Time-delay systems: an overview of some recent advances and open problems

Jean-Pierre Richard

doi:10.1016/s0005-1098(03)00167-5

journal article Oct 01, 2003

Time-delay systems: an overview of some recent advances and open problems

Jean-Pierre Richard

Automatica Vol. 39 No. 10 pp. 1667-1694 · Elsevier BV

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References

271

[1]

Abdallah, C., Birdwell, J. D., Chiasson, J., Chupryna, V., Tang, Z., & Wang, T. (2001). Load balancing instabilities due to time delays in parallel computations. In Third IFAC workshop on time delay systems, Sante Fe, NM, December 2001. 10.1016/s1474-6670(17)32886-0

[2]

Abdallah, C., & Chiasson, J. (2001). Stability of communication networks in the presence of delays. In Third IFAC workshop on time delay systems, Sante Fe, NM, December 2001. 10.1016/s1474-6670(17)32885-9

[3]

Abdallah, G., Dorato, P., Benitez-Read, J., & Byrne, R. (1993). Delayed positive feedback can stabilize oscillatory systems. In ACC’93 (American control conference) San Francisco, (pp. 3106–3107). 10.23919/acc.1993.4793475

[4]

Aernouts "Delayed control of a Moore-Greitzer axial compressor model" International Journal of Bifurcation and Chaos (2000) 10.1142/s0218127400000827

[5]

Aggoune, W. (1999). Contribution à la Stabilisation de Systèmes Non Linéaires: Application aux Systèmes Non Réguliers et aux Systèmes à Retards. INRIA/CRAN, University of Metz, France (in French).

[6]

Ailon "Stability analysis of a rigid robot with output-based controller and time-delay" Systems and Control Letters (2000) 10.1016/s0167-6911(99)00120-6

[7]

Akian, M., Bliman, P. A., & Sorine, M. (1998). P.I. control of nonlinear oscillations for a system with delay. Research report 3422, INRIA, May 1998.

[8]

Al-Amer, S. H., & Al-Sunni, F. M. (2000). Approximation of time-delay systems. In ACC’00 (American control conference), Chicago, IL (pp. 2491–2495). 10.1109/acc.2000.878631

[9]

Artstein "Linear systems with delayed controls" IEEE Transactions on Automatic Control (1982) 10.1109/tac.1982.1103023

[10]

Åström "A new Smith predictor for controlling a process with an integrator and long deadtime" IEEE Transactions on Automatic Control (1994) 10.1109/9.272329

[11]

Banks "Spline approximations for functional differential equations" Journal of Differential Equations (1979) 10.1016/0022-0396(79)90033-0

[12]

Banks "Nonlinear delay systems, Lie algebras and Lyapunov transformations" IMA Journal of Mathematical Control and Information (2002) 10.1093/imamci/19.1_and_2.59

[13]

Bartholoméüs "Bounded domains and constrained control of linear time-delays systems" JESA, European Journal of Automatic Systems (1997)

[14]

Battle "On the approximation of delay elements by feedback" Automatica (2000) 10.1016/s0005-1098(99)00195-8

[15]

Beghi "Approximating delay elements by feedback" IEEE Transactions on Circuits and Systems (1997) 10.1109/81.622986

[16]

Belkoura, L., Dambrine, M., Richard, J.-P., & Orlov, Y. (1998). Sliding mode on-line identification of delay systems. In VSS’98, Fifth international workshop on variable structure systems, Longboat Key, FL, December 1998 (pp. 230–232).

[17]

Belkoura, L., Richard, J. P., & Orlov, Y. (2000). Identifiability of linear time delay systems. In Second IFAC workshop on linear time delay systems, Ancona, Italy, September 2000 (pp. 173–176). 10.1016/s1474-6670(17)36943-4

[18]

Bellen, A., & Zennaro, M. (2001). A free step-size implementation of second order stable methods for neutral delay differential equations. In Third IFAC workshop on time delay systems, Sante Fe, NM, December 2001.

[19]

Bellman (1963)

[20]

Bellman "On the computational solution of a class of functional differential equations" Journal of Mathematical Analysis and Applications (1965) 10.1016/0022-247x(65)90017-x

[21]

Biberovic, E., Iftar, A., & Ozbay, H. (2001). A solution to the robust flow control problem for networks with multiple bottlenecks. In 40th IEEE CDC’01 (Conference on decision and control), Orlando, FL, December 2001 (pp. 2303–2308). 10.1109/cdc.2001.980603

[22]

Blanchini "A Razumikhin-type lemma for functional differential equations with application to adaptive control" Automatica (1999) 10.1016/s0005-1098(98)00227-1

[23]

Bonnet "Stabilization of fractional exponential systems including delays" Kybernetika (2001)

[24]

Bonnet "Robust control and tracking of a delay system with discontinuous nonlinearity in the feedback" International Journal of Control (1999) 10.1080/002071799220164

[25]

Bonnet "Robust stabilization of a delay system with saturating actuator or sensor" International Journal of Robust and Nonlinear Control (2000) 10.1002/1099-1239(200006)10:7<579::aid-rnc494>3.0.co;2-l

[26]

Borne, P., Dambrine, M., Perruquetti, W., & Richard, J. P. (2002). Vector Lyapunov functions: Nonlinear, time-varying, ordinary and functional differential equations. Stability and control: Theory, methods and applications (Martynyuk ed.) (pp. 49–73). London: Taylor and Francis.

[27]

Boukas, E. K., & Liu, Z. K. (2002). Deterministic and stochastic time-delay systems. Control engineering. Basel: Birkhauser. 10.1007/978-1-4612-0077-2

[28]

Brethé, D. (1997). Contribution à l'Etude de la Stabilisation des Systèmes Linéaires à Retards. IRCCyN, University of Nantes, EC Nantes, France, December 1997 (in French).

[29]

Bushnell "Editorial: Networks and control" IEEE Control System Magazine (2001) 10.1109/mcs.2001.898789

[30]

Byrnes "A several complex variables approach to feedback stabilization of linear neutral delay-differential systems" Mathematical Systems Theory (1984) 10.1007/bf01744436

[31]

Cao "H∞ control of uncertain markovian jump systems with time delay" IEEE Transactions on Automatic Control (2000) 10.1109/9.827358

[32]

Chang "Time delay observer" ASME Journal of Dynamic Systems Measurement and Control (1997) 10.1115/1.2801288

[33]

Chang, P. H., & Park, S. H. (1998). The enhanced time delay observer for nonlinear systems. In 37th IEEE CDC’98 (Conference on decision and control), Tampa, FL, December 1998 (pp. 367–368). 10.1109/cdc.1998.760701

[34]

Chen "Frequency sweeping tests for stability independent of delay" IEEE Transactions on Automatic Control (1995) 10.1109/9.412637

[35]

Cheres "Stabilization of uncertain dynamic systems including state delay" IEEE Transactions on Automatic Control (1989) 10.1109/9.40753

[36]

Choi, H. H. (1999). An LMI approach to sliding mode control design for a class of uncertain time delay systems. In ECC’99 (Fifth European control conference), Karlsruhe, Germany. 10.23919/ecc.1999.7099902

[37]

Choi "Memoryless H∞ controller design for linear systems with delayed state and control" Automatica (1995) 10.1016/0005-1098(95)00001-d

[38]

Choi "Observer-based H∞ controller design for state delayed linear systems" Automatica (1996) 10.1016/0005-1098(96)00014-3

[39]

Choi "Robust observer-based H∞ controller design for linear uncertain time-delay systems" Automatica (1997) 10.1016/s0005-1098(97)82235-2

[40]

Choi "An observer-based controller design method for improving air/fuel characterization of spark ignition engines" IEEE Transactions on Control Systems Technology (1998) 10.1109/87.668034

[41]

Conte "The disturbance decoupling problem for systems over a ring" SIAM Journal on Control and Optimization (1995) 10.1137/s0363012992235638

[42]

Conte "Non-interacting control problems for delay-differential systems via systems over rings" JESA, European Journal on Automatic Systems (1997)

[43]

Conte, G., & Perdon, A. M. (1998). Systems over rings: Theory and applications. In First IFAC workshop on linear time delay systems, Grenoble, France, July 1998, Plenary lecture (pp. 223–234).

[44]

Dambrine, M., Gouaisbaut, F., Perruquetti, W., & Richard, J.-P. (1998). Robustness of sliding mode control under delays effects: A case study. In CESA’98 (IEEE-IMACS conference on computer engineering in system applications), Vol. 1, Tunisia, April 1998 (pp. 817–821).

[45]

Dambrine "Feedback control of time-delay systems with bounded control and state" Mathematical Problems in Engineering (1995) 10.1155/s1024123x95000081

[46]

Darouach "Linear functional observers for systems with delays in state variables" IEEE Transactions on Automatic Control (2001) 10.1109/9.911430

[47]

Darouach "Design of reduced-order observers without internal delays" IEEE Transactions on Automatic Control (1999) 10.1109/9.788537

[48]

Datko "A paradigm of ill-posedness with respect to time delays" IEEE Transactions on Automatic Control (1998) 10.1109/9.701100

[49]

De Santis "Approximation of the algebraic Riccati equation in the Hilbert space of Hilbert-Schmidt operators" SIAM Journal on Control and Optimization (1993) 10.1137/0331037

[50]

Delfour "Controllability, observability and optimal feedback control of affine, hereditary, differential systems" SIAM Journal on Control and Optimization (1972) 10.1137/0310023

Showing 50 of 271 references

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Published: Oct 01, 2003
Vol/Issue: 39(10)
Pages: 1667-1694
License: View

Authors

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Jean-Pierre Richard

Cite This Article

Jean-Pierre Richard (2003). Time-delay systems: an overview of some recent advances and open problems. Automatica, 39(10), 1667-1694. https://doi.org/10.1016/s0005-1098(03)00167-5

Time-delay systems: an overview of some recent advances and open problems

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