Question

Exponential stability and asymptottic stability

Answer 1

Convergence requires a stronger notion called asymptotic stability. A point is an asymptotically stableequilibrium point of if: It is a Lyapunovstable equilibrium point of . There exists some open neighborhood of such that, for any , converges15.2 to as approaches infinity

Exponential stability is a form of asymptotic stability. Systems that are not LTI are exponentially stable if their convergence is bounded byexponential decay