Stability and stabilization of systems with time delay

R Sipahi, SI Niculescu, CT Abdallah… - IEEE Control …, 2011 - ieeexplore.ieee.org
Time-delays are important components of many dynamical systems that describe coupling
or interconnection between dynamics, propagation, or transport phenomena in shared …

A review of some subtleties of practical relevance for time‐delay systems of neutral type

K Gu - International Scholarly Research Notices, 2012 - Wiley Online Library
This paper reviews some subtleties in time‐delay systems of neutral type that are believed to
be of particular relevance in practice. Both traditional formulation and the coupled differential …

Bounds of imaginary spectra of LTI systems in the domain of two of the multiple time delays

Q Gao, N Olgac - Automatica, 2016 - Elsevier
The stability of linear time invariant (LTI) systems with independent multiple time delays and
the cluster treatment of characteristic roots (CTCR) paradigm are investigated from a new …

A new LKF approach to stability analysis of linear systems with uncertain delays

IV Alexandrova, AP Zhabko - Automatica, 2018 - Elsevier
In this paper, we analyze the asymptotic stability of linear systems with multiple uncertain
delays assuming the nominal delays to be constant with possible zero or nonzero values …

Stability crossing set for systems with three delays

K Gu, M Naghnaeian - IEEE Transactions on Automatic Control, 2010 - ieeexplore.ieee.org
This article describes the stability crossing set for linear time-delay systems of arbitrary order
with three delays. The crossing frequency set, which consists of all frequencies where a pair …

Stability analysis for LTI systems with multiple time delays using the bounds of its imaginary spectra

Q Gao, N Olgac - Systems & Control Letters, 2017 - Elsevier
The stability of linear time invariant (LTI) systems with multiple independent time delays and
the cluster treatment of characteristic roots (CTCR) paradigm are investigated from a new …

Advanced clustering with frequency swee** methodology for the stability analysis of multiple time-delay systems

R Sipahi, II Delice - IEEE Transactions on Automatic Control, 2010 - ieeexplore.ieee.org
A new methodology, advanced clustering with frequency swee** (ACFS), is introduced for
the stability analysis of the most general class of linear time-invariant time-delay systems …

Critical frequencies and parameters for linear delay systems: A Lyapunov matrix approach

G Ochoa, VL Kharitonov, S Mondié - Systems & Control Letters, 2013 - Elsevier
A new method, based on recent results concerning the construction of the Lyapunov matrix
of delay systems, reveals conditions under which the characteristic function has a root s 0 …

Extraction of 3D stability switching hypersurfaces of a time delay system with multiple fixed delays

R Sipahi, II Delice - Automatica, 2009 - Elsevier
Stability switching hypersurfaces (SSH) of a general class of linear time invariant (LTI)
multiple time delay systems (MTDS) are extracted. The number of delays ℓ and system order …

Pattern formation in a two-component reaction–diffusion system with delayed processes on a network

J Petit, M Asllani, D Fanelli, B Lauwens… - Physica A: Statistical …, 2016 - Elsevier
Reaction–diffusion systems with time-delay defined on complex networks have been studied
in the framework of the emergence of Turing instabilities. The use of the Lambert W-function …