ABSTRACT
Definition 12.1 The equilibrium XQ of the system (12. la) is said to be stable, unstable or asymptotically stable if the solution x*(t) has the corresponding property according to Definition 1.3. An equilibrium is thus asymptotically stable, if all solutions starting close to it, remain close and eventually converge towards it. This is obviously a desirable property of a control system in most cases.
