OCJul 21, 2011
A New Stability Result for the Feedback Interconnection of Negative Imaginary Systems with a Pole at the OriginMohamed A. Mabrok, Abhijit G. Kallapur, Ian R. Petersen et al.
This paper is concerned with stability conditions for the positive feedback interconnection of negative imaginary systems. A generalization of the negative imaginary lemma is derived, which remains true even if the transfer function has poles on the imaginary axis including the origin. A sufficient condition for the internal stability of a feedback interconnection for NI systems including a pole at the origin is given and an illustrative example is presented to support the result.