Stability analysis of impulsive linear time-invariant infinite-dimensional systems
Résumé
We consider here the uniform exponential stability analysis of linear time-invariant infinite dimensional impulsive systems defined on a Hilbert space X. Such systems have been the subject of previous works such as [1]. We combine ideas from hybrid systems theory [2,3] and infinite-dimensional systems [4–6] to produce operator-based stability conditions, which can be analytically or numerically checked using off- the-shelf tools. We extend the general results to address the stability of such systems subject to periodic impulse sequences and sequences satisfying a minimum dwell-time condition.