Feedback stability of negative imaginary systems

A Lanzon, HJ Chen - IEEE Transactions on Automatic Control, 2017 - ieeexplore.ieee.org
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 …

Two‐layer distributed formation‐containment control strategy for linear swarm systems: Algorithm and experiments

J Hu, P Bhowmick, A Lanzon - International Journal of Robust …, 2020 - Wiley Online Library
This article addresses the problem of designing a two‐layer distributed formation‐
containment control scheme for linear time‐invariant swarm systems with directed …

On LTI output strictly negative-imaginary systems

P Bhowmick, S Patra - Systems & Control Letters, 2017 - Elsevier
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 …

Stability analysis of interconnected systems with “mixed” negative-imaginary and small-gain properties

S Patra, A Lanzon - IEEE Transactions on Automatic Control, 2011 - ieeexplore.ieee.org
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” …

A negative-imaginary lemma without minimality assumptions and robust state-feedback synthesis for uncertain negative-imaginary systems

Z Song, A Lanzon, S Patra, IR Petersen - Systems & Control Letters, 2012 - Elsevier
Negative-imaginary systems have important engineering applications, for example, in lightly
damped flexible structures with collocated position sensors and force actuators. This paper …

Robust cooperative control of multiple heterogeneous negative-imaginary systems

J Wang, A Lanzon, IR Petersen - Automatica, 2015 - Elsevier
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 …

Some new results in the theory of negative imaginary systems with symmetric transfer matrix function

A Ferrante, L Ntogramatzidis - Automatica, 2013 - Elsevier
This note represents a first attempt to provide a definition and characterisation of negative
imaginary systems for not necessarily rational transfer functions via a sign condition …

Output strictly negative imaginary systems and its connections to dissipativity theory

P Bhowmick, A Lanzon - … IEEE 58th conference on decision and …, 2019 - ieeexplore.ieee.org
This paper generalises the notion of output strictly negative imaginary systems and provides
a complete characterisation both in frequency domain and time domain. The paper also …

Solution to negative-imaginary control problem for uncertain LTI systems with multi-objective performance

P Bhowmick, S Patra - Automatica, 2020 - Elsevier
This paper addresses the problem of dynamic output feedback controller synthesis in LMI
framework for LTI generalized plants with negative-imaginary uncertainties. The proposed …

Applying negative imaginary systems theory to non-square systems with polytopic uncertainty

P Bhowmick, A Lanzon - Automatica, 2021 - Elsevier
This paper aims to apply Negative Imaginary (NI) systems theory to non-square LTI systems,
for example, flexible structure systems with redundant sensors and actuators. The paper …