(Solved): Problem 3: Lyapunov Stability for Continuous Time System Please select a Lyapunov function and sho ...

Problem 3: Lyapunov Stability for Continuous Time System Please select a Lyapunov function and show if the following systems is Lyapunov asymptotically stable or not. \[ \dot{x}(t)=\left[\begin{array}{cc} -1 & -1.6 \\ 1 & 0 \end{array}\right] x(t)+\left[\begin{array}{l} 1 \\ 2 \end{array}\right] u(t) \]