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 …

This paper deals with the notion of output strictly negative-imaginary systems. A definition is
given for the class of output strictly negative-imaginary systems and a lemma is proposed to …

In this letter, an analytical framework is proposed to examine stability of two stable, linear
time invariant systems interconnected in positive feedback where the systems have “mixed” …

The negative imaginary (NI) property is exhibited by many systems such as flexible
structures with force actuators and position sensors and can be used to prove the robust …

In this paper, we present a generalized negative imaginary lemma based on a generalized
negative imaginary system definition. Then, an algebraic Riccati equation method is given to …

This paper studies non-proper negative imaginary systems. First, the concept of negative
imaginary transfer functions that may have poles at the origin and infinity is introduced …

Negative‐imaginary systems are important in engineering practice as this class of systems
appears quite often in practical problems, for example, lightly damped flexible structures with …

A state-space characterization is given for strongly strict negative-imaginary systems. It
facilitates both robust analysis and synthesis methods for interconnected negative-imaginary …

This paper considers the problem of robust stabilization of linear time‐invariant systems with
respect to unmodelled dynamics and structure uncertainties. To that end, a methodology to …

This paper presents a full-order state observer-based scheme that transforms a causal, LTI,
minimally realized system into a strongly strict negative-imaginary system by defining an …