Consider the system

$$G\left(s\right)=\frac{Y\left(s\right)}{U\left(s\right)}=\frac{1}{(s+1)(s+2)(s+3)}$$

a. Design a state-feedback controller, so that the closed-loop response has an overshoot of less than $5\%$ and a rise time under $0.5s$. Set one of the closed-loop poles at -10 .

b. $\$$ Verify the result in Part (a) by using the MATLAB command place.