Convex necessary and sufficient conditions for model (in)validation under SLTV structured uncertainty

This paper deals with the problem of model (in)validation of discrete-time, causal, LTI stable models subject to slowly linear time varying structured uncertainty, using frequency-domain data corrupted by additive noise. It is well known that in the case of structured LTI uncertainty the problem is NP hard in the number of uncertainty blocks. The main contribution of this paper shows that, on the other hand, if one considers arbitrarily slowly time varying uncertainty and noise in L₂ then tractable, convex necessary and sufficient conditions for (in)validation can be obtained.