Minimality for uncertain systems and IQCs

A necessary and sufficient condition is presented for the minimality of uncertain systems represented by a linear fractional transformation (LFT) on repeated scalar time-varying operators. This condition generalizes the role of controllability and observability gramians, and is expressed in terms of singular solutions to a pair of linear matrix inequalities (LMIs). Previous results on S-procedure losslessness for integral quadratic constraints (IQCs) play a key role in these results.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>