Robust stability analysis for feedback systems with simultaneous uncertainties via IQCs

摘要

The robust stability of feedback interconnections is studied for a class of continuous-time causal linear systems over finite-energy signals of non-uniformly lower-bounded support. The stability of the feedback system with simultaneous uncertainties in the plant and the controller is exploited via integral quadratic constraints (IQCs), in which the plants and controllers are taken from two path-connected uncertainty sets with respect to the Feintuch's time-varying gap metric. Subsequently, the robust stability of the two-port networked system is characterised by means of the combination of IQCs and the time-varying gap. In particular, some robust stability criteria are applicable to the linear systems that do not have strong graph representations.