}
T_{zw}(S)&=&P_{11}(S)+P_{12}(S)[I-\notag\\
&&K(S)P_{22}(S)]^{-1}K(S)P_{21}(S).
\end{eqnarray}
\subsection{例~2}
下面给出两个不同的方程组:
\begin{eqnarray*}
\left\{\begin{aligned}
&\d{\aa}ot{x}(t)\begin{array}{l}\sum\limits_{i=0}^{2n_{x}}\end{array}=A^c x(t)+B^cu(t)+ E^c d(t),\\
&z(t)=C^c x(t).
\end{aligned}\right.\
\end{eqnarray*}
\begin{eqnarray}
t\in \textbf{\textit{R}}^+.
\end{eqnarray}
\subsection{例~3}
这里给出几种不同的描述矩阵的例子:

1）省略了矩阵中部分元素的例子.
\begin{equation}
\left[\begin{array}{cccc}

a_{11}& a_{12}&\dots &a_{1n}\\
a_{21}& a_{22}&\dots &a_{2n}\\
\vdots&\vdots& \ddots &\vdots\\
a_{n1}& a_{n2}&\dots &a_{nn}
\end{array}\right].
\end{equation}

2）矩阵的例子.
\begin{eqnarray}
&&A_1=\left[\begin{array}{cc} 1&-2\\-2&4
\end{array}\right], \\
&&A_2=\left[\begin{array}{ccc} 1~&1~&-2\\-2~&3~&4
\end{array}\right]^{\textup{T}}.
\end{eqnarray}

3）调整公式字体大小的特例.

用命令 \textbackslash displaystyle 可以调整在文字中过小的公式. 例如
$f(z)\thickapprox{\displaystyle\frac{1+\frac{1}{2}z+z^2+\frac{1}{2}z^3}{1-\frac{1}{2}z+z^2}}.$

用命令 \textbackslash textstyle 可以调整公式中过大的情况如下:
\begin{eqnarray}
&&{\bm z}^{\rm T}(t)\{A_q^{\rm T}[P(t)+I]A_q-[P(t)+I]\}{\bm z}(t)+ \nonumber\\
&&{\textstyle\sum\limits_{i=1}^m}\varint\nolimits_{t-\tau_i}^t\!\!{\bm
z}^{\rm T}(s)\{A_q^{\rm T}A_q-I\}{\bm z}(s){\rm d}s\leqslant 0.
\end{eqnarray}

4）公式的编号问题.

有些地方对于公式的编号需要子公式编号, 也就是说,
当这个环境之前的公式编号是(10)时, 那么此环境中的公式按照(11a),
(11b), (11c), $\cdots$的顺序编号. 如
\begin{subequations}
\begin{eqnarray}
\dot{x}(t)&=&A_{i}x_{t}(0)+A_{i1}x_{t}(-r), t\geqslant t_{0},
\notag\\
&& i\in \{1, \cdots , N\}.
\end{eqnarray}
在第1个子公式和第2个子公式之间可以添加文字内容.
\begin{eqnarray}
s:&=&\big\{(t_{0}, \pi(0)), \cdots
(t_{k}, \pi(k)), \cdots |\notag\\
&&t_{i}\big\}.
\end{eqnarray}
在第2个子公式和第3个子公式之间同样可以添加文字内容.
\begin{eqnarray}
\left\{\begin{aligned}
&\dot{x}(t)=A_{i}x_{t}(0)+A_{i1}x_{t}(-r), \\
&y(t)=C_{i}x_{t}(0);t\geqslant t_{0}, i\in\{1, 2\}.
\end{aligned}\right.
\end{eqnarray}
\end{subequations}

\section{插~~~~~~图}
Latex对于图形的要求: 图形文件格式必须为.eps, 再利用下面的环境插入图形即可. 图形必须清晰, 推荐用coreldraw X3来绘图. 图形的位置由命令
中“trim=0 0 0 0”来控制, 可以通过修正其中的4个参数来移动图形的位置.
所给出的4个数字分别表示从图形的左边缘、\!\!下边缘、\!\!右边缘、\!\!上边缘被截去的值,
正数表示从边缘截去的大小, 而负数表示从边缘加上的大小.

1)~框图必须有横纵坐标变量及单位, 如图1所示.
\begin{center}
\includegraphics [scale=1,trim=0 0 0 0]{}\\
\label{Fig1}
{\fontsize{9pt}{11.6pt}\selectfont \CJKfamily{hei}图~\textbf{1} ~~ 图形标题 }
\end{center}

2)~结构图形尽量简洁，线条清晰, 如图2所示.
\begin{center}
\includegraphics [scale=1,trim=0 0 0 0]{1-2.eps}\\
\label{Fig1}
{\fontsize{9pt}{11.6pt}\selectfont \CJKfamily{hei}图~\textbf{2}~~对模型性能的影响}
\end{center}

3)~图中有若干分图的必须有分图名, 如图3所示.
\begin{center}
\includegraphics [scale=1,trim=0 0 0 0]{1-3.eps}\\

\label{Fig1}
{\fontsize{9pt}{11.6pt}\selectfont \CJKfamily{hei}图~\textbf{3} ~~ 图形标题}
\end{center}
\section{表~~~~~~格}
一个表格的例子.
\begin{center}
{\fontsize{9pt}{11.6pt}\selectfont\CJKfamily{hei} 表~\textbf{1} ~~ 模糊控制规则}\\
\label{tab:1} \vskip 3pt
\newcommand{\rb}[1]{\raisebox{2.5ex}[0pt]{#1}}
%\renewcommand\tabcolsep{2pt}
{\fontsize{7.5pt}{11.6pt}\selectfont
\begin{tabular}{@{ }cccccccc@{ }}\toprule
&\multicolumn{7}{c}{$\Delta e$}\\
\cmidrule(l){2-8}
\rb{$e$}&NB & NM & NS & ZO & PS & PM & PB\\\midrule
NM & NB & NM & NS & ZO & PS & PM & PB\\
NS & NB & NM & NS & ZO & PS & PM & PB\\
NO & NB & NM & NS & ZO & PS & PM & PB\\
PO & NB & NM & NS & ZO & PS & PM & PB\\
\bottomrule
\end{tabular}}\end{center}
\section{参考文献}
文中引用的参考文献应是正式出版的图书、\!\!期刊、\!\!会议论文集等. 参考文献按在正文中出现的先后次序排
列, 并在正文引用处标明序号. 同一处引用多篇文献，多篇文献置于一个方括号中; 若多篇文献中没有连续
号或只有两个连续号, 则各篇文献号之间用逗号; 若多篇文献中有超过两个的连续号, 则连续号之间用短连线. 如：[1, 3-5].
具体例子见模板后的参考文献.


1)~期刊文章:
[序号] 作者. 文献题名[J]. 刊名, 年, 卷(期): 起止页码.


2)~图书:
[序号] 作者. 文献题名[M]. 出版地: 出版者, 出版年: 起止页码.

3)~论文集:
[序号] 作者. 文献题名[C]. 论文集名. 出版地(指城市): 出版者(或会议地点), 出版年: 起止页码.

4)~学位论文和学术报告:
[序号] 作者. 文献题名[D或R]. 出版地(城市): 出版者(单位), (出版)年份: 起止页码.

5)~国家标准:
[序号] 标准编号, 标准名称[S].

6)~专~~利:
[序号] 专利所有者. 专利题名[P]. 国别: 专利号. 公告日期.

7)~电子文档:
[序号] 主要责任者. 题名 [文献类型标志/文献载体标志]. 出版地: 出版者, 出版年(更新或修改日期)[引用日期]. 获取和访问路径.

8)~各种未定义类型的文献:
[序号] 主要责任者. 文献题名[Z]. 出版地(城市): 出版者(单位), (出版)年份.

以上非英文文献者均需译成英文附在其后.

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% 参考文献
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\vskip 7pt
\noindent{\fontsize{10.2pt}{5.55mm}\selectfont{{\CJKfamily{hei}参考文献{\rm(\textbf{References})}}}}
\vspace*{-20pt}
{\fontsize{9pt}{15pt}\selectfont
\pretolerance=10000
\begin{thebibliography}{99} \vskip 7pt
\setlength{\parskip}{-5pt} %段落之间的竖直距离
%1
\bibitem[1]{}Arimoto S, Kawamura S, Miyazaki F. Bettering operation of
robotics by learning[J]. J Robotic System, 1984, 12(2): 123-140.
%2
\bibitem[2]{}姚仲舒, 王宏飞, 杨成梧. 一种机器人轨迹跟踪的迭代学习控制方法.
兵工学报[J]. 2004

, 25(3): 330-334.\\
(Yao Z S, Wang H F, Yang C W. A sort of iterative
learning control algorithm for tracking of robot trajectory[J].
Acta Armamentar, 2004, 25(3): 330-334.)
%3
\bibitem[3]{}Wang Ri Xin. Random process[M]. Xi'an: Xi'an Jiaotong University
Press, 1993.
%4
\bibitem[4]{}Li Bin. The main algorithm research on financial time
series data mining[D]. Hefei: University of Science and Technology
of China, 2001.
%5
\bibitem[5]{}Dogruel M, Ozgunzer U. Stability of hybrid systems[C].
Proc of IEEE Int Symposium on Intelligent Control. New
York: IEEE Press, 1994: 129-134.
%6
\bibitem[6]{}冯西桥. 核反应堆压力管道与压力容器的LBB分析[R]. 北京: 清华大学核能技术设计研究院, 1997.
%7
\bibitem[7]{}Xie Zhendong. Learning algorithm and
convergence of tracking control[J]. Systems Engineering and
Electronics, 1998, 20(10): 4-8.
%8
\bibitem[8]{} GB/T 16159-1996, 汉语拼音正词法基本规则[S].
%9
\bibitem[9]{}姜锡洲. 一种温热外敷药制备方案[P]. 中国：881056073. 1987-07-26.
%10
\bibitem[10]{}萧珏. 出版业信息化迈入快车\linebreak 道[EB/OL]. (2001-12-19)[2002-04-15]. http：//www.\linebreak /news/
200112190019.htm.
%11
\bibitem[11]{} 陈飞. latex排版的优势[Z]. 沈阳: 东北大学出版社, 2005.

\end{thebibliography}}
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\end{multicols}
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\clearpage
\end{CJK*}
\end{document}