A looped-functional approach for robust stability analysis of linear impulsive systems

Corentin Briat (1) , Alexandre Seuret (2, 3)

1 D-BSSE - Department of Biosystems Science and Engineering [ETH Zürich]
2 NECS - Networked Controlled Systems
3 LAAS - Laboratoire d'analyse et d'architecture des systèmes

A new functional-based approach is developed for the stability analysis of linear impulsive systems. The new method, which introduces looped-functionals, considers non-monotonic Lyapunov functions and leads to LMIs conditions devoid of exponential terms. This allows one to easily formulate dwell-times results, for both certain and uncertain systems. It is also shown that this approach may be applied to a wider class of impulsive systems than existing methods. Some examples, notably on sampled-data systems, illustrate the efficiency of the approach.

Mots clés: LMIs; Uncertain systems; Impulsive systems; Looped-functionals

Domaines: Optimisation et contrôle [math.OC]; Analyse classique [math.CA]; Systèmes dynamiques [math.DS]

Corentin Briat, Alexandre Seuret. A looped-functional approach for robust stability analysis of linear impulsive systems. Systems and Control Letters, 2012, 61 (10), pp.980-988. ⟨10.1016/j.sysconle.2012.07.008⟩. ⟨hal-00724545⟩