Analyse the stability of the following dynamical systems by using Lyapunov theory. All bold small letters (e.g., v) are assumed to be column vectors. Are these systems stable, asymptotically stable, or unstable? Analytically demonstrate it. 2) y + y = u where the control input is defined as u = - 3) w = -AT Aw -5(y- yd), for yd as a desired constant target where A Rmxn, for m > n, is a "short and fat" matrix with full-row rank. 4) x = -x - (x - x) where x is a constant scalar. 5) s = ks where k > 0 is a constant scalar.