Criterion for robustness of global asymptotic stability to external perturbations of linear time-varying systems

摘要

In this paper, we establish a new criterion for robustness of global asymptotic stability of zero solution of LTV system (x) over dot = A(t) x in the presence of external perturbations (disturbances). To prove the result, logarithmic norm will be used under which the stability becomes a topological notion depending on the chosen vector norm in the state-space R-n.