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  • The Inria's Research Teams produce an annual Activity Report presenting their activities and their results of the year. These reports include the team members, the scientific program, the software developed by the team and the new results of the year. The report also describes the grants, contracts and the activities of dissemination and teaching. Finally, the report gives the list of publications of the year.

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DISCO - 2013



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, pp. 1133–1138.
  • 2C. Bonnet, J. Partington.

    Stabilization of some fractional delay systems of neutral type, in: Automatica, 2007, vol. 43, pp. 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, pp. 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, pp. 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, pp. 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, pp. 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.
Publications of the year

Articles in International Peer-Reviewed Journals

  • 11M. Ahsen, H. Ozbay, S.-I. Niculescu.

    On the analysis of a dynamical model representing generegulatory networks under negative feedback, in: International Journal of Robust and Nonlinear Control, January 2013, Article first published online. [ DOI : 10.1002/rnc.2947 ]

    http://hal.inria.fr/hal-00935408
  • 12M. Ahsen, H. Ozbay, S.-I. Niculescu.

    Output feedback stabilization of SISO linear systems with I/O network-induced delays. An eigenvalue based-approach, in: International Journal of Control, 2014, vol. 87, pp. 346-362.

    http://hal.inria.fr/hal-00935388
  • 13S. Caliskan, H. Ozbay, S.-I. Niculescu.

    Dwell-time computation for stability of switched systems with time delays, in: IET Control Theory and Applications, 2013, vol. 7, no 10, pp. 1422-1428. [ DOI : 10.1049/iet-cta.2011.0749 ]

    http://hal.inria.fr/hal-00935511
  • 14A. Gruszka, M. Malisoff, F. Mazenc.

    Bounded Tracking Controllers and Robustness Analysis for UAVs, in: IEEE Transactions on Automatic Control, 2013.

    http://hal.inria.fr/hal-00761331
  • 15X.-G. Li, S.-I. Niculescu, A. Cela, H.-H. Wang, T.-Y. Cai.

    On computing Puiseux series for multiple imaginary characteristic roots of LTI delay systems with commensurate delays, in: IEEE Transactions on Automatic Control, May 2013, vol. 58, no 5, pp. 1338-1343. [ DOI : 10.1109/TAC.2012.2226102 ]

    http://hal.inria.fr/hal-00935428
  • 16X.-G. Li, S.-I. Niculescu, A. Cela, H.-H. Wang, T.-Y. Cai.

    Invariance properties for a class of quasipolynomials, in: Automatica, 2014, accepté le 30/09/2013. [ DOI : 10.1016/j.automatica.2013.12.007 ]

    http://hal.inria.fr/hal-00935376
  • 17B. Liacu, A. Taha Koru, S.-I. Niculescu, E. Ozbay.

    Optimizing low-order controllers for haptic systems under delayed feedback, in: Control Engineering Practice, May 2013, vol. 21, no 5, pp. 655-668. [ DOI : 10.1016/j.conengprac.2013.01.001 ]

    http://hal.inria.fr/hal-00935444
  • 18F. Mazenc, O. Bernard.

    ISS Interval Observers for Nonlinear Systems Transformed Into Triangular Systems, in: International Journal of Robust and Nonlinear Control, 2013. [ DOI : 10.1002/rnc.2937 ]

    http://hal.inria.fr/hal-00761288
  • 19F. Mazenc, T. Dinh, S.-I. Niculescu.

    Interval Observers for Discrete-time Systems,, in: International Journal of Robust and Nonlinear Control, June 2013.

    http://hal.inria.fr/hal-00906781
  • 20F. Mazenc, T. Dinh, S.-I. Niculescu.

    Robust Interval Observers and Stabilization Design for Discrete-time Systems with Input and Output, in: Automatica, November 2013, vol. 49, no 11, pp. 3490-3497. [ DOI : 10.1016/j.automatica.2013.09.016 ]

    http://hal.inria.fr/hal-00874971
  • 21F. Mazenc, H. Ito.

    Lyapunov Technique and Backstepping for Nonlinear Neutral Systems, in: IEEE Transactions on Automatic Control, 2013, vol. 58, no 2, pp. 512-517.

    http://hal.inria.fr/hal-00761326
  • 22F. Mazenc, M. Malisoff, T. Dinh.

    Robustness of Nonlinear Systems with Respect to Delay and Sampling of the Controls, in: Automatica, 2013, vol. 49, pp. 1925-1931.

    http://hal.inria.fr/hal-00823918
  • 23F. Mazenc, M. Malisoff.

    Asymptotic Stabilization for Feedforward Systems with Delayed Feedback, in: Automatica, 2013, vol. 49, no 3, pp. 780-787.

    http://hal.inria.fr/hal-00761317
  • 24F. Mazenc, S.-I. Niculescu, M. Bekaïk.

    Stabilization of time-varying nonlinear systems with distributed delay by feedback of plant's state, in: IEEE Transactions on Automatic Control, January 2013, vol. 58, no 1, pp. 264-269. [ DOI : 10.1109/TAC.2012.2204832 ]

    http://hal.inria.fr/hal-00761565
  • 25F. Mazenc, D. Normand-Cyrot.

    Reduction Model Approach for Linear Systems With Sampled Delayed Inputs, in: IEEE Transactions on Automatic Control, 2013.

    http://hal.inria.fr/hal-00761296
  • 26H. Nguyen, P. Gutman, S. Olaru, M. Hovd.

    Implicit improved vertex control for uncertain, time-varying linear discrete-time systems with state and control constraints, in: Automatica, September 2013, vol. 49, no 9, pp. 2754-2759. [ DOI : 10.1016/j.automatica.2013.05.007 ]

    http://hal.inria.fr/hal-00917676
  • 27H.-N. Nguyen, P. Gutman, S. Olaru, M. Hovd.

    Control with constraints for linear stationary systems: An interpolation approach, in: Automation and Remote Control, January 2014, vol. 75, no 1, pp. 57-74. [ DOI : 10.1134/S0005117914010044 ]

    http://hal.inria.fr/hal-00944453
  • 28I. Prodan, S. Olaru, R. Bencatel, J. Borges De Sousa, C. Stoica, S.-I. Niculescu.

    Receding horizon flight control for trajectory tracking of autonomous aerial vehicles, in: Control Engineering Practice, October 2013, vol. 21, no 10, pp. 1334-1349. [ DOI : 10.1016/j.conengprac.2013.05.010 ]

    http://hal.inria.fr/hal-00876457
  • 29I. Prodan, S. Olaru, C. Stoica, S.-I. Niculescu.

    Predictive Control for Trajectory Tracking and Decentralized Navigation of Multi-Agent Formations, in: International Journal of Applied Mathematics and Computer Science, March 2013, vol. 23, no 1, pp. 91-102. [ DOI : 10.2478/amcs-2013-0008 ]

    http://hal.inria.fr/hal-00826632
  • 30A. Quadrat.

    Grade filtration of linear functional systems, in: Acta Applicandae Mathematicae, October 2013, vol. 127, no 1, pp. 27-86. [ DOI : 10.1007/s10440-012-9791-2 ]

    http://hal.inria.fr/hal-00925510
  • 31A. Quadrat, D. Robertz.

    A constructive study of the module structure of rings of partial differential operators, in: Acta Applicandae Mathematicae, 2014, pp. 1-3, A paraitre. [ DOI : 10.1007/s10440-013-9864-x ]

    http://hal.inria.fr/hal-00925533
  • 32F. Stoican, S. Olaru, G. Bitsoris.

    Controlled invariance-based fault detection for multisensory control systems, in: IET Control Theory and Applications, March 2013, vol. 7, no 4, pp. 606-611. [ DOI : 10.1049/iet-cta.2011.0678 ]

    http://hal.inria.fr/hal-00917843
  • 33H. Ulas Unal, D. Melchor-Aguilor, D. Ustebay, S.-I. Niculescu, H. Ozbay.

    Comparison of PI controllers designed for the delay model of TCP/AQM networks, in: Computer Communications, June 2013, vol. 36, no 10-11, pp. 1225-1234. [ DOI : 10.1016/j.comcom.2013.03.001 ]

    http://hal.inria.fr/hal-00935526

Invited Conferences

  • 34A. Quadrat.

    Yoneda product of multimentional systems, in: 8th International Workshop on Multidimensional (nD) Systems (nDS13), Erlangen, Germany, September 2013.

    http://hal.inria.fr/hal-00925672
  • 35A. Quadrat, G. Regensburger.

    Polynomial solutions and annihilators of ordinary integro-differential operators, in: 5th Symposium on System Structure and Control, Grenoble, France, February 2013, vol. 5, pp. 308-313. [ DOI : 10.3182/20130204-3-FR-2033.00133 ]

    http://hal.inria.fr/hal-00925686
  • 36A. Quadrat, D. Robertz.

    Stafford's reduction of linear partial differential systems, in: 5th Symposium on System Structure and Control, Grenoble, France, February 2013, vol. 5, pp. 314-319. [ DOI : 10.3182/20130204-3-FR-2033.00118 ]

    http://hal.inria.fr/hal-00925696

International Conferences with Proceedings

  • 37G. Bitsoris, S. Olaru.

    Further Results on the Linear Constrained Regulation Problem, in: MED'13, Crete, Greece, June 2013, CD-Rom.

    http://hal.inria.fr/hal-00827213
  • 38I. Boussaada, A. Cela, H. Mounier, S.-I. Niculescu.

    Control of Drilling Vibrations: A Time-Delay System-Based Approach, in: 11th Workshop on Time-Delay Systems, France, February 2013, pp. 226-231.

    http://hal.inria.fr/hal-00935991
  • 39J. Chaudenson, D. Beauvois, S. Bennani, M. Ganet-Schoeller, G. Sandou.

    Dynamics modeling and comparative robust stability analysis of a space launcher with constrained inputs, in: ECC 2013, Zurich, Switzerland, July 2013, CD-Rom.

    http://hal.inria.fr/hal-00826283
  • 40J. Chaudenson, M. Fetzer, C. Scherer, D. Beauvois, G. Sandou, S. Bennani, M. Ganet-Schoeller.

    Stability analysis of pulse-modulated systems with an application to space launchers, in: ACA 2013, Würzburg, Germany, September 2013, CD-Rom.

    http://hal.inria.fr/hal-00826387
  • 41T. Cluzeau, A. Quadrat.

    Further Results on the Decomposition and Serre's Reduction of Linear Functional Systems, in: 5th Symposium on System Structure and Control (IFAC Joint Conference), Grenoble, France, 2013.

    http://hal.inria.fr/hal-00765955
  • 42T. Cluzeau, A. Quadrat.

    Isomorphisms and Serre's reduction of linear systems, in: nDS 2013, Erlangen, Germany, 2013.

    http://hal.inria.fr/hal-00904038
  • 43J. El Hadef, S. Olaru, P. Rodriguez-Ayerbe, G. Colin, Y. Chamaillard, V. Talon.

    Explicit Nonlinear Model Predictive Control of the Air Path of a Turbocharged Spark-Ignited Engine, in: IEEE MSC 2013, Hyderabab, India, August 2013, pp. 71-77.

    http://hal.inria.fr/hal-00827202
  • 44P. Feyel, G. Duc, G. Sandou.

    Enhancing optimal weight tuning in H-infinity loop-shaping control with Particle Swarm Optimization, in: ECTA 2013, Villamoura, Portugal, September 2013, CD-Rom.

    http://hal.inria.fr/hal-00826417
  • 45P. Feyel, G. Duc, G. Sandou.

    Fixed-Order H-infinity Loop-Shaping Synthesis: a Time Domain Approach, in: IEEE SSCI 2013, Singapore, Singapore, 2013, CD-Rom.

    http://hal.inria.fr/hal-00826272
  • 46P. Feyel, G. Duc, G. Sandou.

    LuGre Friction Model Identification and Compensator Tuning Using A Differential Evolution Algorithm, in: IEEE Symposium Series on Computational Intelligence, Singapore, 2013, CD-Rom.

    http://hal.inria.fr/hal-00795144
  • 47M. S. Geamanu, A. Cela, H. Mounier, G. Le Solliec, S.-I. Niculescu.

    Maximum friction estimation and longitudinal control for a full in-wheel electric motor vehicle, in: 12th International Conference on Control, Automation and Systems, Korea, Democratic People'S Republic Of, January 2013, pp. 856-861.

    http://hal.inria.fr/hal-00832071
  • 48A. Grancharova, S. Olaru.

    Distributed model predictive control of a quadruple-tank, in: Automatics and Informatics'2013, Sofia, Bulgaria, 2013, CD-Rom.

    http://hal.inria.fr/hal-00918198
  • 49J. Harmand, F. Mazenc.

    Stabilization of the chemostat with delayed sampled measurements, in: SIAM Conference on Control and Its Applications, San Diego, United States, July 2013.

    http://hal.inria.fr/hal-00925619
  • 50S. Hirwa, P. Feyel, G. Duc, G. Sandou.

    On Practical Fixed Order H Loop-Shaping, in: ECC 2013, Zurich, Switzerland, July 2013, CD-Rom.

    http://hal.inria.fr/hal-00826279
  • 51M. Hovd, F. Stoican, S. Olaru.

    Explicit Invariant Approximation of the Mrpi Set for LTI Dynamics with Zonotopic Disturbances, in: IEEE CDC 2013, Firenze, Italy, December 2013, CD-Rom.

    http://hal.inria.fr/hal-00918195
  • 53M. Malissof, F. Mazenc.

    Asymptotic Stabilization for Feedforward Systems with Delayed Feedbac, in: SIAM Conference on Control and Its Applications (CT13), San Diego, United States, July 2013, pp. 1-5.

    http://hal.inria.fr/hal-00926661
  • 54F. Mazenc, T. Dinh.

    Continuous-Discrete Interval Observers for Systems with Discrete Measurements, in: IEEE CDC, Florence, Italy, December 2013, pp. 787-792.

    http://hal.inria.fr/hal-00906824
  • 56F. Mazenc, J. Harmand, H. Mounier.

    Global stabilization of the chemostat with delayed and sampled measurements and control, in: NOLCOS - 9th IFAC Symposium on Nonlinear Control Systems - 2013, Toulouse, France, September 2013.

    http://hal.inria.fr/hal-00823970
  • 57F. Mazenc, H. Ito, P. Pepe.

    Construction of Lyapunov functionals for coupled differential and continuous time difference equations, in: IEEE CDC, Florence, Italy, December 2013, pp. 2245-2250.

    http://hal.inria.fr/hal-00906815
  • 58F. Mazenc, M. Malisoff, T. Dinh.

    Uniform Global Asymptotic Stability for Nonlinear Systems under Input Delays and Sampling of the Controls, in: ACC, Washington, United States, June 2013, pp. 4857-4861.

    http://hal.inria.fr/hal-00906827
  • 59F. Mazenc, M. Malisoff, S.-I. Niculescu.

    Stabilization of Linear Time Varying Systems with Input Delays: Application to Rapidly Time Varying Systems, in: IEEE CDC, Florence, Italy, December 2013, pp. 1584-1589.

    http://hal.inria.fr/hal-00906818
  • 60F. Mazenc, M. Malissof, T. N. Dinh.

    Robustness of Nonlinear Systems with Respect to Delay and Sampling of the Controls, in: SIAM Conference on Control and Its Applications (CT13), San Diego, United States, July 2013, pp. 1-5.

    http://hal.inria.fr/hal-00926667
  • 61F. Mazenc, S.-I. Niculescu.

    Interval Observers with Delays for Biological Reactors, in: SIAM Conference on Control and Its Applications (CT13), San-Diego, United States, July 2013, pp. 1-5.

    http://hal.inria.fr/hal-00926664
  • 62I. Necoara, D. N. Clipici, S. Olaru.

    Distributed Model Predictive Control of Leader-Follower Systems Using an Interior Point Method with Efficient Computations, in: ACC 2013, Washington, United States, June 2013, CD-Rom.

    http://hal.inria.fr/hal-00827199
  • 63L. H. V. Nguyen, C. Bonnet.

    Right coprime factorizations of MISO fractional time-delay systems, in: CPDE - 1st IFAC Workshop on Control of Systems Modeled by Partial Differential Equations - 2013, Paris, France, 2013.

    http://hal.inria.fr/hal-00930180
  • 64S. Olaru, N. Anh Nguyen, P. Rodriguez-Ayerbe, G. Bitsoris, M. Hovd.

    Explicit robustness and fragility margins for discrete-time linear systems with PWA control, in: ICSTCC 2013, Sinaïa, Romania, October 2013, pp. 380-385.

    http://hal.inria.fr/hal-00917917
  • 65I. Prodan, S. Olaru, F. Fontes, C. Stoica, S.-I. Niculescu.

    A predictive control-based algorithm for path following of autonomous aerial vehicles, in: IEEE Multi-conference on Systems and Control, Hyderabad, India, IEEE, 2013, pp. 1042 - 1047. [ DOI : 10.1109/CCA.2013.6662889 ]

    http://hal.inria.fr/hal-00917261
  • 66M.-I. Strutu, F. Stoican, I. Prodan, D. Popescu, S. Olaru.

    A Characterization of the Relative Positioning of Mobile Agents for Full Sensorial Coverage in an Augmented Space with Obstacles, in: MED'13, Crete, France, June 2013, CD-Rom.

    http://hal.inria.fr/hal-00827218
  • 67F. Xu, V. Puig, C. Ocampo-Martinez, F. Stoican, S. Olaru.

    Actuator-fault Detection and Isolation based on Interval Observers and Invariant Sets, in: IEEE CDC 2013, Firenze, Italy, December 2013, CD-Rom.

    http://hal.inria.fr/hal-00918190
  • 68F. Xu, V. Puig, C. Ocampo-Martinez, F. Stoican, S. Olaru.

    Sensor-fault Detection and Isolation using Interval Observers, in: Systol 2013, Nice, France, October 2013, CD-Rom.

    http://hal.inria.fr/hal-00918188
  • 69F. Xu, F. Stoican, V. Puig, C. Ocampo-Martinez, S. Olaru.

    Fault Detection and Isolation Based on the Combination of a Bank of Interval Observers and Invariant Sets, in: MED'13, Crete, Greece, June 2013, CD-Rom.

    http://hal.inria.fr/hal-00827212
  • 70F. Xu, F. Stoican, V. Puig, C. Ocampo-Martinez, S. Olaru.

    On the Relationship between Interval Observers and Invariant Sets in Fault Detection, in: Systol 2013, Nice, France, October 2013, CD-Rom.

    http://hal.inria.fr/hal-00918180

National Conferences with Proceedings

  • 71I. Prodan, G. Bitsoris, S. Olaru, C. Stoica, S.-I. Niculescu.

    Constrained Control Design for Linear Systems with Geometric Adversary Constraints, in: IFAC 5th Symposium on System Structure and Control, Grenoble, France, February 2013, vol. 5, pp. 815-820. [ DOI : 10.3182/20130204-3-FR-2033.00190 ]

    http://hal.inria.fr/hal-00794361
  • 72N. Stankovic, S. Olaru, S.-I. Niculescu.

    On Stability of Discrete-Time Delay-Difference Equations for Arbitrary Delay Variations, in: IFAC 11th Workshop on Time-Delay Systems, Grenoble, France, February 2013, vol. 11, pp. 242-247. [ DOI : 10.3182/20130204-3-FR-4031.00218 ]

    http://hal.inria.fr/hal-00794366

Conferences without Proceedings

  • 73L. H. V. Nguyen, C. Bonnet, A. R. Fioravanti.

    H_infty-stability analysis of delay systems of neutral type, in: SIAM Conference on Control and Its Applications, San Diego, United States, 2013.

    http://hal.inria.fr/hal-00931571
  • 74I. Prodan, S. Olaru, C. Stoica, S.-I. Niculescu.

    Predictive Control for Autonomous Aerial Vehicles Trajectory Tracking, in: Journée Envol Recherche de la Fondation d'entreprise EADS, Paris, France, February 2013.

    http://hal.inria.fr/hal-00794373

Scientific Books (or Scientific Book chapters)

  • 75J. 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, in: Delay Systems : From Theory to Numerics and Applications, T. Vyhlídal, J.-F. Lafay, R. Sipahi (editors), Advances in Delays and Dynamics, Springer, January 2014, vol. 1, pp. 315-328. [ DOI : 10.1007/978-3-319-01695-5_23 ]

    http://hal.inria.fr/hal-00932779
  • 76T. Cluzeau, V. Dolean, F. Nataf, A. Quadrat.

    Symbolic techniques for domain decomposition methods, in: Lecture Notes in Computational Science and Engineering, Springer, 2013, pp. 27-38.

    http://hal.inria.fr/hal-00907070
  • 77L. H. V. Nguyen, C. Bonnet.

    Stabilization of some fractional neutral delay systems which possibly possess an infinite number of unstable poles, in: Low complexity controllers for time-delay systems, C. Bonnet, H. Mounier, H. Ozbay, A. Seuret (editors), Springer, 2014.

    http://hal.inria.fr/hal-00930192
  • 78I. Prodan, F. Stoican, S. Olaru, C. Stoica, S.-I. Niculescu.

    Mixed-Integer Programming Techniques in Distributed MPC Problems, in: Distributed Model Predictive Control Made Easy, J. M. Maestre, R. R. Negenborn (editors), Springer, July 2013, pp. 273-288, ISBN 978-94-007-7005-8.

    http://hal.inria.fr/hal-00826633
  • 79G. Sandou.

    Metaheuristic optimization for the design of automatic control laws, ISTE-Wiley, August 2013, 144 p, ISBN: 978-1-84821-590-0.

    http://hal.inria.fr/hal-00858240
  • 80G. Sandou.

    Optimisation métaheuristique pour la conception de lois de commande, Lavoisier, October 2013, 152 p, ISBN : 978-2746245785.

    http://hal.inria.fr/hal-00881275
  • 81F. Stoican, S. Olaru.

    Set-Theoretic Fault Tolerant Control in Multisensor Systems, Wiley-ISTE, May 2013, 176 p, ISBN: 9781848215658.

    http://hal.inria.fr/hal-00826961

Internal Reports

  • 82A. Quadrat, D. Robertz.

    A constructive study of the module structure of rings of partial differential operators, Inria, February 2013, no RR-8225, 124 p.

    http://hal.inria.fr/hal-00785003

Other Publications

  • 83J. L. Avila Alonso, C. Bonnet, H. Ozbay, J. Clairambault, S.-I. Niculescu.

    A coupled model for healthy and cancer cells dynamics in Acute Myeloid Leukemia, January 2014, The paper has been submitted to the 19th IFAC World Congress.

    http://hal.inria.fr/hal-00940245
  • 84J. L. Avila Alonso, C. Bonnet, H. Ozbay, J. Clairambault, S.-I. Niculescu.

    A discrete-maturity Interconnected Model of Healthy and Cancer Cell Dynamics in Acute Myeloid Leukemia, January 2014, The paper has been submitted to the 21st International Symposium on Mathematical Theory of Networks and Systems (MTNS 2014).

    http://hal.inria.fr/hal-00940305
References in notes
  • 85V. V. Bavula.

    The algebra of integro-differential operators on an affine line and its modules, in: J. Pure Appl. Algebra, 2013, pp. 495–529.
  • 86J. E. Bjork.

    Rings of Differential Operators, North Holland, 1979.
  • 87J. E. Bjork.

    Analytic 𝒟-modules and Applications, Academic Press, 1987, vol. 2.
  • 88C. Bonnet, A. R. Fioravanti, J. R. 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, pp. 498–516.
  • 89M. Boudellioua, A. Quadrat.

    Serre's reduction of linear functional systems, in: Mathematics in Computer Science, 2010, vol. 4, pp. 289–312.
  • 90A. 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), nDS'11, 2011.
  • 91F. Chyzak, A. Quadrat, D. Robertz.

    Effective algorithms for parametrizing linear control systems over Ore algebras, in: Appl. Algebra Engrg. Comm. Comput., 2005, vol. 16, pp. 319–376.
  • 92F. 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, pp. 233–264.

    http://wwwb.math.rwth-aachen.de/OreModules
  • 93F. Chyzak, B. Salvy.

    Non-commutative elimination in Ore algebras proves multivariate identities, in: J. Symbolic Comput., 1998, vol. 26, pp. 187–227.
  • 94T. Cluzeau, A. Quadrat.

    Factoring and decomposing a class of linear functional systems, in: Linear Algebra Appl., 2008, vol. 428, pp. 324–381.
  • 95T. 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, pp. 179–196.

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