Petersen's lemma on matrix uncertainty is commonly used in the analysis and design for uncertain systems with time-varying norm-bounded uncertain parameter. In this note, Petersen's lemma is extended to the case where the uncertain inequality contains two uncertain matrix pairs. The condition is given such that the Petersen's lemma gives a necessary and sufficient condition. A numerical example is given to show the effectiveness of the proposed method.
['Xiaofu Ji', 'Hongye Su']
An Extension of Petersen's Lemma on Matrix Uncertainty