Joachim Rosenthal's Publications

General Info:

Most of the unpublished papers and some recent papers in this list can be downloaded from my preprint server. Older papers are provided upon request.
Research supported by NSF Grant No. DMS-96-10389 , DMS-00-72383 , DMS-01-39236 and CCR-ITR--02-05310 .
In the following the homepages of some of my coauthors:
Joan-Josep Climent, Heide Gluesing-Luerssen, Guangyue Han, Gerard Maze, Chris Monico, M. S. Ravi, Hans Schumacher, Roxana Smarandache, Frank Sottile , Alex Wang, Paul Weiner, Jan C. Willems , Pascal Vontobel , Andrei Zelevinsky.

Books:

Journal Publications and Chapter of Books:

  1. J. Rosenthal. Tuning natural frequencies by output feedback. In K. Bowers and J. Lund, editors, Computation and Control, pages 276-282. Birkhäuser Verlag, Boston, 1989.
  2. J. Rosenthal. New results in pole assignment by real output feedback. SIAM J. Control Optim., 30(1):203-211, 1992.
  3. J. Rosenthal. A compactification of the space of multivariable linear systems using geometric invariant theory. Journal of Math. Systems, Estimation & Control, 2(1):111-121, 1992.
  4. J. Rosenthal and X. Wang. What is the distance between two autoregressive systems. In K. Bowers and J. Lund, editors, Computation and Control III, pages 333-340. Birkhäuser Verlag, Boston, 1993.
  5. X.Wang and J.Rosenthal. Hasse Diagram and Dynamic Feedback of Linear Systems," Computation and Control III (K.Bowers and J.Lund, eds.) Birkhäuser, Boston, 1993, pp. 391-398.
  6. J. Rosenthal. On dynamic feedback compensation and compactification of systems. SIAM J. Control Optim., 32(1):279-296, 1994.
  7. M. S. Ravi and J. Rosenthal. A smooth compactification of the space of transfer functions with fixed McMillan degree. Acta Appl. Math, 34:329-352, 1994.
  8. J. A. Ball and J. Rosenthal. Pole placement, internal stabilization and interpolation conditions for rational matrix functions: a Grassmannian formulation. In P. van Dooren and B. Wyman, editors, Linear Algebra for Control Theory, volume 62 of IMA Vol. in Math. and its Appl., pages 21-30. Springer Verlag, 1994.
  9. J. Rosenthal, M. Sain, and X. Wang. Topological considerations for autoregressive systems with fixed Kronecker indices. Circuits Systems Signal Process, 13(2-3):295-308, 1994.
  10. X. Wang and J. Rosenthal. A cell structure for the set of autoregressive systems. Linear Algebra Appl., 205/206:1203-1226, 1994.
  11. M. S. Ravi, J. Rosenthal, and X. Wang. On generic stabilizability and pole assignability. Systems & Control Letters, 23(2):79-84, 1994.
  12. U. Helmke and J. Rosenthal. Eigenvalue inequalities and Schubert calculus. Mathematische Nachrichten, 171:207-225, 1995.
  13. B. K. Ghosh and J. Rosenthal. A generalized Popov-Belevitch-Hautus test of observability. IEEE Trans. Automat. Control, AC-40(1):176-180, 1995.
  14. M. S. Ravi and J. Rosenthal. A general realization theory for higher order linear differential equations. Systems & Control Letters, 25(5):351-360, 1995.
  15. M. S. Ravi, J. Rosenthal, and X. Wang. On decentralized dynamic pole placement and feedback stabilization. IEEE Trans. Automat. Contr., 40(9):1603-1614, 1995.
  16. J. Rosenthal, J. M. Schumacher, and J. C. Willems. Generic eigenvalue assignment by memoryless real output feedback. Systems & Control Letters, 26:253-260, 1995.
  17. J. Rosenthal. An observability criterion for dynamical systems governed by Riccati differential equations. IEEE Trans. Automat. Contr., 41(3):434-436, 1996.
  18. M. S. Ravi, J. Rosenthal, and X. Wang. Dynamic pole assignment and Schubert calculus. SIAM J. Control Optim., 34(3):813-832, 1996.
  19. J. Rosenthal and X. Wang. Output feedback pole placement with dynamic compensators. IEEE Trans. Automat. Contr., 41(6):830-843, 1996.
  20. J. Rosenthal, J. M. Schumacher, and E.V. York. On behaviors and convolutional codes. IEEE Trans. Inform. Theory, 42(6):1881-1891, 1996.
  21. J. Rosenthal and E.V. York. On the generalized Hamming weights of convolutional codes. IEEE Trans. Inform. Theory, 43(1):330-335, 1997.
  22. U. Helmke, J. Rosenthal, and J. M. Schumacher. A controllability test for general first-order representations. Automatica, 33(2):193-201, 1997.
  23. J. Rosenthal and X. Wang. Inverse eigenvalue problems for multivariable linear systems. In C. I. Byrnes, B. N. Datta, D. Gilliam, and C. F. Martin, editors, Systems and Control in the Twenty-First Century, pages 289-311. Birkäuser, Boston-Basel-Berlin, 1997.
  24. M. S. Ravi, J. Rosenthal, and J. M. Schumacher. Homogeneous behaviors. Math. Contr., Sign., and Syst., 10:61-75, 1997.
  25. J. Rosenthal and J. M. Schumacher. Realization by inspection. IEEE Trans. Automat. Contr., AC-42(9):1257-1263, 1997.
  26. W. Helton, J. Rosenthal, and X. Wang. Matrix extensions and eigenvalue completions, the generic case. Trans. Amer. Math. Soc., 349(8):3401-3408, 1997.
    AMS site for downloading the paper.
  27. M. S. Ravi, J. Rosenthal, and X. Wang. Degree of the generalized Plücker embedding of a quot scheme and quantum cohomology. Math. Ann., 311(1):11-26, 1998.
    Springer site for downloading the paper.
  28. J. Rosenthal and F. Sottile. Some remarks on real and complex output feedback. Systems & Control Letters, 33(2):73-80, 1998.
    Journal site of paper.
  29. J. Rosenthal and J. C. Willems. Open problems in the area of pole placement. In V.D. Blondel, E.D. Sontag, M. Vidyasagar, and J.C. Willems, editors, Open Problems in Mathematical Systems and Control Theory, chapter 37, pages 181-191. Springer-Verlag, London, Berlin, New York, 1998.
  30. J. Rosenthal. An optimal control theory for systems defined over finite rings. In V.D. Blondel, E.D. Sontag, M. Vidyasagar, and J.C. Willems, editors, Open Problems in Mathematical Systems and Control Theory, chapter 38, pages 193-201. Springer-Verlag, London, Berlin, New York, 1998.
  31. V. Lomadze, M. S. Ravi, J. Rosenthal, and J. M. Schumacher. A behavioral approach to singular systems. Acta Appl. Math, 54(3):331-344, 1998.
    Kluwer site of Journal.
  32. B.M. Allen and J. Rosenthal. A matrix Euclidean algorithm induced by state space realization. Linear Algebra Appl., 288:105-121, 1999.
    Elsevier site for downloading the paper.
  33. J. Rosenthal. An algebraic decoding algorithm for convolutional codes. In G. Picci and D.S. Gilliam, editors, Dynamical Systems, Control, Coding, Computer Vision: New Trends, Interfaces, and Interplay, pages 343-360. Birkäuser, Boston-Basel-Berlin, 1999.
    Birkhauser site for book.
  34. J. Leventides, J. Rosenthal, and X. Wang. The pole placement problem via PI feedback controllers. Internat. J. Control, 72(12):1065-1077, 1999.
  35. J. Rosenthal and E.V. York. BCH convolutional codes. IEEE Trans. Inform. Theory, 45(6):1833-1844, 1999.
  36. J. Rosenthal and R. Smarandache. Maximum distance separable convolutional codes. Appl. Algebra Engrg. Comm. Comput., 10(1):15-32, 1999.
    Springer site for downloading the paper.
  37. J. Rosenthal and X. Wang. Eigenvalue completions by affine varieties. Preprint, March 1997. Proc. of Amer. Math. Soc. 128(3):643--646, 2000.
    AMS site for downloading the paper.
  38. H. Gluesing-Luerssen, J. Rosenthal, and P. A. Weiner. Duality between multidimensional convolutional codes and systems. In F. Colonius, U. Helmke, F. Wirth, and D. Praetzel-Wolters, editors, Advances in Mathematical Systems Theory, A Volume in Honor of Diederich Hinrichsen, pages 135--150. Birkhauser, Boston, 2000.
  39. J. Rosenthal. Connections between linear systems and convolutional codes.
    In B. Marcus and J. Rosenthal editors, "Codes, Systems and Graphical Models", IMA Vol 123, pages 39-66, Sprinegr Verlag, 2000.
  40. J. Rosenthal and A. Zelevinsky. Multiplicities of points on Schubert varieties in Grassmannians
    Journal of Algebraic Combinatorics
    13:213--218, 2001.
    Kluwer site for downloading the paper.
  41. R. Smarandache, H. Gluesing-Luerssen and J. Rosenthal. Constructions of MDS-convolutional codes.
    IEEE Trans. Inform. Theory. , 47(5):2045--2049, 2001.
    (PDF file)
  42. J. Rosenthal and X. Wang. The multiplicative inverse eigenvalue problem over an algebraically closed field.
    SIAM J. Matrix Anal. Appl. 23(2):517--523, 2001.
    SIAM site for downloading the paper.
  43. J. Rosenthal. Minimal bases of rational vector spaces and their importance in algebraic systems theory. In R. E. Blahut and R. Koetter, editors, Codes, Graphs, and Systems, pages 345-357. Kluwer Academic Publishers, 2002.
  44. M. S. Ravi, J. Rosenthal, and U. Helmke. Output feedback invariants. Linear Algebra Appl., 351-352:623-637, 2002.
  45. J. Rosenthal. A polynomial description of the Rijndael advanced encryption standard. J. Algebra Appl., 2(2):223-236, 2003.
  46. M. Kim, J. Rosenthal, and X. Wang. Pole placement and matrix extension problems: A common point of view. SIAM J. Control Optim., 42(6):2078 - 2093, 2004.
  47. D. N. Hoover, R. Longchamp, and J. Rosenthal. Two-degree-of-freedom \ell_2-optimal tracking with preview. Automatica, 40(1):155-162, 2004.
  48. R. Hutchinson, J. Rosenthal and R. Smarandache. Convolutional codes with maximum distance profile. Systems & Control Letters, 54(1):53-63, 2005.
  49. H. Gluesing-Luerssen, J. Rosenthal and R. Smarandache. Strongly MDS-convolutional codes.
    E-print math.RA/0303254, March, 2003.
  50. G. Han and J. Rosenthal. Geometrical and numerical design of structured unitary space time constellations.
    E-print math.OC/0312170, December 2003.
  51. G. Han and J. Rosenthal. Unitary space time constellation analysis: An upper bound for the diversity.
    E-print math.CO/0401045, January 2004.
  52. G. Maze, C. Monico and J. Rosenthal. Public key cryptography based on semigroup actions. Preprint, December, 2004.

    Publications in Conference Proceedings:

  53. J. Rosenthal. On minimal order dynamical compensators of low order systems. In Proc. of European Control Conference, pages 374-378, Grenoble, France, 1991.
  54. J. Rosenthal and M. K. Sain. On Kronecker indices of transfer functions and autoregressive systems. In Proc. of the Second Int. Symposium on Implicit Systems, pages 173-176, Warsaw University of Technology, Warsaw, Poland, July 1991.
  55. M. S. Ravi, J. Rosenthal, and X. Wang. On homogeneous autoregressive systems. In Proceedings of Symposium on Implicit and Nonlinear Systems, pages 229-235. The University of Texas at Arlington, December 1992.
  56. J. Rosenthal and M. S. Ravi. Dynamic pole placement and the connection to geometry. In Proc. of the 31st IEEE Conference on Decision and Control, pages 179-180, Tucson, Arizona, 1992.
  57. X. Wang and J. Rosenthal. Pole placement with small order dynamic compensators. In Proc. of the 31st IEEE Conference on Decision and Control, pages 3098-3099, Tucson, Arizona, 1992.
  58. J. Rosenthal, M. S. Ravi, and X. Wang. On subsets of autoregressive systems and stabilization conditions. In Proc. of European Control Conference, pages 1879-1882, Groningen, The Netherlands, 1993.
  59. J. Rosenthal, M. S. Ravi, and X. Wang. On decentralized dynamic feedback compensation. In Proc. of the 32nd IEEE Conference on Decision and Control, pages 357-358, San Antonio, Texas, 1993.
  60. M. S. Ravi, J. Rosenthal, and X. Wang. Robustness of autoregressive systems. In Proc. of the 32nd IEEE Conference on Decision and Control, pages 2878-2879, San Antonio, Texas, 1993.
  61. X. Wang, M. S. Ravi, and J. Rosenthal. Algebraic and combinatorial aspects of the dynamic pole assignment problem. In U. Helmke, R. Mennicken, and J. Saurer, editors, Systems and Networks: Mathematical Theory and Applications, volume 79 of Mathematical Research, pages 547-550. Akademie Verlag, Berlin, Germany, 1994. Proc. of the International Symposium MTNS 93 held in Regensburg Germany. Vol II: Invited and contributed papers.
  62. J. Rosenthal and E. York. An ideal theoretic approach for classifying high rate convolutional codes. In Proceedings of the 1994 IEEE International Symposium on Information Theory, page 169, Trondheim, Norway, 1994.
  63. X. Wang, M. S. Ravi, and J. Rosenthal. Recent applications of algebraic geometry in linear system theory. In J. G. Lewis, editor, Proc. of Fifth SIAM Conference on Applied Linear Algebra, held in Snowbird, Utah, pages 206-210. SIAM, 1994.
  64. J. Rosenthal and E.V. York. Linear systems defined over a finite field, dynamic programming and convolutional codes. In Proc. of the IFAC Conference on System Structure and Control, pages 466-471, Nantes, France, 1995.
  65. U. Helmke, J. Rosenthal, and J. M. Schumacher. A controllability test for behavior systems. In Proc. of the IFAC Conference on System Structure and Control, pages 318-323, Nantes, France, 1995.
  66. M. S. Ravi, J. Rosenthal, and J. M. Schumacher. A realization theory for homogeneous AR-systems, an algorithmic approach. In Proc. of the IFAC Conference on System Structure and Control, pages 183-188, Nantes, France, 1995.
  67. J. Rosenthal and E. York. Generalized Hamming weights for convolutional codes. In Proceedings of the 1995 IEEE International Symposium on Information Theory, page 162, Whistler, British Columbia, 1995.
  68. J. Rosenthal and E. York. First order representations for convolutional encoders. In Proceedings of the 1995 IEEE International Symposium on Information Theory, page 165, Whistler, British Columbia, 1995.
  69. M. S. Ravi, J. Rosenthal, and J. M. Schumacher. System equivalences and canonical forms from a behavioral point of view. In Proc. of the 34th IEEE Conference on Decision and Control, pages 484-489, New Orleans, Louisiana, 1995.
  70. M. S. Ravi, J. Rosenthal, and X. Wang. Dynamic pole assignment for systems in generalized first order form: A report on results derived by algebro-geometric techniques. In Proc. of the 34th IEEE Conference on Decision and Control, pages 1900-1904, New Orleans, Louisiana, 1995.
  71. J. Rosenthal, J. M. Schumacher, X. Wang, and J. C. Willems. Generic eigenvalue assignment for generalized linear first order systems using memoryless real output feedback. In Proc. of the 34th IEEE Conference on Decision and Control, pages 492-497, New Orleans, Louisiana, 1995.
  72. J. Rosenthal and X. Wang. Eigenvalue assignment by dynamic output feedback: A new sufficiency criterion in the real case. In Proc. of the 34th IEEE Conference on Decision and Control, pages 2710-2715, New Orleans, Louisiana, 1995.
  73. E.V. York, J. Rosenthal, and J. M. Schumacher. On the relationship between algebraic systems theory and coding theory: Representations of codes. In Proc. of the 34th IEEE Conference on Decision and Control, pages 3271-3276, New Orleans, Louisiana, 1995.
  74. B. Allen and J. Rosenthal. Analysis of convolutional encoders via generalized sylvester matrices and state space realization. In Proc. of the 34-th Allerton Conference on Communication, Control, and Computing, pages 893-902, 1996.
  75. C. Peterson, J. Rosenthal, and P. A. Weiner. Connections between multidimensional systems theory and algebraic geometry. In Proc. of the 34-th Allerton Conference on Communication, Control, and Computing, pages 583-592, 1996.
  76. B. Allen and J. Rosenthal. Analyzing convolutional encoders using realization theory. In Proceedings of the 1997 IEEE International Symposium on Information Theory, page 287, Ulm, Germany, 1997.
  77. J. Rosenthal and E.V. York. A construction of binary BCH convolutional codes. In Proceedings of the 1997 IEEE International Symposium on Information Theory, page 291, Ulm, Germany, 1997.
  78. J. Rosenthal and R. Smarandache. Construction of convolutional codes using methods from linear systems theory. In Proc. of the 35-th Annual Allerton Conference on Communication, Control, and Computing, pages 953-960, 1997.
  79. M. S. Ravi, J. Rosenthal, and U. Helmke. On output feedback invariants and cascade equivalence of systems. In Proc. of the 36th IEEE Conference on Decision and Control, pages 4243-4248, San Diego, California, 1997.
  80. J. Rosenthal. Some interesting problems in systems theory which are of fundamental importance in coding theory. In Proc. of the 36th IEEE Conference on Decision and Control, pages 4574-4579, San Diego, California, 1997.
  81. R. Smarandache and J. Rosenthal. A state space approach for constructing MDS rate 1/n convolutional codes. In Proceedings of the 1998 IEEE Information Theory Workshop on Information Theory, pages 116-117, Killarney, Kerry, Ireland, June 1998.
  82. B. M. Allen and J. Rosenthal. Parity-check decoding of convolutional codes whose systems parameters have desirable algebraic properties. In Proceedings of the 1998 IEEE International Symposium on Information Theory, page 307, Boston, MA, 1998.
  83. R. Smarandache and J. Rosenthal. Convolutional code constructions resulting in maximal or near maximal free distance. In Proceedings of the 1998 IEEE International Symposium on Information Theory, page 308, Boston, MA, 1998.
  84. J. Rosenthal and R. Smarandache. On the dual of MDS convolutional codes. In Proc. of the 36-th Annual Allerton Conference on Communication, Control, and Computing, pages 576-583, 1998.
  85. R. Smarandache, H. Gluesing-Luerssen, and J. Rosenthal. Generalized first order descriptions and canonical forms for convolutional codes. In A. Beghi, L. Finesso, and G. Picci, editors, Mathematical Theory of Networks and Systems, pages 1091-1094, July 1998. Proceedings of the MTNS-98 Symposium held in Padova, Italy.
  86. C. Monico, J. Rosenthal, and A. Shokrollahi. Using low density parity check codes in the McEliece cryptosystem. In Proceedings of the 2000 IEEE International Symposium on Information Theory, page 214, Sorrento, Italy, 2000.
  87. R. Smarandache, H. Gluesing-Luerssen, and J. Rosenthal. Construction results for MDS-convolutional codes. In Proceedings of the 2000 IEEE International Symposium on Information Theory, page 294, Sorrento, Italy, 2000.
  88. J. Rosenthal and P. Vontobel. Constructions of LDPC Codes Using Ramanujan Graphs and Ideas from Margulis. In Proc. of the 38-th Annual Allerton Conference on Communication, Control, and Computing, pages 248-257, 2000.
  89. J. Rosenthal and P. Vontobel. Constructions of Regular and Irregular LDPC Codes using Ramanujan Graphs and Ideas from Margulis. In Proceedings of the 2001 IEEE International Symposium on Information Theory, page 4, Washington DC, 2001.
  90. G. Han, K. Portman, and J. Rosenthal. Unitary matrices with maximal or near maximal diversity product. In Proc. of the 39-th Allerton Conference on Communication, Control, and Computing, pages 82-91, 2001.
  91. G. Maze, C. Monico, and J. Rosenthal. A public key cryptosystem based on actions by semigroups. In Proceedings of the 2002 IEEE International Symposium on Information Theory, page 266, Lausanne, Switzerland, 2002.
  92. R. Smarandache, H. Gluesing-Luerssen, and J. Rosenthal. Strongly MDS convolutional codes, a new class of codes with maximal decoding capability. In Proceedings of the 2002 IEEE International Symposium on Information Theory, page 426, Lausanne, Switzerland, 2002.
  93. G. Han and J. Rosenthal. Unitary constellation design with application to space-time coding. In D. Gilliam and J. Rosenthal editors, Mathematical Theory of Networks and Systems, (12 pages), August 2002. Electronic Proceedings MTNS-2002 Symposium held in at the University of Notre Dame.
  94. G. Maze, C. Monico, J. Climent and J. Rosenthal. Public key cryptography based on simple modules over simple rings In D. Gilliam and J. Rosenthal editors, Mathematical Theory of Networks and Systems, (8 pages), August 2002. Electronic Proceedings MTNS-2002 Symposium held in at the University of Notre Dame.
  95. R. Smarandache, H. Gluesing-Luerssen, and J. Rosenthal. Construction and decoding of strongly MDS convolutional codes In D. Gilliam and J. Rosenthal editors, Mathematical Theory of Networks and Systems, (6 pages), August 2002. Electronic Proceedings MTNS-2002 Symposium held in at the University of Notre Dame.
  96. G. Han and J. Rosenthal. Unitary Constellations with Large Diversity Sum and Good Diversity Product. In Proc. of the 40-th Allerton Conference on Communication, Control, and Computing, pages 48-57, 2002.
  97. E. Byrne, C. Kelley, C. Monico, and Rosenthal J. Non-linear codes for belief propagation. In Proceedings of the 2003 IEEE International Symposium on Information Theory, page 43, Yokohama, JAPAN, 2003.
  98. G. Han and Rosenthal J. A numerical approach for designing unitary space time codes with large diversity product and diversity sum. In Proceedings of the 2003 IEEE International Symposium on Information Theory, page 178, Yokohama, JAPAN, 2003.
  99. H. Gluesing-Luerssen, R. Hutchinson, J. Rosenthal and R. Smarandache. Convolutional codes which are maximum distance separable and which have a maximum distance profile. In Proc. of the 41st Allerton Conference on Communication, Control, and Computing, pages 844-852, 2003.
  100. C. Kelley, J. Rosenthal, and D. Sridhara. Some new algebraic constructions of codes from graphs which are good expanders. In Proc. of the 41st Allerton Conference on Communication, Control, and Computing, pages 1280-1289, 2003.
  101. C. Kelley, D. Sridhara, J. Xu and J. Rosenthal. Pseudocodeword weights and stopping sets. In Proceedings of the 2004 IEEE International Symposium on Information Theory, Chicago, 2004.
  102. J. C. Interlando, E. Byrne, and J. Rosenthal, The gate complexity of syndrome decoding of Hamming codes. In Proceedings of the Tenth International Conference on Applications of Computer Algebra, pages 33-37, Beaumont, Texas, 2004.

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