Which of the following express the SMT formula for evolution of the above ACC system for $2$ iterations?

$(x=\left[\begin{array}{c}x\\ v\end{array}\right],$ and $A,B,C,D,K$ are discrete system matrices$)$

a$.$

$(\left[\begin{array}{c}-10\end{array}\right]$

$-5x_0\left[\begin{array}{c}10\end{array}\right]$

$5,U_0=-x_0,lt=0{)}^{{?}^{?}}(x_1=A{x}_0+B{U}_0{)}^{{?}^{?}}(lt==1{)}^{{?}^{?}}{U}_1$:$=-K{x}_1^{{?}^{?}}$

$(lt=lt+1{)}^{{?}^{?}}(lt$:$=0{)}^{{?}^{?}}(x_2=A{x}_1+B{U}_1{)}^{{?}^{?}}(lt==1{)}^{{?}^{?}}{U}_2$:$=-K{x}_2^{{?}^{?}}(lt$:$=0)$

b$.(\left[\begin{array}{c}-10\\ -5\end{array}\right]x_0\left[\begin{array}{c}10\\ 5\end{array}\right],U_0=-x_0,lt=0{)}^{{?}^{?}}(lt=lt+1{)}^{{?}^{?}}(x_1=A{x}_0+B{U}_0{)}^{{?}^{?}}(lt==1{)}^{{?}^{?}}{U}_1$:$=$

$-K{x}_1^{{?}^{?}}(lt$:$=0{)}^{{?}^{?}}(ltlt+1{)}^{{?}^{?}}(x_2=A{x}_1+B{U}_1{)}^{{?}^{?}}(lt==1{)}^{{?}^{?}}{U}_2$:$=-K{x}_2^{{?}^{?}}(lt$:$=0)$

c$.(\left[\begin{array}{c}-10\\ -5\end{array}\right]x_0\left[\begin{array}{c}10\\ 5\end{array}\right],U_0=-x_0,lt=0{)}^{{?}^{?}}(lt=lt+1{)}^{{?}^{?}}(x_1=A{x}_0+B{U}_0{)}^{{?}^{?}}(ltlt+1{)}^{{?}^{?}}$

$(x_2=A{x}_1+B{U}_1)$

d$.(\left[\begin{array}{c}-10\\ -5\end{array}\right]x_0\left[\begin{array}{c}10\\ 5\end{array}\right],U_0=-x_0,lt=0{)}^{{?}^{?}}(lt=lt+1{)}^{{?}^{?}}(x_1=A{x}_0+B{U}_0{)}^{{?}^{?}}{U}_1$:$=-K{x}_1^{{?}^{?}}$

$(lt=lt+1{)}^{{?}^{?}}(ltlt+1{)}^{{?}^{?}}(x_2=A{x}_1+B{U}_1{)}^{{?}^{?}}(lt==1{)}^{{?}^{?}}{U}_2$:$=-K{x}_2^{{?}^{?}}(lt$:$=0)$

a$.$

b$.$

c$.$

d$.$