Emilia Fridman's List of Publications

  1. Fridman E. and Strygin V. Asymptotics of integral manifolds of singularly perturbed differential equations with retarded argument. Math. Nachr.1984, 117. P.83-109.
  2. Fridman E. Stable, center stable, center, center unstable, unstable manifolds of singularly perturbed systems of neutral type. Approximate methods of differential equations research and applications. Kuibyshev State University Press. 1984. pp. 119-137, (in Russian).
  3. Strygin V., Sobolev V., Fridman E. and Gorelova E. Integral manifolds of singularly perturbed systems and some of their applications.Differential equations1985, 21, P. 1159-1161.
  4. Fridman E., Micheev Yu. and Sobolev V. Asymptotic analysis of digital control systems. Automation and remote control1988, vol. 49, p. 1175-1180 .
  5. Fridman E. Asymptotics of integral manifolds and decomposition of singularly perturbed systems of neutral type. Differential equations. 1990. 26, P. 457-467.
  6. Fridman E. Decomposition of linear optimal singularly perturbed systems with time delay. Automation and remote control. vol. 51, 1518-1527, 1990.
  7. Fridman E. Decomposition of boundary problems for singularly perturbed systems of neutral type in conditionally stable case. Differential equations. 1992, 28, no. 6, p. 800-810.
  8. Fridman E. Use of models with aftereffect in the problem of design of optimal digital control. Automation and remote control. 1992, vol. 53, No 10, pp. 1523-1528.
  9. Fridman E., Fridman L. and Shustin E. Steady modes in an autonomous system with break and delay. Differential Equations. 29 (1993), no. 8, 1161-1166.
  10. Fridman E., Fridman L. and Shustin E. Steady modes in a discontinuous control system with time delay. Pure Mathematics and Applications. 1993, 4 , no. 1, 59-73.
  11. Fridman E. $H^\infty$ control of nonlinear singularly perturbed systems and invariant manifolds. New Trends in Dynamic Games and ApplicationsG.J. Olsder (editor), series: Annals of International Society on Dynamic Games, Birkhauser, Boston, 1995, 25-45.
  12. Fridman E. Exact decomposition of linear singularly perturbed $H^\infty$-optimal control problem. Kybernetika 31, No 6, 589-597, Prague, 1995.
  13. Fridman E. Near-optimal $H^\infty$ control of linear singularly perturbed systems. IEEE Transactions on Automatic Control , 41, No 2, 236-240, 1996.
  14. Fridman E. Decoupling transformation of singularly perturbed systems with small delays and its applications. Z. Angew. Math. Mech. Berlin, vol {\bf 76}, No 2, 201-204, 1996.
  15. Fridman E. and Shaked U. On regional nonlinear $H^\infty$ filtering. Systems and Control Letters 29, No 4, pp. 233-240, 1997.
  16. Fridman E., Fridman L., Shustin E. Stable oscillations in a discontinuous delay system of the second order. In: Dynamical Systems and Differential equations, W. Chen and S. Hu, eds., An added volume to Discrete and Continuous Dynamical Systems , 209-233, 1998.
  17. Fridman E. and Shaked U. State-feedback $H^\infty$ control of linear systems with small state-delay. Systems and Control Letters 33, 3, 141-150, 1998.
  18. Fridman E. and Shaked U. $H^\infty$ norm and invariant manifolds of systems with state delays. Systems and Control Letters 36, 2, 157-165, 1999.
  19. Fridman E. Exact slow-fast decomposition of a class of nonlinear singularly perturbed optimal control problems via invariant manifolds. International Journal of Control 72, 17, 1609-1618, 1999.
  20. Fridman E. and Shaked U. Robust $H^\infty$ minimum entropy static output-feedback control of singularly perturbed systems. Automatica 36, 8, 1181-1188, 2000.
  21. Fridman E. and Shaked U. Sampled-data $H_{\infty}$ state-feedback control of systems with state delays. International Journal of Control 73, 12, 1115-1128, 2000.
  22. Fridman E. Exact slow-fast decomposition of nonlinear singularly perturbed optimal control problem. Systems and Control Letters 40, 2, 121-132, 2000.
  23. Glizer V. and Fridman E. $H_{\infty}$ control of linear singularly perturbed systems with small state delay. Journal of Mathematical Analysis and Applications} 250, 49-85, 2000.
  24. Fridman E. and Shaked U. Finite horizon $H_{\infty}$ state-feedback control of continuous-time systems with state delays. IEEE Trans. on Automatic control 45, No.12, 2406-2412, 2000.
  25. Fridman E., Fridman L. and Shustin E. Steady modes and stability in discontinuous delay systems with periodic disturbances. ASME Journal of Dynamic Systems, Measurement and Control} 122, No 4, 732-737, 2000.
  26. Fridman E. A descriptor system approach to nonlinear singularly perturbed optimal control problem. Automatica 37, No 4, 543-549, 2001.
  27. Fridman E. New Lyapunov-Krasovskii functionals for stability of linear retarded and neutral type systems, Systems & Control Letters 43, No 4, 309-319, 2001. TOP 1% CITED ARTICLE IN THE FIELD.
  28. Fridman E. State-feedback $H_\infty$ control of nonlinear singularly perturbed systems. International Journal of Robust and Nonlinear Control. 11, No 12, pp. 1115-1125, 2001.
  29. Fridman E. and Shaked U. A New $H_{\infty}$ Filter Design for Linear Time Delay Systems. IEEE Trans. on Signal Processing 49, No 11, 2839-2843, 2001.
  30. Fridman E. and Shaked U. A new bounded real lemma representation for time-delay systems and its applications. IEEE Trans. on Automatic control 46, No 12, 1973-1979, 2001. TOP 1% CITED ARTICLE IN THE FIELD.
  31. Xie L., Fridman E. and Shaked U. A robust $H_\infty$ control of distributed delay systems with application to combustion control. IEEE Trans. on Automatic control 46, No 12, 1930-1935, 2001.
  32. Fridman E. Stability of Linear Descriptor Systems with Delay: A Lyapunov-Based Approach. Journal of Mathematical Analysis and Applications 273, No 1, pp. 24-44, 2002.
  33. Fridman E. and Shaked U. A descriptor system approach to $H_{\infty}$ control of linear time-delay systems. IEEE Trans. on Automatic control 47, No 2, 253-270, 2002. TOP 1% CITED ARTICLE IN THE FIELD.
  34. Fridman E. and Shaked U. $H_{\infty}$ control of linear state-delay descriptor systems: a LMI approach. Linear Algebra and Applications 351-352, pp 271-302, 2002.
  35. Fridman E. Stability of singularly perturbed differential-difference systems: a LMI approach. Dynamics of Continuous, Discrete and Impulsive Systems 9, No 2, pp. 201-212, 2002.
  36. Fridman E. Effects of small delays on stability of singularly perturbed systems. Automatica 38, No 5, 897-902, 2002.
  37. Fridman E. and Shaked U. On delay-dependent passivity. IEEE Trans. on Automatic control 47, No.4, 664-669, 2002.
  38. Fridman E. and Shaked U. An improved stabilization method for linear time-delay systems. IEEE Trans. on Automatic control, 47, no. 11, 1931-1937, 2002. TOP 1% CITED ARTICLE IN THE FIELD.
  39. Fridman L., Fridman E. and Shustin E. Steady modes in relay systems with delay. Sliding Mode Control in Engineering, Perruquetii, Barbot (eds). Marcel Dekker, New York, 2002, Chapter 10, 263-293.
  40. Fridman E., Shaked U. and Xie L. Robust $H_{\infty}$ filtering of linear systems with time varying delay. IEEE Trans. on Automatic Control, 48, no. 1, 159-165, 2003.
  41. Fridman E., Shaked U. and L. Xie. Robust $H_2$ filtering of linear systems with time delays. International Journal of Robust and Nonlinear Control, 13, No 10, 983-1010, 2003.
  42. Fridman E. and Shaked U. Delay-dependent stability and $H_{\infty}$ control: constant and time-varying delays. Int. J. Control, 76, No. 1, 48-60, 2003. TOP 1% CITED ARTICLE IN THE FIELD.
  43. Fridman E. and Shaked U. Parameter Dependent Stability and Stabilization of Uncertain Time-Delay Systems, IEEE Trans. on Automatic control, 48, no.5, 861-866, 2003.
  44. Fridman E., Pila A. and Shaked U. Regional stabilization and $H_{\infty}$ control of time-delay systems with saturating actuators. International Journal of Robust and Nonlinear Control 13, no 9, 885-907, 2003.
  45. Fridman E. and Shaked U.. Editorial: Special Issue on Time-Delay Systems. International Journal of Robust and Nonlinear Control, 13, no 9, 791-192, 2003.
  46. Shustin E., Fridman E., Fridman L. Oscillations in a second order discontinuous systems with delay. Discrete and Continuous Dynamical Systems , no.2 ,2003, pp.337-357.
  47. Fridman E. Output regulation of nonlinear systems with delay. Systems & Control Letters, 50, 81-93, 2003.
  48. Fridman E. and Shaked U. On Reachable Sets for Linear Systems with Delay and Bounded Peak Inputs. Automatica, 39, no. 11, 2003, pp.2005-2010.
  49. Fridman E., Gouaisbaut F., Dambrine M. and Richard J.-P. href="B50.pdf"> A descriptor approach to sliding mode control of systems with time-varying delays. International Journal of Systems Science, 34, no. 8-9, 2003, pp. 553-559.
  50. Fridman E.. Output Regulation of Neutral Systems. Advances in time-delay systems, K.Gu, S. Niculescu (editors). LNCSE Vol. 38, Springer, 2004. Part V, 233-243.
  51. Fridman E. and Shaked U. An improved delay-dependent H infinity filtering. IEEE Trans. Signal Processing, 52, no 3, 2004, 668-673.
  52. Fridman E., Seuret A. and Richard J.-P. Robust sampled-data stabilization of linear systems: an input delay approach. Automatica, 40, no 8, 2004, 1441-1446.
  53. Fridman E., Shaked U. and Suplin V. Input/output delay approach to sampled-data H infinity control. Systems & Control Letters, 54, no 3, 2005, 271-282.
  54. Fridman E. and Shaked U. Delay-dependent H infinity control of uncertain dicsrete delay systems. European Journal of Control , 11/1, 2005, 29-37.
  55. Fridman E. Discussion on:"Stabilization of Networked Control Systems with Data Packet Dropout and Transmission Delays: Continuous-Time Case". European Journal of Control , 11/1, 2005, 53-55.
  56. Fridman E. and Shaked U. Stability and guaranteed cost control of uncertain dicsrete delay systems. International Journal of Control , 78/4, 2005, 235-246.
  57. Fridman E. A new Lyapunov technique for robust control of systems with uncertain non-small delays. IMA Journal of Math. Control & Information , (Advance access published on November 4, 2005), 23, no.2, pp. 165-179, 2006.
  58. Fridman E. and M. Gil'. Stability of linear systems with time-varying delays: A direct frequency domain approach. Journal of Computational and Applied Mathematics , 2006.
  59. Fridman E. Robust sampled-data H infinity control of linear singularly perturbed systems. IEEE Trans. on Automatic control, 51, No 3, 470-475, 2006.
  60. Suplin V., Fridman E. and Shaked U. H infinity control of linear uncertain time-delay systems - a projection approach. IEEE Trans. on Automatic control, 51, No 4, 2006.
  61. Fridman E. Stability of systems with uncertain delays: a new "complete" Lyapunov-Krasovskii functional. IEEE Trans. on Automatic control, 51, No 5, pp. 885-890, 2006.
  62. Fridman E. Descriptor discretized Lyapunov functional method: analysis and design. IEEE Trans. on Automatic control, 51, No 5, pp. 890-897, 2006.
  63. Fridman E. and Shaked U. Input-Output Approach to Stability and $L_2-$Gain Analysis of Systems with Time-Varying Delays. Systems & Control Letters, 55, 1041-1053, 2006.
  64. Suplin V., Fridman E. and Shaked U. Sampled-data H infinity control and filtering: nonuniform uncertain sampling. Automatica , 43, 1072-1083, 2007.
  65. Shustin E. and Fridman E. On delay-derivative-dependent stability of systems with fast-varying delay. Automatica , 43, 1649-1655, 2007.
  66. Fridman E. and Niculescu S. On complete Lyapunov-Krasovskii functional techniques for uncertain systems with fast-varying delays. . International Journal of Robust and Nonlinear Control,18, Issue 3, February 2008, pp. 364-374.
  67. Pepe P., Jiang Z. and Fridman E. A New Lyapunov-Krasovskii Methodology for Coupled Delay Differential-Difference Systems, International Journal of Control, 81/1, 107-115, 2008.
  68. E. Shustin, L. Fridman, E. Fridman. and F. Casta. Robust semiglobal stabilization of the second order system by relay feedback with an uncertain variable time-delay. SIAM J. Control \& Optimizationi,47, No. 1, pp. 196-217, 2008.
  69. E. Fridman, M. Dambrine and N. Yeganefar. Input to State Stability of Systems with Time-Delay: A Matrix Inequalities Approach. Automatica,44, No 9, pp. 2364-2369. 2008.
  70. E. Fridman. On Robust Stability of Linear Neutral Systems with Time-Varying Delays. IMA J. of Math. Contr. & Information , 25, pp. 393 - 407, 2008.
  71. Suplin V., Fridman E. and Shaked U. H infinity Sampled-data Control of Systems with Time-delays. International Journal of Control , 82, No 2, pp. 298 - 309, 2009.
  72. E. Fridman and Y. Orlov. Exponential Stability of Linear Distributed Parameter Systems with Time-Varying Delays. Automatica , 45 , No. 2, pp. 194-201, 2009.
  73. A. Seuret, C. Edwards, S. Spurgeon and E. Fridman. Static output feedback sliding mode control design via an artificial stabilizing delay. IEEE Trans. on Automatic Control , 54, no.2, pp. 256-265, 2009.
  74. E. Fridman and G. Tsodik. H infinity Control of Distributed and Discrete Delay Systems via Discretized Lyapunov Functional. European Journal of Control , No.1, pp. 84-94, 2009.
  75. W. Michiels, E. Fridman and S. Niculescu. Robustness assessment via stability radii in delay parameters. Int. Journal of Robust and Nonlinear Control , 2009.
  76. S. Nicaise, J. Valein and E. Fridman. Stability of the heat and of the wave equations with boundary time-varying delays. Discrete and Continuous Dynamical Systems - S , 2, no. 3, September 2009, pp. 559-581.
  77. E. Fridman and Y. Orlov. An LMI Approach to $H_{\infty}$ Boundary Control of Semilinear Parabolic and Hyperbolic Systems. Automatica , 45, no. 9, pp. 2060-2066, 2009.
  78. E. Fridman and M. Dambrine. Control under Quantization, Saturation and Delay: A LMI approach. Automatica , 2009, no. 10, 2258-2264.
  79. X. R. Han, E. Fridman, S. Spurgeon and C. Edwards. On the Design of Sliding Mode Static Output Feedback Controllers for Systems with State Delay". IEEE Transactions on Industrial Electronics , 56, no. 9, 2009.
  80. E. Fridman, U. Shaked and K. Liu. New Conditions for Delay-Derivative-Dependent Stability. Automatica , 45, no. 11, pp. 2723-2727, 2009.
  81. E. Fridman. A refined input delay approach to sampled-data control. Automatica , 46, pp. 421-427, 2010.
  82. E. Fridman, S. Nicaise and J. Valein Stabilization of second order evolution equations with unbounded feedback with time-dependent delay. SIAM J. Control \& Optimization , 48, No. 8, pp. 5028–-5052, 2010.
  83. X.- R. Han, E. Fridman, S. Spurgeon Sliding Mode Control of Uncertain Systems in the Presence of Unmatched Disturbances with Applications. International Journal of Control Vol. 83, No. 12, December 2010, 2413-2426.
  84. E. Fridman, S. Mondie, B. Saldivar Bounds on the Response of a Drilling Pipe Model. Special issue on Time-delay Systems in IMA J. of Math. Contr. & Information (2010) 27(4): 513-526.
  85. K. Liu, V. Suplin, E. Fridman Stability of Linear Systems with a General Sawtooth Delay. Special issue on Time-delay Systems in IMA J. of Math. Contr. & Information (2010) 27(4): 419-436.
  86. J. Gomes de Silva, A. Seuret, E. Fridman, J.-P. Richard. Stabilization of Neutral Systems with Saturating Control Inputs. International Journal of Systems Science , Vol. 42, No. 7, July 2011, 1093–1103.
  87. K. Liu and E. Fridman. Networked-Based Stabilization via Discontinuous Lyapunov Functionals. Int. Journal of Robust and Nonlinear Control , Vol.22, 420–436, 2012.
  88. A. Kruszewski, W. Jiang, E. Fridman, J.-P. Richard and A. Toguyeni. A Switched System Approach to Exponential Stabilization through Communication Network. IEEE Control System Technology. , 20, 887 - 900, 2012.
  89. K. Liu and E. Fridman. Wirtinger's Inequality and Lyapunov-Based Sampled-Data Stabilization. Automatica, 48, pp.102–108, 2012.
  90. E. Fridman and A. Blighovsky. Robust Sampled-Data Control of a Class of Semilinear Parabolic Systems. Automatica, 48, 826-836, 2012.
  91. V. Glizer and E. Fridman. Stability of Singularly Perturbed Functional-Differential Systems: a Spectrum Analysis and an LMI Approaches. IMA J. of Math. Contr. & Information, 2012.
  92. K. Liu, E. Fridman and L. Hetel. Stability and $L_2$-gain Analysis of Networked Control Systems under Round-Robin Scheduling: A Time-Delay Approach. Systems & Control Letters , 61, 666-675, 2012.
  93. X.- R. Han, E. Fridman, S. Spurgeon Sliding Mode Control in the Presence of Input Delay: A Singular Perturbation Approach. Automatica 2012.