Catherine Bonnet

Publications of Catherine Bonnet 

International journals

A. Benarab, I.Boussaada, K.Trabelsi, C. Bonnet
Multiplicity-Induced-Dominancy property for second-order neutral differential equations 
with application in oscillation damping,
European Journal of Control, (2022) in press. pdf

D. Ma, I. Boussaada, J. Chen, C. Bonnet, S-I Niculescu, J. Chen,
PID Control Design for First-Order Delay Systems via MID Pole Placement: Performance vs. Robustness,
Automatica, 137 (2022) 102-110. pdf

C. Bonnet, J.R. Partington,
L_2 and BIBO stability of systems with variable delays,
Systems and Control Letters,  (2020). pdf

C. Cardeliquio, A. Fioravanti, C. Bonnet, S-I Niculescu
Stability and Stabilisation Through Envelopes for Retarded and Neutral Time-Delay Systems
IEEE Transactions on Automatic Control, 65 (4) (2019)  pp.1640-1646. pdf

W. Djema, C. Bonnet, F. Mazenc, J. Clairambault, E. Fridman, P. Hirsch and F. Delhommeau, 
Control in dormancy or eradication of cancer stem cells: Mathematical modeling and stability issues, 
Journal of Theoretical Biology, 449 (2018) 103-123. pdf

L.H.V Nguyen and C. Bonnet, 
Stabilisation of MISO fractional systems with delays,
Automatica, Vol 83 (2017) 337-344. pdf

W. Djema, F. Mazenc and C. Bonnet, 
Stability analysis and robustness results for a Nonlinear System with distributed delays describing hematopoiesis, 
Systems and Control Letters, Vol 102 (2017) 93-101. pdf

L.H.V. Nguyen, C. Bonnet and A.F. Fioravanti, 
H-stability analysis of fractional delay systems of neutral type,
SIAM J. Control and Optimization, Vol 54, N.2, (2016), 740-759. pdf                                                                             

E. Fridman, C. Bonnet, F. Mazenc and W. Djema, 
Stability of Cell Dynamics in Acute Myeloid Leukemia, 
Systems and Control Letters , Vol 88, 91-100, 2016. pdf

A. Fioravanti, C. Bonnet, H. Ozbay and S.-I. Niculescu, 
A numerical method for stability windows and unstable roor-locus calculation
for linear fractional time-delay systems, 
Automatica , vol 48, 2824-2830, 2012. 

H.Ozbay, C. Bonnet, H. Benjelloun, and J. Clairambault,
Stability Analysis of Cell Dynamics in Leukemia, 
Mathematical Modelling of Natural Phenomena,  7, No.~1, (2012) p.~203--234. 

H.Ozbay, C. Bonnet and A. Fioravanti, 
PID Controller Design for Fractional-Order Systems with Time Delays, 
Systems and Control Letters , Vol 61, n.1, (2012) p. 18-23. 

C. Bonnet, A. Fioravanti and J.R. Partington,
Stability of neutral systems with multiple delays and poles asymptotic
to the imaginary axis, 
SIAM.J. Control and Optimization , Vol 49, n.2 (2011) pp 498-516. 

C. Bonnet and J.R. Partington,
Stabilization of some fractional delay systems of neutral type, 
Automatica , 43 (2007), 2047-2053. 

J.R. Partington and C. Bonnet, 
H and BIBO stabilization of delay systems of neutral type,
Systems and Control Letters, 52 (2004), 283-288. 

C. Bonnet, J.R. Partington and M. Sorine,
A modified matching pursuit algorithm applied to the approximation 
of vecto-cardiogram data, 
Internat. J. Pure Appl. Math., 15 (2004), 25-35.

C. Bonnet and J.R. Partington,
Analysis of fractional delay systems of retarded and neutral type,
Automatica, 38 (2002), 1133-1138.

C. Bonnet and J.R. Partington,
Stabilization of fractional exponential systems including delays,
Kybernetika, 37 (2001), 345-353. 

C. Bonnet and J.R. Partington,
Coprime factorizations and stability of fractional differential systems, 
Systems and Control Letters, 41 (2000), 167-174.

C. Bonnet, J.R. Partington and M. Sorine,
Robust stabilization of a delay system with saturating actuator or sensor,
Int. J. Robust Nonlin. Control, 10 (2000), 579-590. 

C. Bonnet, J.R. Partington and M. Sorine,
Digital phase-locked loops tracked by a relay sensor, 
I.E.E.E. Trans. Communications, 47 (1999), 667-669. 

C. Bonnet, J.R. Partington and M. Sorine,
Robust control and tracking of a delay system with discontinuous
nonlinearity in the feedback, 
Int. J. Control, 72 (1999), 1354-1364. 

C. Bonnet and J.R. Partington, 
Bézout factors and L¹-optimal controllers for delay systems
using a two-parameter compensator scheme,
I.E.E.E. Trans. Automat. Control, 44 (1999), 1512-1521.  

C. Bonnet and J.R. Partington, 
Robust stabilization in the BIBO gap topology,
Int. J. Robust Nonlin. Control, 7 (1997), 429-447. 

C. Bonnet, 
Convergence and rate of convergence of the balanced realization truncations 
for infinite-dimensional discrete-time systems,
Systems and Control Letters, 20 (1993), 353-359.

C. Bonnet,
A L-convergent  method to reduce frequency weighted
infinite-dimensional discrete-time systems, 
Systems and Control Letters, 21 (1993),  443-450.



Book chapters

L.H.V Nguyen and C.Bonnet, 
Stabilization of some fractional neutral delay systems which possess an infinite number of unstable poles, 
Advances in Delay and Dynamics, Springer, 2014.

J.L Avila Alonso, C.Bonnet, J. Clairambault, H. Ozbay, S.I Niculescu, F. Merhi, A. Ballesta, R. Tang, J.P Marie, 
Analysis of a new model of cell population dynamics in Acute Myeloid Leukemia,
Advances in Delay and Dynamics, Springer, pp 315-328, 2014.

D. Avanessoff, A.R. Fioravanti, C. Bonnet and L.H.V Nguyen,
H-stability analysis of (fractional) delay systems of retarded and neutral type using the Matlab Toolbox YALTA,
Advances in Delay and Dynamics, Springer, Vol 1, pp 285-297, 2014.

H. Ozbay, C. Bonnet, H. Benjelloun, and J. Clairambault, 
Local Asymptotic Stability Conditions for the positive equilibrium of a
System Lodeling Cell Dynamics in Leukemia, 
Lecture notes in Control and Information Sciences, Time Delay Systems - Methods,
Applications and New Trends, p 195-205, Springer, 2012.

M.M. Peet, C. Bonnet and H. Ozbay, 
SOS Methods for Stability Analysis of Neutral Differential Systems, 
Topics in Time Delay Systems Analysis, Algorithms, and Control, 
Lectures Notes in Control and Information Sciences, Topics in Time-delay systems, Analysis, Algorithms and Control, 
p 97-107 Springer  Verlag, 2009.

M. Di Loreto, C. Bonnet and J. J Loiseau,
Stabilization of neutral time-delay systems, 
Topics in Time Delay Systems Analysis, Algorithms, and Control, 
Lectures Notes in Control and Information Sciences, Topics in Time-delay systems, Analysis, Algorithms and Control, 
p 209-219, Springer Verlag, 2009.

C. Bonnet and J.R. Partington, 
Robust stability analysis of various classes of delay systems, 
in S.I. Niculescu and K. Gu: Advances in time-delay systems, Lectures Notes
in Control and Information Sciences Springer-Verlag, 245-256, 2004.  

C. Bonnet, 
Approximation of infinite dimensional discrete time linear
systems via balanced realizations and an application to fractional
filters,  Lectures Notes in Control and Information Sciences 185, 10th
International Conference on Analysis and Optimization of Systems ,
574-584, 1993.   


National journals

C. Bonnet, 
Une méthode L-convergente pour la réduction
de  systèmes discrets de dimension infinie postfiltrés,  Comptes 
Rendus de l'Académie des Sciences (Automatique théorique), t.316,
Série I (1993),  1103-1106.

C. Bonnet,
Réduction de systèmes linéaires  discrets de dimension infinie :
étude de filtres fractionnaires,  RAIRO
Automat. Prod. Inform. Ind. (Théorie des systèmes et théorie de
la commande) , vol 26, n. 5-6 (1992), 399-422. 

C. Bonnet and C. Deniau
Réduction dans la base d'équilibre de systèmes
linéaires  à temps discret de dimension infinie : le cas des
systèmes nucléaires,  Comptes Rendus de l'Académie des
Sciences (Automatique théorique/ Analyse Mathématique) , t. 314, 
Série I (1992), 871-874. 

International Conferences with selection panels

H. Cavalera, J.Raj, G.Mazanti, C. Bonnet,
YALTAPy and YALTAPy_Online: Python toolboxes for the H∞-stability analysis of classical and fractional systems with commensurate delays, 17th IFAC Workshop on Time Delay Systems, Montréal, Canada, 2022.

I. Boussaada, D. Ma, J. Chen, C.Bonnet, S-I Niculescu, J. Chen, 
Insights on Pole-Placement of Dynamical Systems by PID Control with Guaranteed Delay Robustness, The 16th IFAC Workshop on Time Delay Systems, Guangzhou, China, pp 115-120, 2021.

Y. Yamamoto, C.Bonnet,
Bézout Identity in Pseudoratoinal Transfer Functions, MTNS 2020 – 24th International Symposium on Mathematical Theory of Networks and Systems, Cambridge, United Kingdom, 2021.

A. Benarab, I. Boussaada, C. Bonnet, K. Trabelsi, G. Mazanti
The MID property for a second-order neutral time-delay differential equation, 24th International Conference on System Theory, Control and Computing, Sinaia, Romania, 2020.

D. Ma, I. Boussaada, C. Bonnet, S-I Niculescu, J. Chen,
Multiplicity-Induced-Dominancy extended to neutral delay equations: Towards a systematic PID tuning based on Rightmost root assignment, ACC 2020 – American Control Conference, Denver, CO, United States, 2020.

V. Nguyen, C. Bonnet, I. Boussaada, M. Souaiby,
A problematic issue in the Walton-Marshall method for some neutral delay systems, CDC 2019 – 58th Conference on Decision and Control, Nice, France, 2019.

C. Bonnet, J.R. Partington,
L2 and BIBO-stability of systems with variable delays, 15th IFAC Workshop on Time Delay Systems, Sinaia, Romania, 2019. 

W. Djema, C. Bonnet, F. Mazenc and J. Clairambault, Introducing Cell Plasticity Mechanisms into a class of Cell
Population Dynamical System, ACC, Milwaukee, USA, 2018.

W. Djema, F. Mazenc, C. Bonnet, J. Clairambault and E. Fridman,
Stability Analysis of a Nonlinear System with
Infinite Distributed Delays describing Cell Dynamics, ACC, Milwaukee, USA, 2018.

C. Cardeliquio, A. Fioravanti, C. Bonnet, S. Niculescu,
Stability and robust stabilization through envelopes for retarded
Time-Delay Systems, joint 9th IFAC Symposium on Robust Control Design and 2nd Workshop on Linear Parameter
Varying System, Florianopolis, Brazil, 2018.

W. Djema, C. Bonnet, J. Clairambault,  F. Mazenc, P. Hirsch and F. Delhommeau, 
Analysis of a model of dormancy in Cancer as a state of co-existence between tumour and healthy stem cells, 
ACC 2017, Seattle, USA, 2017.

W. Djema, H.Ozbay, C. Bonnet, E. Fridman, F. Mazenc and J. Clairambault
Analysis of blood cell production under growth factor switching, IFAC World Congress, Toulouse France, July 2017.

C. Bonnet and Y. Yamamoto, 
Coprimness of fractional representations, 
55th IEEE International Conference on Decision and Control, Las Vegas, USA, decembre 2016.

W. Djema, F. Mazenc and C. Bonnet, 
Stability of immature cell dynamics in healthy and unhealthy hematopoiesis, 
2016 American Control Conference, Boston, July 2016.

W. Djema, F. Mazenc and C. Bonnet, 
Stability of a Delay System Coupled to a Differential-Difference System Describing the Coexistence of Ordinary and Mutated Hematopoietic Stem Cells, 
55th IEEE International Conference on Decision and Control, Las Vegas, USA, decembre 2016.

C. Bonnet and Y. Yamamoto, 
Stability of some neutral Delay Systems with Chains of Poles Clustering the imaginary axis, 
Mathamatical Theory of networks and systems, MTNS16, Minneapolis, USA, July 2016.

W. Djema, F. Mazenc and C. Bonnet,  
Analysis of a Nonlinear Delay Differential-Difference Biological Model, 
IFAC Time Delay Systems, Istambul, Turkey, June 2016.

W. Djema, F. Mazenc and C. Bonnet, 
Stability Analysis of a Differential-Difference System through a Lyapunov Functional Design, 
the 5th International Symposium on Positive systems, Roma, Italy, September 2016.

L.H.V.  Nguyen, C. Bonnet, 
Hinfty-stability analysis of various classes of neutral time-delay systems with chains of poles approching the imaginary axis, 
54th IEEE Conference on Decision and Control, Osaka, Japan, December 2015.

W. Djema, F. Mazenc and C. Bonnet,  
Lyapunov Stability Analysis of a Model Describing Hematopoiesis, 
European Control Conference, Linz, Austria, 2015.

J.L. Avila Alonso, C. Bonnet, E. Fridman, Mazenc and J. Clairambault, 
Stability analysis of PDE's modelling cell dynamics in Acute Myeloid Leukemia, 
53rd IEEE Conference on Decision and Control, Los Angeles, USA, December 2014.

D. Avanessoff, A.R. Fioravanti and C. Bonnet, 
YALTA : a Matlab Tollbox for the H-stability analysis of classical and fractional systems with commensurate delays,
Joint IFAC Meeting SSSC2013 FDA2013 and TDS2013, Grenoble France, February 2013.  

L.H.V Nguyen, A. Fioravanti and C. Bonnet, 
Analysis of neutral systems with commensurate delays and many chains
of poles 
asymptotic to the same points on the imaginary axis,   
IFAC TDS 2012, Boston, 22-24 june 2012, accepted.  

L.H.V Nguyen and C. Bonnet, Coprime factorizations of MISO 
fractional time-delay systems, 
MTNS12, 20th International Symposium on Mathematical Theory of
Networks and Systems, 9-13 July 2012, accepted.  

A. Fioravanti, C. Bonnet, H. Ozbay and S.-I. Niculescu,
Stability windows and unstable root-loci for linear fractional time-delay
systems, 
IFAC World Congress, Milano, Italy, 28 august - 2 sept 2011.

A. Fioravanti, C. Bonnet, H. Ozbay and S.-I. Niculescu, 
A numerical method to find stability windows and unstable poles for
linear neutral time-delay systems, 
IFAC TDS 2010 Prague, June 7 - 9 2010.

H. Ozbay, H. Benjelloun, C. Bonnet and J. Clairambault, 
Absolute Stability of a System with Distributed Delays Modeling Cell Dynamics
in Leukemia, 
MTNS2010, Budapest, Hongary,  5-9 July 2010.

H. Ozbay, H. Benjelloun, C. Bonnet and J. Clairambault, 
Stability Conditions for a System Modeling Cell Dynamics in Leukemia, 
IFAC TDS 2010  Prague,  June 7 - 9, 2010.

C. Bonnet, A. Fioravanti and J.R. Partington,
Stability of neutral systems with multiple delays and poles asymptotic to
the imaginary axis, 
CDC 09, Shanghai 16 - 18 December 2009.

H.Ozbay, C. Bonnet and A. Fioravanti, PID
Controller Design for Unstable 
Fractional-Order Systems with Time Delays: A
Small Gain Based Approach,  
Fes2009, Fes, Maroc, 24-28 may 2009.

C. Bonnet, A. Fioravanti and J.R. Partington, 
On the stability of neutral linear systems with multiple
commensurate delays,
Conference on Distributed Parameter Systems, Toulouse july 2009.

C.-I Morarescu, A. Fioravanti, S.-I. Niculescu and  C. Bonnet, 
Stability crossing curves of linear 
systems with shifted fractional  $\gamma$-distributed delays, 
IFAC TDS'09, SINAIA September 1-3, 2009.

H. Ozbay, C. Bonnet and J. Clairambault, 
Stability Analysis of Systems with Distributed Delays and Application to
Hematopoietic Cell Maturation Dynamics, 
CDC 08 Cancun, Mexico 9-11 December 2008.

C. Bonnet and M. M. Peet,
Using the positivstellensatz for stability analysis of neutral
delay systems in the frequency domain, 
IFAC TDS 07, Nantes, France, Sept. 2007.

M. M. Peet et C. Bonnet,
Stability and computation of roots in delayed systems of the neutral type,
Conference on Distributed Parameter Systems, 
Namur, Belgium, July 2007.

C. Bonnet and J. R. Partington, Stabilization of fractional delay systems
of neutral type with single delay, Conference of Distributed Parameter
Systems, Namur, Belgium, July 2007. 

C. Bonnet and J.R. Partington, 
PID stabilization of SISO delay systems and robust stabilization of
systems with multiple transmission delays, MTNS04, Leuven, july 5-9 2004.

C. Bonnet and J.R. Partington, 
Stabilization of fractional exponential systems including
delays, IFAC Workshop on Linear Time Delay Systems  (LTDS2000), Ancona,
Italy, September 11-13, 2000. 

C. Bonnet and J.R. Partington,
Stabilization and nuclearity of fractional differential systems, MTNS-2000,
Perpignan, France, june 2000.

C. Bonnet, J.R. Partington and M. Sorine,
Robust control and tracking in L of delay systems equipped with a relay sensor,
in N.T. Koussoulas and P. Groumpos: Large Scale Systems: Theory and
Applications 1998 (LSS '98), vol. 1, Pergamon (1999), 431-434.  

C. Bonnet, J.R. Partington and M. Sorine,
Robust control and tracking in $L_\infty$ of delay systems equipped with a
relay sensor, LSS'98, 8th IFAC symposium, 430-433, July 15-17, 1998. 

C. Bonnet, J.R. Partington and M. Sorine,
Robust stabilizing controllers for delay systems with saturation in the
feedback, proceedings of the MTNS-98 symposium, 93-96, Padova, Italy, july
6-10, 1998.  

C. Bonnet and J.R. Partington, 
Robust BIBO-stabilization - Control of a delayed integrator, MTNS, St
Louis, Missouri, june 96. 

C. Bonnet, 
Approximation of infinite dimensional discrete time linear
systems via balanced realizations and an application to fractional filters,
10th International Conference on Analysis and Optimization of Systems,
Sophia-Antipolis, France, June 9-12, 1992. 


Papers in non scientific journals

C. Bonnet,
Stabilité des équations différentielles linéaires à
retard et fractionnaires, femmes et math, n. 6, pp 16-26, 2002.


Internal publications

C. Bonnet and J.R. Partington,
Stabilization of a class of Delay Systems using PI methods,
rapport de recherche INRIA RR-5583, may 2005.

C. Bonnet, J.R. Partington and M. Sorine,
A vectorial Matching Pursuit algorithm 
with an application to the analysis of Vecto-cardiogram signals, rapport
de recherche INRIA, RR-4535, septembre 2002. 

C. Bonnet and J.R. Partington,
Bézout factors and L_1-Optimal controllers for delay
systems using a two-parameter compensator scheme, rapport de recherche
INRIA, n. 3023, 1996. 

C. Bonnet,
Réduction de systèmes linéaires discrets de dimension
infinie : étude de filtres fractionnaires, rapport de recherche MAIUP
n. 91-02, février 1991.

C. Bonnet, C.~Deniau and G.~Oppenheim,
Problèmes énergétiques et construction de modèles
réduits 
de systèmes complexes (introduction à la dimension infinie), rapport
interne Aérospatiale n.21/003919,  
octobre 1990.

C. Bonnet, C. Deniau and G. Oppenheim,
Réduction de systèmes et base d'équilibre, rapport interne
Aérospatiale, février 1990.

C. Bonnet,
Les ondelettes et une application aux lois de commande du
pas des pales d'un hélicoptère, rapport de recherche MAIUP n.  89-03,
février 1989. 

C. Bonnet,
Les ondelettes, rapport interne Aréospatiale, février
1989. 

C. Bonnet,
Commande individuelle active des pales du rotor d'un
hélicoptère. Détermination d'un modèle simplifié du modèle rotor 
R85, rapport interne Aérospatiale, février 1988.
Catherine Bonnet

Research interests

Publications of Catherine Bonnet

Useful links

Softwares
