Bibliography
Major publications by the team in recent years
-
1C. Bonnet, J. Partington.
Analysis of fractional delay systems of retarded and neutral type, in: Automatica, 2002, vol. 38, p. 1133–1138. -
2C. Bonnet, J. Partington.
Stabilization of some fractional delay systems of neutral type, in: Automatica, 2007, vol. 43, p. 2047–2053. -
3M. Malisoff, F. Mazenc.
Constructions of Strict Lyapunov Functions, Communications and Control Engineering Series, Springer-Verlag London Ltd., 2009. -
4F. Mazenc, P. Bliman.
Backstepping design for time-delay nonlinear systems, in: IEEE Transactions on Automatic Control, January 2006, vol. 51, no 1, p. 149–154. -
5W. Michiels, S.-I. Niculescu.
Stability and Stabilization of Time-Delay Systems. An Eigenvalue-Based Approach, Advances in Design and Control, SIAM: Philadelphia, 2007, vol. 12. -
6S.-I. Niculescu.
Delay Effects on Stability: a Robust Control Approach, Lecture Notes in Control and Information Sciences, Springer, 2001, vol. 269. -
7S. Olaru, D. Dumur.
Avoiding constraints redundancy in predictive control optimization routines, in: IEEE Trans. Automat. Control, 2005, vol. 50, no 9, p. 1459–1465. -
8A. Quadrat.
The fractional representation approach to synthesis problems: an algebraic analysis viewpoint. Part I: (Weakly) doubly coprime factorizations, Part II: Internal stabilization, in: SIAM J. Control & Optimization, 2003, vol. 42, no 1, p. 266–299, 300–320. -
9A. Quadrat.
On a general structure of the stabilizing controllers based on stable range, in: SIAM J. Control & Optimization, 2004, vol. 42, no 6, p. 2264–2285. -
10G. Sandou.
Particle swarm optimization: an efficient tool for the design of automatic control law, in: European Control Conference, Budapest, Hungary, August 23rd-26th 2009.
Doctoral Dissertations and Habilitation Theses
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11A. Fioravanti.
-analysis and control of time-delay systems by methods in frequency domain, University of Paris-Sud, June 2011. -
12S. Olaru.
La commande des systèmes dynamiques sous contrainte. Interaction optimisation-géométrie-commande, Universitu of Paris-Sud, May 2011, Habilitation à diriger des recherches.
Articles in International Peer-Reviewed Journal
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13W. Aggoune, I.-C. Morărescu, S.-I. Niculescu.
On vehicle following control systems with delays, in: Mathematical Reports, 2011, vol. 13 (63), no 3, p. 1-14. -
14C. Bonnet, A. Fioravanti, J. Partington.
Stability of Neutral Systems with Commensurate Delays and Poles Asymptotic to the Imaginary Axis, in: SIAM Journal on Control and Optimization, 2011, vol. 49, no 2, p. 498-516. -
15H. Borsenberger, P. Dessante, G. Sandou.
Unit Commitment with production cost uncertainty: a recourse programming method, in: Journal of Energy and Power Engineering, 2011, vol. 5, p. 164-172. -
16J. Cheong, S.-I. Niculescu, F. Mazenc.
Predictor-Corrector Type Multi-Rate Sample Hold for Continuous Estimated Outputs, in: IEEE Transactions on Automatic Control, 2011, Accepted. -
17T. Cluzeau, A. Quadrat.
Serre's reduction of linear partial differential systems with holonomic adjoints, in: Journal of Symbolic Computation, 2011, to appear. -
18A. Fioravanti, C. Bonnet, H. Ozbay, S.-I. Niculescu.
A numerical method for stability windows and unstable root-locus calculation for linear fractional time-delay systems, in: Automatica, 2012, to appear. -
19A. Gonçalves, A. Fioravanti, J. Geromel.
Filtering of Discrete-Time Markov Jump Linear Systems with Uncertain Transition Probabilities, in: International Journal of Robust and Nonlinear Control, April 2011, vol. 21, no 6, p. 613-624. -
20A. Gruszka, M. Malisoff, F. Mazenc.
Tracking Control and Robustness Analysis for PVTOL Aircraft under Bounded Feedbacks, in: International Journal of Robust and Nonlinear Control, 2011, Accepted. -
21I. Ilker Delice, S.-I. Niculescu, R. Sipahi, N. Olgac.
On the computation of critical eigenvalues of systems with a single delay, in: IET Control Theory & Applications, 2011, to appear. -
22R. Korogui, A. Fioravanti, J. Geromel.
On a Rational Transfer Function-Based Approach to Filtering Design for Time-Delay Linear Systems, in: IEEE Transactions on Signal Processing, March 2011, vol. 59, no 3, p. 979-988. -
23R. Korogui, A. Fioravanti, J. Geromel.
PID Controller Design for Fractional-Order Systems with Time Delays, in: European Journal of Control, 2012, To appear. -
24M. Malisoff, F. Mazenc, F. Zhang.
Stability and Robustness Analysis for Curve Tracking Control using Input-to-State Stability, in: IEEE Transactions on Automatic Control, 2011, Accepted. -
25F. Mazenc, O. Bernard.
Interval observers for linear time-invariant systems with disturbances, in: Automatica, January 2011, vol. 47, no 1, p. 140-147. [ DOI : 10.1016/j.automatica.2010.10.019 ]
http://hal. inria. fr/ hal-00555464/ en -
26F. Mazenc, P. Kim, S.-I. Niculescu.
Stability of an Imatinib and Immune Model with Delays, in: IMA Journal of Mathematical Control and Information, 2011, Accepted. -
27F. Mazenc, M. Malisoff, M. De Queiroz.
Tracking control and robustness analysis for a nonlinear model of human heart rate during exercice, in: Automatica, 2011, vol. 47, no 5, p. 968-974.
http://hal. inria. fr/ hal-00555527/ en -
28F. Mazenc, M. Malisoff, M. De Queiroz.
Uniform Global Asymptotic Stability of Adaptive Cascaded Nonlinear Systems with Unknown High-Frequency Gains, in: Nonlinear Analysis, February 2011, vol. 74, no 4, p. 1132-1145.
http://hal. inria. fr/ hal-00555488/ en -
29F. Mazenc, M. Malisoff.
Discussion on On a small gain theorem for ISS networks in dissipative Lyapunov form, in: European Journal of Control, 2011, vol. 17, no 4, p. 367-368. -
30F. Mazenc, S.-I. Niculescu, M. Bekaik.
Backstepping for nonlinear systems with delay in the input revisited, in: SIAM Journal on Control and Optimization, 2011, vol. 49, no 6. -
31F. Mazenc, S.-I. Niculescu, O. Bernard.
Exponentially Stable Interval Observers for Linear Systems with Delay, in: SIAM Journal on Control and Optimization, 2011, Accepted. -
32F. Mazenc, S.-I. Niculescu.
Generating Positive and Stable Solutions through Delayed State Feedback, in: Automatica, 2011, vol. 47, no 3, p. 525-533.
http://hal. inria. fr/ hal-00555497/ en -
33F. Mazenc, C. Prieur.
Strict Lyapunov functions for semilinear parabolic partial differential equations, in: Mathematical Control and Related Fields, 2011, vol. 1, no 2, p. 231-250.
http://hal. inria. fr/ hal-00599068/ en -
34I.-C. Morărescu, S.-I. Niculescu, K. Gu.
The geometry of stability crossing curves of PI controllers for SISO systems with I/O delays, in: Revue Roumaine des Mathématiques Pures et Appliquées, 2011, vol. 55, no 4, p. 297-313. -
35H. Ozbay, C. Bonnet, H. Benjelloun, J. Clairambault.
Stability Analysis of Cell Dynamics in Leukemia, in: Mathematical Modelling of Natural Phenomena, January 2012. -
36H. Ozbay, C. Bonnet, A. Fioravanti.
PID Controller Design for Fractional-Order Systems with Time Delays, in: Systems and Control Letters, January 2012, vol. 61, no 1, p. 18-23. -
37T. Sari, F. Mazenc.
Global dynamics of the chemostat with different removal rates and variable yields, in: Mathematical Biosciences and Engineering, MBE, 2011, vol. 8, no 3, p. 827-840. -
38F. Scibilia, S. Olaru, M. Hovd.
On feasible sets for MPC and their approximations, in: Automatica, 2011, vol. 47, no 1, p. 133 – 139. -
39R. Sipahi, S.-I. Niculescu, C. Abdallah, W. Michiels, K. Gu.
Stability and stabilization of systems with time-delay, in: IEEE Control Systems Magazine, 2011, vol. 31, no 1, p. 38-65. -
40L. Vanneschi, Y. Pirola, G. Mauri, P. Collard, S. Verel.
A Study of Neutrality of Boolean Function Landscapes in Genetic Programming, in: Journal of Theoretical Computer Science (TCS), July 2011, p. 50 – 68.
http://hal. inria. fr/ hal-00563462/ en -
41L. de Cicco, S. Mascolo, S.-I. Niculescu.
Robust stability analysis of Smith predictor-based congestion control algorithms for computer networks, in: Automatica, 2011, vol. 47, no 8, p. 1685-1692.
International Conferences with Proceedings
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42I. Boussada, H. Mounier, S.-I. Niculescu, A. Çela, I. Cyril, K. Trabelsi.
Dynamics analysis of a drillstring model, in: SIAM Conference on Control and Its Applications (CTA), Baltimore, USA, July 2011. -
43S. Caliskan, H. Ozbay, S.-I. Niculescu.
Stability analysis of switched systems using Lyapunov-Krasovskii functionals, in: Proceedings of 18th IFAC World Congress, Milan, Italy, August 2011. -
44A. Chakhar, T. Cluzeau, A. Quadrat.
An algebraic analysis approach to certain classes of nonlinear partial differential systems, in: Proceedings of 7th International Workshop on Multidimensional Systems (nDS'11, Poitiers, 05-07/09), 2011. -
45T. Cluzeau, A. Quadrat.
A constructive version of Fitting's theorem on isomorphisms and equivalences of linear systems, in: Proceedings of 7th International Workshop on Multidimensional Systems (nDS'11), Poitiers, nDS'11, 05-07/09 2011. -
46A. Fioravanti, C. Bonnet, S.-I. Niculescu, J. Geromel.
Matrix Norm Approach for Control of Linear Time-Delay Systems, in: 50th IEEE Conference on decision and control and European Control Conference, December 2011. -
47A. Fioravanti, C. Bonnet, H. Ozbay, S.-I. Niculescu.
Stability windows and unstable root-loci for linear fractional time-delay systems, in: 18th IFAC World Congress (IFAC WC 2011, Milan, Italy, august 2011. -
48A. Fioravanti, A. Gonçalves, J. Geromel.
Filter inputs with markovian lossy links: zero or hold?, in: 9th IEEE International Conference on Control and Automation, Santiago, Chile, december 2011. -
49A. Fioravanti, A. Gonçalves, J. Geromel.
State Feedback Control of Discrete-time Markov Jump Linear Systems through Linear Matrix Inequalities, in: 18th IFAC World Congress (IFAC WC 2011), Milan, Italy, august 2011. -
50M. Geamănu, H. Mounier, A. Çela, S.-I. Niculescu, G. Le-Solliec.
Road condition estimation and longitudinal control for an electric vehicle, in: Proceedings of IEEE 11th 11th International Conference on Control, Automation and Systems (ICCAS 2011), Gyeonggi-do, South-Korea, October 2011. -
51A. Gruszka, M. Malisoff, F. Mazenc.
On Tracking for the PVTOL Model with Bounded Feedbacks, in: 2011 American Control Conference, San Francisco, USA, July 2011, p. 1428-1433. -
52B. Haiman, G. Sandou.
Some problems handled by Particle Swarm Optimization in automatic control, in: International Conference on Evolutionary Computation Theory and Applications, 2011. -
53B. M. Heiman, G. Sandou.
Ant Colony Optimization for the Identification of Nonlinear Functions with Unknown Structures, in: Artificial Evolution, 2011. -
54R. Korogui, A. Fioravanti, J. Geromel.
Output Feedback for Time-Delay Linear Systems: a Rational Transfer Function Based Approach, in: 50th IEEE Conference on decision and control and European Control Conference, Orlando, USA, December 2011. -
55A. Korporal, G. Regensburger, M. Rosenkranz.
Regular and Singular Boundary Problems in Maple, in: Computer Algebra in Scientific Computing. Proceedings of the 13th International Workshop (CASC 2011), Berlin / Heidelberg, V. Gerdt, W. Koepf, E. Mayr, E. Vorozhtsov (editors), Lecture Notes in Comput. Sci., Springer, 2011, vol. 6885, p. 280–293.
http://dx. doi. org/ 10. 1007/ 978-3-642-23568-9_22 -
56X.-G. Li, W. Jiang, A. Çela, S.-I. Niculescu.
On the optimal design of hold-zero control for networked control systems with control missing, in: Proceedings of 2011 IEEE Multi-Conference on Systems and Control (MSC'11), Denver, USA, September 2011. -
57X.-G. Li, H.-G. Zhang, A. Çela, S.-I. Niculescu.
On the stability analysis of sampled-data control systems: A combined continuous-time and discrete-time method, in: Proceedings of 2011 IEEE International Conference on Communications, Computing and Control Applications (CCCA'11), Hammamet, Tunisia, March 2011. -
58B. Liacu, I. Morărescu, C. Andriot, S.-I. Niculescu, D. Dumur, P. Boucher, F. Colledani.
Some remarks on the fragility of Smith predictors used in haptics, in: Proceedings of IEEE 11th 11th International Conference on Control, Automation and Systems (ICCAS 2011), Gyeonggi-do, South-Korea, October 2011. -
59W. Lombardi, S. Olaru, M. Lazar, G. Bitsoris, S.-I. Niculescu.
On the polyhedral set-invariance conditions for time-delay systems, in: Proceedings of 18th IFAC World Congress, Milan, Italy, August 2011. -
60W. Lombardi, S. Olaru, M. Lazar, S.-I. Niculescu.
On positive invariance for delay difference equations, in: Proceedings of 2011 American Control Conference, San Francisco, USA, July 2011. -
61M. Malisoff, F. Mazenc, F. Zhang.
Input-to-State Stability for Curve Tracking Control: A Constructive Approach, in: 2011 American Control Conference, San Francisco, USA, July 2011, p. 1984-1989. -
62F. Mazenc, M. Malisoff.
On Stability and Stabilization for Chemostats with Many Limiting Nutrients, in: 50th IEEE Conference on decision and control and European Control Conference, Orlando, USA, December 2011. -
63F. Mazenc, S.-I. Niculescu, M. Bekaik.
Stabilization of nonlinear systems with delay in the input through backstepping, in: 50th IEEE Conference on decision and control and European Control Conference, Orlando, USA, December 2011. -
64F. Mazenc, C. Prieur.
ISS Lyapunov functions for time-varying hyperbolic partial differential equations, in: 50th IEEE Conference on decision and control and European Control Conference, Orlando, USA, December 2011. -
65F. Mazenc, C. Prieur.
Strict Lyapunov functionals for nonlinear parabolic partial differential equations, in: 18th IFAC World Congress (IFAC WC 2011), Milan, Italy, August 2011.
http://hal. inria. fr/ hal-00573988/ en -
66I.-C. Morărescu, F. Mendez-Barrios, S.-I. Niculescu, K. Gu.
Stability crossing boundaries and fragility characterization of PID controllers for SISO systems with I/O delays, in: Proceedings of 2011 American Control Conference, San Francisco, USA, July 2011. -
67H. Nguyen, P. Gutman, S. Olaru, M. Hovd, F. Colledani.
Improved vertex control for time-varying and uncertain linear discrete-time systems with control and state constraints, in: American Control Conference (ACC), IEEE, 2011, p. 4386–4391. -
68H. Nguyen, P. Gutman, S. Olaru, M. Hovd.
Explicit constraint control based on interpolation techniques for time-varying and uncertain linear discrete-time systems, in: Proceedings of the 18th IFAC World Congress, Milano, Italy, 2011. -
69H.-N. Nguyen, P.-O. Gutman, S. Olaru, M. Hovd.
An Interpolation Approach for Robust Constrained Output Feedback, in: 50th IEEE Conference on Decision and Control and 20th European Control Conference, 2011. -
70H.-N. Nguyen, S. Olaru, P.-O. Gutman, M. Hovd.
Constrained Interpolation-Based Control for Polytopic Uncertain Systems, in: 50th IEEE Conference on Decision and Control and 20th European Control Conference, 2011. -
71N. Nguyen, S. Olaru, P. Gutman, M. Hovd.
An interpolation approach for constrained output feedback, in: Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics (ICINCO), Noordwijkerhout, Pays-Bas, 2011. -
72N. Nguyen, S. Olaru, F. Stoican.
On maximal robustly positively invariant sets, in: Proceedings of the 8th International Conference on Informatics in Control, Automation and Robotics (ICINCO), Noordwijkerhout, Pays-Bas, 2011. -
73I. Prodan, S. Olaru, C. Stoica, S.-I. Niculescu.
On the limit behavior of multi-agent systems, in: Proceedings of 8th International Conference on Informatics in Control, Automation and Robotics (ICINCO), Noordwijkerhout, Netherlands, July 2011. -
74I. Prodan, S. Olaru, C. Stoica, S.-I. Niculescu.
Predictive control for tight group formation of multi-agent systems, in: Proceedings of 18th IFAC World Congress, Milan, Italy, August 2011. -
75I. Prodan, S. Olaru, C. Stoica, S.-I. Niculescu.
Predictive control for trajectory tracking and decentralized navigation of multi-agent formations, in: Proceeding of 2012 International Conference on Agents and Artificial Intelligence (ICART), Vilamoura, Portugal, February 2012. -
76A. Quadrat.
Equidimensional triangularization of multidimensional linear systems, in: Proceedings of 7th International Workshop on Multidimensional Systems (nDS'11), Poitiers, nDS'11, 05-07/09 2011. -
77A. Quadrat.
Purity filtration of multidimensional linear systems, in: Proceedings of 7th International Workshop on Multidimensional Systems (nDS'11), Poitiers, nDS'11, 05-07/09 2011. -
78N. Stankovic, S. Olaru, S.-I. Niculescu.
Further remarks on invariance properties of time-delay and switching systems, in: Proceedings of 8th International Conference on Informatics in Control, Automation and Robotics (ICINCO), Noordwijkerhout, Netherlands, July 2011. -
79N. Stankovic, S. Olaru, S.-I. Niculescu.
Further remarks on invariance properties of time-delay systems, in: Proceedings of the ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/MSNDC), Washington DC, USA, T. Kalmár-Nagy, S. Sinha, R. Sipahi, S. Lenci, August 2011. -
80F. Stoican, N. Minoiu Enache, S. Olaru.
A Lane Control Mechanism with Fault Tolerant Control Capabilities, in: 50th IEEE Conference on Decision and Control and 20th European Control Conference, 2011. -
81F. Stoican, S. Olaru, J. De Doná, M. Seron.
Zonotopic ultimate bounds for linear systems with bounded disturbances, in: IFAC World Congress, 2011, vol. 18, no 1, p. 9224–9229. -
82F. Stoican, I. Prodan, S. Olaru.
Enhancements on the Hyperplane Arrangements in Mixed Integer Techniques, in: 50th IEEE Conference on Decision and Control and 20th European Control Conference, 2011. -
83F. Stoican, I. Prodan, S. Olaru.
On the hyperplanes arrangements in mixed-integer techniques, in: American Control Conference (ACC), 2011, IEEE, 2011, p. 1898–1903. -
84F. Stoican, C. Raduinea, S. Olaru.
Adaptation of set theoretic methods to the fault detection of a wind turbine benchmark, in: Proceedings of the 18th IFAC World Congress, 2011, p. 8322–8327. -
85J. Wang, H. Mounier, A. Çela, S.-I. Niculescu.
Event driven intelligent PID controllers with applications to motion control, in: Proceedings of 18th IFAC World Congress, Milan, Italy, August 2011. -
86M. Yagoubi, G. Sandou.
Particle swarm Optimization for the design of static output feedbacks, in: 18th IFAC World Congress, 2011. -
87A. Çela, A. Hrazdira, A. Reama, R. Hamouche, S.-I. Niculescu, H. Mounier, R. Natowicz, R. Kocik.
Real time energy management algorithm for hybrid electric vehicle, in: Proceedings of 14th International IEEE Annual Conference on Intelligent Transportation Systems (ITSC), Washington DC, USA, October 2011.
Conferences without Proceedings
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88J. A. Alonso.
Mathematical Modeling of Acute Myeloid Leukemia, in: 4th Annual DIGITEO Forum, 4th Annual DIGITEO Forum, November 2011. -
89M. Barkatou, C. El Bacha, T. Cluzeau, A. Quadrat.
Monge parametrizations and integration of rectangular linear differential systems, in: MEGA 2011: Effective Methods in Algebraic Geometry, Stockholm, 30/05-03/06 2011.
Scientific Books (or Scientific Book chapters)
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90W. Lombardi, S. Olaru, S.-I. Niculescu.
Polytopic discrete-time models for systems with time-varying delays, in: Time delay systems. Methods, applications and new trends, Lecture Notes in Control and Information Sciences, Springer-Verlag, London, 2012, to appear. -
91I.-C. Morărescu, A. Girard, S.-I. Niculescu.
Consensus with constrained convergence rate and time-delays, in: Time delay systems. Methods, applications and new trends, Lecture Notes in Control and Information Sciences, Springer-Verlag, London, 2012, to appear. -
92S.-I. Niculescu, M. Putinar.
A toric positivstellensatz with applications to time delay systems, in: Comptes rendus de l'académie des sciences, I (série Mathématiques), Elsevier, 2011, vol. 349, p. 327-329. -
93H. Ozbay, C. Bonnet, H. Benjelloun, J. Clairambault.
Local Asymptotic Stability Conditions for the Poditive Equilibrium of a System modelling Cell Dynamics in Leukemia, in: Time delay systems. Methods, applications and new trends, Lecture Notes in Control and Information Sciences, Springer-Verlag, London, 2012, p. 195-205. -
94M. Rosenkranz, G. Regensburger, L. Tec, B. Buchberger.
Symbolic Analysis for Boundary Problems: From Rewriting to Parametrized Gröbner Bases, in: Numerical and Symbolic Scientific Computing: Progress and Prospects, Vienna, U. Langer, P. Paule (editors), Texts and Monographs in Symbolic Computation, SpringerWienNew York, Vienna, 2011, p. 273–331, 59 pages, to appear.
http://www. springer. com/ 978-3-7091-0793-5 -
95G. Sandou, S. Ighobriouen.
2, in: Using monobjective and multiobjective Particle Swarm Optimization for the tuning of process control laws, Particle Swarm Optimization: Theory, Techniques, Applications, 2011, p. 1–32. -
96R. Sipahi, T. Vyhlidal, S.-I. Niculescu, P. Pepe.
Time delay systems. Methods, applications and new trends, Lecture Notes in Control and Information Sciences, Springer-Verlag, London, 2012, to appear.
Internal Reports
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97A. Quadrat.
Grade filtration of linear functional systems, INRIA, October 2011, no RR-7769.
http://hal. inria. fr/ inria-00632281/ en
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98M. Adimy, F. Crauste, A. El Abdelaoui.
Discrete maturity-structured model of cell differentiaton with application to acute myeloid leukemia, in: J. Biological systems, 2008, vol. 16, no 3, p. 395–424. -
99H. Albrecher, C. Constantinescu, G. Pirsic, G. Regensburger, M. Rosenkranz.
An algebraic operator approach to the analysis of Gerber-Shiu functions, in: Insurance Math. Econom., 2010, vol. 46, p. 42–51.
http://dx. doi. org/ 10. 1016/ j. insmatheco. 2009. 02. 002 -
100V. V. Bavula.
The algebra of integro-differential operators on an affine line and its modules, 2010, 46 pages.
http://arxiv. org/ abs/ 1011. 2997 -
101V. V. Bavula.
The algebra of integro-differential operators on a polynomial algebra, in: J. Lond. Math. Soc. (2), 2011, vol. 83, no 2, p. 517–543.
http://dx. doi. org/ 10. 1112/ jlms/ jdq081 -
102J. E. Bjork.
Rings of Differential Operators, North Holland, 1979. -
103J. E. Bjork.
Analytic -modules and Applications, Academic Press, 1987, vol. 2. -
104M. Boudellioua, A. Quadrat.
Serre's reduction of linear functional systems, in: Mathematics in Computer Science, 2010, vol. 4, p. 289–312. -
105F. Chyzak, A. Quadrat, D. Robertz.
Effective algorithms for parametrizing linear control systems over Ore algebras, in: Appl. Algebra Engrg. Comm. Comput., 2005, vol. 16, p. 319–376. -
106F. Chyzak, A. Quadrat, D. Robertz.
OreModules : A symbolic package for the study of multidimensional linear systems, in: Applications of Time-Delay Systems, J. Chiasson, J.-J. Loiseau (editors), Lecture Notes in Control and Information Sciences 352, Springer, 2007, p. 233–264.
http://wwwb. math. rwth-aachen. de/ OreModules -
107F. Chyzak, B. Salvy.
Non-commutative elimination in Ore algebras proves multivariate identities, in: J. Symbolic Comput., 1998, vol. 26, p. 187–227. -
108T. Cluzeau, A. Quadrat.
Factoring and decomposing a class of linear functional systems, in: Linear Algebra Appl., 2008, vol. 428, p. 324–381. -
109T. Cluzeau, A. Quadrat.
OreMorphisms : A homological algebraic package for factoring, reducing and decomposing linear functional systems, in: Topics in Time-Delay Systems: Analysis, Algorithms and Control, J.-J. Loiseau, W. Michiels, S.-I. Niculescu, R. Sipahi (editors), Lecture Notes in Control and Information Sciences 388, Springer, 2010, p. 179–196.
http://www-sop. inria. fr/ members/ Alban. Quadrat/ OreMorphisms/ index. html -
110A. Fabiańska, A. Quadrat.
Applications of the Quillen-Suslin theorem to multidimensional systems theory, in: Gröbner Bases in Control Theory and Signal Processing, H. Park, G. Regensburger (editors), Radon Series on Computation and Applied Mathematics, de Gruyter, 2007, vol. 3, p. 23–106.
http://wwwb. math. rwth-aachen. de/ QuillenSuslin -
111M. Feinberg.
Chemical reaction network structure and the stability of complex isothermal reactors–I. The deficiency zero and deficiency one theorems, in: Chem. Eng. Sci., 1987, vol. 42, no 10, p. 2229–2268. -
112A. Fioravanti, C. Bonnet, H. Ozbay.
Stability of fractional neutral systems with multiple delays and poles asymptotic to the imaginary axis, in: IEEE Conference on Decision and Control, Atlanta, USA, December 2010. -
113A. Fioravanti, C. Bonnet, H. Ozbay, S.-I. Niculescu.
Stability windows and unstable poles for linear time-delay systems, in: 9th IFAC Workshop on Time-Delay Systems, Prague, June 2010. -
114J. Gunawardena.
Chemical reaction network theory for in-silico biologists, 2003.
http://vcp. med. harvard. edu/ papers/ crnt. pdf -
115A. Kandri-Rody, V. Weispfenning.
Non-commutative Gröbner Bases in Algebras of Solvable Type, in: J. Symbolic Computation, 1990, vol. 9, p. 1–26. -
116H. Kitano.
Biological robustness, in: Nature, 2004, vol. 5, p. 826–837. -
117H. Kredel.
Solvable Polynomial Rings, Shaker, Aachen, 1993. -
118F. Mazenc, M. De Queiroz, M. Malisoff.
Uniform Global Asymptotic Stability of a Class of Adaptively Controlled Nonlinear Systems, in: IEEE Trans. Aut. Contr., May 2009, vol. 54, no 5, p. 1152–1158. -
119F. Mazenc, M. Malisoff, Z. Lin.
Further Results in Input-to-State Stability for Nonlinear Systems with Delayed Feedbacks, in: Automatica, 2008, vol. 44, no 9, p. 2415–2421. -
120J.-F. Pommaret, A. Quadrat.
Algebraic analysis of linear multidimensional control systems, in: IMA J. Math. Control and Inform., 1999, vol. 16, p. 275–297. -
121J.-F. Pommaret, A. Quadrat.
Localization and parametrization of linear multidimensional control systems, in: Systems Control Lett., 1999, vol. 37, p. 247–260. -
122A. Quadrat.
On a generalization of the Youla-Kuera parametrization. Part I: The fractional ideal approach to SISO systems, in: Systems & Control Letters, 2003, vol. 50, no 2, p. 135–148. -
123A. Quadrat.
A lattice approach to analysis and synthesis problems, in: Mathematics of Control, Signals, and Systems, 2006, vol. 18, no 2, p. 147–186. -
124A. Quadrat.
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