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Description
发生了什么?
如题,3.8.3版本单行公式与上下文的间距非常宽,多行公式反倒很窄。
另外,多行公式的公式内行间距也很窄,希望能再加宽一些。
你期望的结果
3.7.1版本的效果就很理想。
问题复现的步骤(或者截图)
满足如下式所示之关系
\begin{equation}
\boldsymbol{\mathcal{A}}_3^T \boldsymbol{\mathcal{P}}_3 \boldsymbol{\mathcal{A}}_3 - \boldsymbol{\mathcal{P}}_3 = -\boldsymbol{I}_2
\end{equation}
并将李雅普诺夫函数定义为
\begin{equation}
V_3(k) = \Delta \boldsymbol{\xi}_3^T (k) \boldsymbol{\mathcal{P}}_3 \Delta \boldsymbol{\xi}_3 (k)
\end{equation}
则该李雅普诺夫函数相邻两时间步的差分为
\begin{equation}
\renewcommand\arraystretch{1.5}
\begin{aligned}
\Delta V_3(k+1) &= V_3(k+1) - V_3(k) \\
&= \Delta \boldsymbol{\xi}_3^T (k+1) \boldsymbol{\mathcal{P}}_3 \Delta \boldsymbol{\xi}_3 (k+1) - \Delta \boldsymbol{\xi}_3^T (k) \boldsymbol{\mathcal{P}}_3 \Delta \boldsymbol{\xi}_3 (k) \\
&= \Delta \boldsymbol{\xi}_3^T (k) \left( \boldsymbol{\mathcal{A}}_3^T \boldsymbol{\mathcal{P}}_3 \boldsymbol{\mathcal{A}}_3 - \boldsymbol{\mathcal{P}}_3 \right) \Delta \boldsymbol{\xi}_3 (k) +
2 \Delta \boldsymbol{\xi}_3^T (k) \boldsymbol{\mathcal{A}}_3^T \boldsymbol{\mathcal{P}}_3 \boldsymbol{\beta}_3 \left( u_3^{\rm cl} + \Delta d_a (k) \right) \\
&\leq -\Vert \Delta \boldsymbol{\xi}_3 (k) \Vert_2^2 + 2 \Vert \Delta \boldsymbol{\xi}_3 (k) \Vert_2 \Vert \boldsymbol{\mathcal{A}}_3 \boldsymbol{\mathcal{P}}_3 \boldsymbol{\beta}_3 \Vert_2 \left( \vert u_3^{\rm cl} \vert + \bar{\varepsilon}_4 \right) \\
&= -\Vert \Delta \boldsymbol{\xi}_3 (k) \Vert_2^2 + 0.638 \Vert \Delta \boldsymbol{\xi}_3 (k) \Vert_2 \left( \vert u_3^{\rm cl} \vert + \bar{\varepsilon}_4 \right)
\end{aligned}
\end{equation}
其中,
BIThesis 模板
硕博·学位论文 — graduate-thesis
操作系统或平台
Windows
LaTeX 发行版以及发行年份
TeX Live 2023
日志信息(可选)
YDX-2147483647YDX-2147483647
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AwaitHold for others to make progressHold for others to make progress🐛 bugSomething isn't workingSomething isn't working