Abstract

This paper presents a computational approach for analyzing the robust linfin-gain (or the robust l1 performance) of uncertain linear systems with parametric uncertainties. The method considers the class of systems where the state-space matrices may have a rational dependence on structured parametric time-invariant or time-varying uncertainties. The computation is based on robust semi-definite programming and provides a trade-off between accuracy and computational effort. A novel matrix inequality condition to determine the star-norm of discrete-time systems is derived as an auxiliary result

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