15 citations · 23 across the 6 of their papers we have counts for
6 papers
Converse negative imaginary theorems
Sei Zhen Khong, Di Zhao, Alexander Lanzon
Converse negative imaginary theorems for linear time-invariant systems are derived. In particular, we provide necessary and sufficient conditions for a feedback system to be robust…
Foundations of negative imaginary systems theory and relations with positive real systems
Augusto Ferrante, Alexander Lanzon, Lorenzo Ntogramatzidis
In this paper we lay the foundations of a not necessarily rational negative imaginary systems theory and its relations with positive real systems theory and, hence, with passivity.…
Feedback Control of Negative-Imaginary Systems: Large Flexible structures with colocated actuators and sensors
Ian R. Petersen, Alexander Lanzon
This paper presents a survey of recent results on the theory of negative imaginary systems. This theory can be applied to the robust control of large flexible structures with coloc…
Stability robustness of a feedback interconnection of systems with negative imaginary frequency response
A. Lanzon, I. R. Petersen
A necessary and sufficient condition, expressed simply as the DC loop gain (ie the loop gain at zero frequency) being less than unity, is given in this paper to guarantee the inter…
Generalizing Negative Imaginary Systems Theory to Include Free Body Dynamics: Control of Highly Resonant Structures with Free Body Motion
M. A. Mabrok, A. G. Kallapur, I. R. Petersen +1
Negative imaginary (NI) systems play an important role in the robust control of highly resonant flexible structures. In this paper, a generalized NI system framework is presented.…
A New Stability Result for the Feedback Interconnection of Negative Imaginary Systems with a Pole at the Origin
Mohamed A. Mabrok, Abhijit G. Kallapur, Ian R. Petersen +1
This paper is concerned with stability conditions for the positive feedback interconnection of negative imaginary systems. A generalization of the negative imaginary lemma is deriv…