Automatica, Vol.44, No.7, 1666-1675, 2008
Robustness with dynamic IQCs: An exact state-space characterization of nominal stability with applications to robust estimation
For robustness analysis with integral quadratic constraints, we formulate a new positivity condition on the solution of the corresponding linear matrix inequality which is necessary and sufficient for nominal stability of the underlying system. The application of this technical result is illustrated by a complete solution of the L-2-gain and robust H-2-estimator design problems if the uncertainties are characterized by dynamic integral quadratic constraints. (c) 2008 Elsevier Ltd. All rights reserved.