Characterizing the codimension of zero singularities for timedelay systems: A link with Vandermonde and Birkhoff incidence matrices, Acta Applicandae Mathematicae, pp.1-46, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01429961
Tracking the Algebraic Multiplicity of Crossing Imaginary Roots for Generic Quasipolynomials: A Vandermonde-Based Approach, IEEE Transactions on Automatic Control, vol.61, issue.6, p.6, 2016. ,
DOI : 10.1109/TAC.2015.2480175
URL : https://hal.archives-ouvertes.fr/hal-01425757
Two numerical methods for optimizing matrix stability, Linear Algebra and its Applications, vol.351, issue.352, pp.351-352117, 2002. ,
DOI : 10.1016/S0024-3795(02)00260-4
URL : https://doi.org/10.1016/s0024-3795(02)00260-4
An Eigenvalue Perturbation Approach to Stability Analysis, Part I: Eigenvalue Series of Matrix Operators, SIAM Journal on Control and Optimization, vol.48, issue.8, pp.485564-5582, 2010. ,
DOI : 10.1137/080741707
An introduction to infinite-dimensional linear systems theory, Texts in Applied Mathematics, vol.21, 1995. ,
DOI : 10.1007/978-1-4612-4224-6
Computational methods for bifurcation problems with symmetries???with special attention to steady state and Hopf bifurcation points, Journal of Computational and Applied Mathematics, vol.26, issue.1-2, pp.97-123, 1989. ,
DOI : 10.1016/0377-0427(89)90150-7
Migration of double imaginary characteristic roots under small deviation of two delay parameters, 2015 54th IEEE Conference on Decision and Control (CDC), pp.6410-6415, 2015. ,
DOI : 10.1109/CDC.2015.7403229
URL : https://hal.archives-ouvertes.fr/hal-01261215
Fixed-Order H-Infinity Control for Interconnected Systems Using Delay Differential Algebraic Equations, SIAM Journal on Control and Optimization, vol.49, issue.5, pp.2212-2238, 2011. ,
DOI : 10.1137/100816444
A note on the determinant of a functional confluent vandermonde matrix and controllability, Linear Algebra and its Applications, vol.30, issue.0, pp.69-75, 1980. ,
DOI : 10.1016/0024-3795(80)90182-2
Theory of functional differential equations, Applied Mathematical Sciences, vol.3, 1977. ,
DOI : 10.1007/978-1-4612-9892-2
Introduction to functional differential equations, Applied Mathematical Sciences, vol.99, 1993. ,
DOI : 10.1007/978-1-4612-4342-7
On the perturbation of analytic matrix functions. Integral Equations and Operator Theory, pp.325-338, 1999. ,
A Krylov Method for the Delay Eigenvalue Problem, SIAM Journal on Scientific Computing, vol.32, issue.6, pp.3278-3300, 2010. ,
DOI : 10.1137/10078270X
Differential-Algebraic Equations: analysis and numerical solution, Textbook in Mathematics, 2006. ,
DOI : 10.4171/017
Perturbation Theory for Analytic Matrix Functions: The Semisimple Case, SIAM Journal on Matrix Analysis and Applications, vol.25, issue.3, pp.606-626, 2003. ,
DOI : 10.1137/S0895479803423792
Birkhoff Interpolation, SIAM Journal on Numerical Analysis, vol.8, issue.1, pp.43-48, 1971. ,
DOI : 10.1137/0708006
Continuous pole placement for delay equations, Automatica, vol.38, issue.5, pp.747-761, 2002. ,
DOI : 10.1016/S0005-1098(01)00257-6
URL : http://www.cs.kuleuven.ac.be/~wimm/verslag/automatica2002.pdf
Stability, Control, and Computation for Time-Delay Systems: An Eigenvalue Based Approach Advances in Design and Control, 2014. ,
DOI : 10.1137/1.9781611973631
Nonlinear eigenvalue problems: Newton-type methods and nonlinear Rayleigh functionals, 2008. ,
Multiparameter stability theory with mechanical applications , volume 13 of Series on Stability, Vibration and Control of Systems, World Scientific, 2003. ,
A survey of the quadratic eigenvalue problem, SIAM Review, vol.43, 2000. ,
A nonsmooth optimization approach for the stabilization of linear time-delay systems. ESAIM: Control, Optimisation and Calcalus of Variations, pp.478-493, 2008. ,
Nonlinear eigenvalue problems Handbook of Linear Algebra, chapter 60, 2014. ,
An algorithm for computing Jordan chains and inverting analytic matrix functions, Linear Algebra and its Applications, vol.427, issue.1, pp.6-25, 2007. ,
DOI : 10.1016/j.laa.2007.06.012
Reliably computing all characteristic roots of delay differential equations in a given right half plane using a spectral method, Journal of Computational and Applied Mathematics, vol.236, issue.9, pp.2499-2514, 2012. ,
DOI : 10.1016/j.cam.2011.12.009