This paper is concerned with discrete-time negative imaginary (DT-NI) functions. First, a new
definition of DT-NI functions is introduced. Then, by means of the relations between discrete …

This paper studies the connection between discrete-time and continuous-time negative
imaginary systems. First, we analyze differences between two statements that are claimed to …

We derive necessary and sufficient conditions for stability analysis of a positive feedback
interconnection of a discrete-time negative imaginary system and a discrete-time strictly …

We report a procedure to design fixed-structure strictly negative imaginary (SNI) controllers
for collocated, highly resonant systems based on frequency response data. We formulate the …

In this paper, a multivariable integral resonant controller is designed based on the measured
frequency response of a 2-DOF MEMS nanopositioner with collocated sensors and …

This paper provides an analysis of uncertain discrete-time negative imaginary and positive
real systems with state-space symmetry. First, a necessary and sufficient condition is …

Video-rate atomic force microscopy is in high demand to visualize dynamic processes in
realtime, whereas the functionality of a commercial atomic force microscope (AFM) is …

In recent years, negative imaginary systems have attracted great attention due to their
unique properties. The notion of negative imaginary systems was inspired by inertial …

We propose two novel dynamic event-triggered con-trol laws to solve the average
consensus problem for first-order continuous-time multiagent systems over undirected …