This paper presents a survey of some of the main results in the theory of negative imaginary
systems. The paper also presents some applications of negative imaginary systems theory …

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 introduces the class of Time-Domain Input–Output Negative Imaginary (TD-IONI)
systems. The new TD-IONI definition unifies the class of the existing Negative Imaginary (NI) …

In this article, we define the notion of stable input–output negative imaginary (IONI) systems.
This new class captures and unifies all the existing stable subclasses of negative imaginary …

The movement of cooperative robots in a densely cluttered environment may be impossible
if the formation type is invariant. Hence, we investigate a novel method of switching time …

This paper extends the robust feedback stability theorem of negative imaginary systems by
removing restrictive assumptions on the instantaneous gains of the systems that were …

In this technical note we lay the foundations of a not necessarily rational negative imaginary
systems theory and its relations with positive real systems theory. In analogy with the theory …

A robust output feedback consensus problem for networked homogeneous negative-
imaginary (NI) systems is investigated in this technical note. By virtue of NI systems theory, a …

This paper presents a consensus-based robust cooperative control framework for a wide
class of linear time-invariant (LTI) systems, namely Negative-Imaginary (NI) systems. Output …

In this paper we introduce the notion of a discrete-time negative imaginary system and we
investigate its relations with discrete-time positive real system theory. In the framework …