Spectrum analysis of LTI continuous-time systems with constant delays: A literature overview of some recent results

L Pekař, Q Gao - IEEE Access, 2018 - ieeexplore.ieee.org
In recent decades, increasingly intensive research attention has been given to dynamical
systems containing delays and those affected by the after-effect phenomenon. Such …

[图书][B] Stability, control, and computation for time-delay systems: an eigenvalue-based approach

W Michiels, SI Niculescu - 2014 - SIAM
The interconnection between two (or more) physical systems is always accompanied by
transfer phenomena (material, energy, information) such as transport and propagation …

[图书][B] Stability and stabilization of time-delay systems: an eigenvalue-based approach

W Michiels, SI Niculescu - 2007 - SIAM
The interconnection between two (or more) physical systems is always accompanied by
transfer phenomena (material, energy, information), such as transport and propagation …

PID control design for first-order delay systems via MID pole placement: Performance vs. robustness

D Ma, I Boussaada, J Chen, C Bonnet, SI Niculescu… - Automatica, 2022 - Elsevier
The PID control is favored in controlling industrial processes for its ease of implementation.
In this paper we present an analytical study, with an aim at stability robustness, tracking …

Multiplicity-induced-dominancy in parametric second-order delay differential equations: Analysis and application in control design

I Boussaada, SI Niculescu, A El-Ati… - … and Calculus of …, 2020 - esaim-cocv.org
This work revisits recent results on maximal multiplicity induced-dominancy for spectral
values in reduced-order time-delay systems and extends it to the general class of second …

A sequential quadratic programming algorithm for nonconvex, nonsmooth constrained optimization

FE Curtis, ML Overton - SIAM Journal on Optimization, 2012 - SIAM
We consider optimization problems with objective and constraint functions that may be
nonconvex and nonsmooth. Problems of this type arise in important applications, many …

Stability optimization of time-delay systems with zero-location constraints applied to non-collocated vibration suppression

A Saldanha, W Michiels, M Kuře, J Bušek… - Mechanical Systems and …, 2024 - Elsevier
We present an active control method for achieving non-collocated vibration absorption,
implemented on a lumped mass system. The task of suppressing vibrations at a number of …

A quasi-Newton algorithm for nonconvex, nonsmooth optimization with global convergence guarantees

FE Curtis, X Que - Mathematical Programming Computation, 2015 - Springer
A line search algorithm for minimizing nonconvex and/or nonsmooth objective functions is
presented. The algorithm is a hybrid between a standard Broyden–Fletcher–Goldfarb …

Spectrum-based stability analysis and stabilisation of systems described by delay differential algebraic equations

W Michiels - IET control theory & applications, 2011 - IET
An eigenvalue-based framework is developed for the stability analysis and stabilisation of
coupled systems with time-delays, which are naturally described by delay differential …

[HTML][HTML] Further remarks on the effect of multiple spectral values on the dynamics of time-delay systems. Application to the control of a mechanical system

I Boussaada, S Tliba, SI Niculescu, HU Ünal… - Linear Algebra and its …, 2018 - Elsevier
A question of ongoing interest for linear Time-delay systems is to determine conditions on
the equation parameters that guarantee the exponential stability of solutions. In recent works …