A Local Feedback Control Bringing a Linear System to Equilibrium
We design a bounded feedback control that steers a controllable linear system to equilibrium in a finite time. The procedure amounts to solving several linear-algebraic problems, including linear matrix inequalities. We solve these problems in an efficient way. The resulting steering time and the minimum time have the same order of magnitude.
reachable (attainable) set common lyapunov function brunovsky canonical form 39b03 37b25 93b10