Negative Imaginary Lemmas for Descriptor Systems

作者：Xiong, Junlin^*; Lanzon, Alexander^*; Petersen, Ian R.^*

来源：IEEE Transactions on Automatic Control, 2016, 61(2): 491-496.

DOI：10.1109/TAC.2015.2444233

• Descriptor systems
• linear matrix inequalities
• negative imaginary systems
• RLC circuits

This technical note studies the negative imaginary properties of descriptor linear systems based on state-space realizations. Under the assumption of a minimal realization, necessary and sufficient conditions are established to characterize the negative imaginary properties of descriptor systems in terms of linear matrix inequalities with equality constraints. In particular, a negative imaginary lemma, a strict negative imaginary lemma and a lossless negative imaginary lemma are developed. A multiple-input and multiple-output RLC circuit network is used as an illustrative example to validate the developed theory.

• 出版日期2016-2
• 单位中国科学技术大学