diff --git a/docs/Chapters/1-MODERN-CONTROL.md b/docs/Chapters/1-MODERN-CONTROL.md index 1723f59..61fe745 100644 --- a/docs/Chapters/1-MODERN-CONTROL.md +++ b/docs/Chapters/1-MODERN-CONTROL.md @@ -107,23 +107,20 @@ $$ > > Then, put all variables equal to the previous one derivated: > -> $$ -x(t) = \begin{bmatrix} - x_1(t)\\ - x_2(t) = \dot{x_1}(t)\\ - \dots\\ - x_n(t) = \dot{x}_{n-1}(t) - \end{bmatrix} -\; -\dot{x}(t) = \begin{bmatrix} - \dot{x_1}(t) = x_2(t)\\ - \dot{x_2}(t) = x_3(t)\\ - \dots\\ - \dot{x}_{n-1}(t) = \dot{x}_{n}(t)\\ - \dot{x}_{n}(t) = \text{our formula} - \end{bmatrix} - -> $$ +> $x(t) = \begin{bmatrix} +> x_1(t)\\ +> x_2(t) = \dot{x_1}(t)\\ +> \dots\\ +> x_n(t) = \dot{x}_{n-1}(t) +> \end{bmatrix} +> \; +> \dot{x}(t) = \begin{bmatrix} +> \dot{x_1}(t) = x_2(t)\\ +> \dot{x_2}(t) = x_3(t)\\ +> \dots\\ +> \dot{x}_{n-1}(t) = \dot{x}_{n}(t)\\ +> \dot{x}_{n}(t) = \text{our formula} +> \end{bmatrix}$ > Now in our state we may express `position` and `speed`, while in our