Abstract
This paper further investigates a type of exponential stability for linear impulsive systems that is uniform with respect to the set of impulse times. The point of departure is a Lie-algebraic analysis previously developed for linear impulsive systems initially motivated by existing stability conditions for linear switched systems. The aim of this paper is a refinement of previous results whereby sufficient conditions for uniform exponential stability are cast explicitly in terms the linear impulsive system data. These conditions directly support the construction of a constant-parameter quadratic Lyapunov function that demonstrates uniform exponential stability.
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