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The note is concerned with linear negative imaginary systems. First, a previously established Negative Imaginary Lemma is shown to remain true even if the system transfer function matrix has poles on the imaginary axis. This result is achieved by suitably extending the definition of negative imaginary transfer function matrices. Secondly, a necessary and sufficient condition is established for the...
The paper is concerned with the stability analysis of positive feedback interconnections of negative imaginary systems. Firstly, a previously established Negative Imaginary Lemma is shown to remain true even if the transfer function has poles on the imaginary axis. This is achieved by suitably extending the definitions of negative imaginary transfer functions. Secondly, a necessary and sufficient...
The paper is concerned with the notion of lossless negative imaginary systems and their stabilization using a strictly negative imaginary controller through positive feedback. Firstly, some properties of lossless negative imaginary transfer functions are studied. Secondly, a lossless negative imaginary lemma is given which establishes conditions on matrices appearing in a minimal state-space realization...
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