Publications
Bostwick F. Wyman

 


1. "Wildly Ramified Gamma Extensions", Amer. J. Math. , 91 (1970), MR 39, #2726,135-152.

2. "What is a Reciprocity Law?", Amer. Math. Monthly, 79 (1972), 571-586. Reprinted in MAA selected papers on algebra, 1978.

3. (with Y. Rouchaleau and R. E. Kalman) Algebraic Structures of Linear Dynamical Systems III. Realization Theory Over a Commutative Ring, Proc. Nat. Acad. Sci. , 69 (1972), 3404-3406.

4. Hilbert Class Fields and Group Extensions, Scripta Math., 29 (1973), 141-149.

5. (with Y. Rouchaleau) "Linear Dynamical Systems Over Integral Domains", J. Comput. System Sci., 9 (1974), 129-142.

6."Linear Systems Over Rings of Operators", Proceedings of Symposium on Category Theory Applied to Computation and Control, Lecture Notes Computer Science 25, Springer-Verlag ,1975, 218-223.

7. (with J. Rissanen) "Duals of Input/Output Maps", Proceedings of Symposium on

Category Theory Applied to Computation and Control, Ibid, 204-208.

8. "Linear Difference Systems on Partially Ordered Sets" Proc. CNR-CISM Symposium on Algebraic System Theory (Udine, 1975), Lec. Notes in Econ and Math. Systems, 131, Springer-Verlag, 1976.

9. "Linear Systems Over Commutative Rings, " Lecture Notes (Stanford Seminar, 1972) unpublished but widely circulated.

10. (with W. S. Ching) "Duality and the Regulator Problem for Linear Systems Over Commutative Rings", J. Computer System Science, 14 (1977), 360-368.

11. "Time-varying Linear Difference Systems", Proc. IEEE 1976 Conference on

Decision and Control, 1184-1188.

12. "Time-varying Linear Discrete-time Systems - Realization Theory," Advances in Math., Supp. Studies, Vol. I, Academic Press, 1978, 233-258.

13. "Pole Placement over Integral Domains, " Comm. in Algebra, 6, 1978, 969-993.

14. (with H. Hemami) "Modelling and Control of Constrained Dynamic Systems with Application to Biped Locomotion in the Frontal Plane,"IEEE Trans. Auto Control, AC-24, 1979, 526-535.

15. "Time-varying Linear Discrete-time Systems: Duality, " Pacific J. of Math (Hochschild volume), 86, 1980, 361-377.

16. (with H. Hemami) "Indirect Control of the Forces of Constraint in Dynamic Systems," J. Dynamic Systems, Measurement, and Control, 1979.

17. "Duality for Time-varying Linear Systems on Posets," Proc. 21st Midwest Symposium on Circuits and Systems, August 1978.

18. (with M. K. Sain) "Rings of Transfer Functions, " AMS abstract for invited session, November 1978.

19. (with E. Fornasini) "Linear systems on free groups," Proc. IEEE Conf. on Decision and Control, January 1979.

20. (with M. K. Sain) "Essential Inverses and System Zeros", IEEE Conference on Decision and Control, December 1979.

21. (with M. K. Sain) "The Zero Module and Essential Inverse Systems," IEEE Trans. Circuits and Systems, CAS-28, February 1981, 112-126.

22. (with M. K. Sain) "The Structure of Inverse Systems," IFAC, Kyoto, 1981.

23. (with H. Hemami and A. Ceranowicz) "Control of Constrained Systems of Controllability Index Two, " IEEE Trans. Auto. Control , AC-25, No. 6 (1980), 1102-1109.

24. Abstract for 23, Proc.of the IEEE Conference on Decision and Control, Albuquerque, NM, December 1980.

25. (with M. K. Sain) "Zero Modules and Invariant Subspaces, " Proc. of IEEE Conference on Decision and Control, December 1980.

26. (with M. K. Sain, et.al.) "The Total Synthesis Problem in LInear Multivariable Design, Part I: Nominal Design, " Proc. J.A.C.C., Charlottesville, VA, June 1981.

27. (with M. K. Sain, et.al.) "Total Synthesis Problem in Linear Multivariable Design, Part II: Unity Feedback and the Design Morphism, " Proc. of IEEE Conference on Decision and Control , San Diego, CA, December 1981.

28. (with M. K. Sain) "Exact Sequences for Pole-zero Cancellation, " Proc Symposium for Math.Theory of Networks and Systems, Santa Monica, CA, August 1981.

29. (with M. K. Sain) "Internal Zeros and the System Matrix," Proc. Allerton Conference, November 1981.

30. (with H. Hemami and B. Bavarian) "Control of the Simple Inverted Pendulum, " International Journal of Control, 37, 1983.

31. (with M. K. Sain) "The Zero Module of a Minimal Realization, " Linear Algebra and Its Applications, 50, 1983.

32. (with K. Dudek and M. Sain) "Module Considerations for Feedback Synthesis of Sensitivity Comparisons," Proc. Allerton Conference, 1983.

33. (with M. K. Sain) "A Unified Pole-Zero Module for Linear Transfer Functions," Systems and Control Letters, 5, 1984.

34. (with H. Hemami and B. Bavarian) "Dynamic Compensation and Decoupling for Uniform Index 2," IEEE Trans. Auto. Control, AC-30, 1985.

35. (with M. K. Sain) "Poles, Zeros, and Lattices," Proc. AMS Summer Research Conference in Linear Algebra and Its Role in Systems Theory, Brunswick, Maine, August 1984; AMS Contemporary Math, 47.

36. (with M. K. Sain) "On the Design of Pole Modules for Inverse Systems", IEEE Trans.on Circuits and Systems, CAS-32, 1985, 977-988.

37. (with Myra F. Wyman) "An Essay on Continued Fractions," annotated translation of Leonhard Euler, "De Fractionibus Continuis Dissertatio," Eneström 71, Opera Omnia : I-14, Math. System Theory, 18, 1985,

38. (with G. Conte and A. Perdon) "Local and Global System Theory, " Frequency Domain and State Space Methods for LInear Systems, ed. Byrnes and Lindquist, North Holland, 1986, 165-181.

39. (with G. Conte and A. Perdon) "Zero-Pole Structure of LInear Transfer Functions, " Proc. IEEE Decision and Control Conf. ., Ft. Lauderdale, December 1985.

40. (with M. K. Sain) "System Matrices and Zeros, "Proc. IEEE Decision and Control Conf. , Ft. Lauderdale, December 1985.

41. (with M. K. Sain) "On Dual Zero Spaces and Inverse Systems, "IEEE Trans. Automatic Control, AC-31, November 1986, 1053-1055.

42. (with G. Conte and A. Perdon) "Factorizations of Transfer Functions," Proc of the 25th IEEE Conference on Decision and Control, Athens, December 1986.

43. (with M. K. Sain) "Zero Spaces, Pole Spaces, Duals and Inverse Systems, " Proc. 24th Allerton Conference, October 1986.

44. (with M. K. Sain) "Module Theoretic Zero Structures and System Matrices," SIAM J. Control and Optimization , 25. Jan. 1987, 86-99.

45. (with J.-Y. Han) "Reachability of Linear Closed Constraint Systems, " Proc. 29th Midwest Symposium on Circuits and Systems, Lincoln, NE, August 1986.

46. (with G. Conte and A. Perdon) " Factorization of Transfer Functions," SIAM J. Cont. Opt., 26, pp. 356-368, March 1988.

47. (with J.-Y. Han) "Reachability of Linear Systems with Subspace Open Constraints, " in SIAM Conference Proceedings on Linear Algebra in Signals, Systems, and Control.

48. (with M.K. Sain,) "Zeros of Square Invertible Systems," C. Byrnes et. al, ed., Linear Circuits, Systems and Signal Processing, North-Holland: Amsterdam, 1988, pp. 109-115.

49.(with M.K. Sain) "The Fixed Zero Constraint in Dynamical System Performance," in C. Byrnes et. al. , ed., Linear Circuits, Systems and Signal Processing , North-Holland: Amsterdam, 1988, pp. 81-86.

50. ( with M.K. Sain) "Zeros in Plant Specification: Constraints and Essential Solutions," 1988 American Control Conference, pp. 1243-1248.

51. (with G. Smithberger) "Linear Systems Over Finite Fields," IEEE Control and Decision Conference, Dec. 1988, Austin, Texas.

52. (with M.K. Sain, J. L. Peczkowski, ) "On Complexity in Synthesis of Feedback Systems," Proc. Int. Conference on Advances in Communications and Control Systems, Baton Rouge, LA, Oct. 1988.

53. (with M.K. Sain, J. L. Peczkowski) "Classical and Extended Transmission Zeros: The Relationship in Model Matching," Allerton Conference, 1988.

54. (with M.K. Sain, J. L. Peczkowski) "Matching Zeros, A Fixed Constraint in Multivariable Synthesis, " I.E.E.E. Control and Decision Conference, Dec. 1988, Austin Texas.

55. (with M.Sain, G. Conte, A.-M. Perdon) "Rational Matrices: Counting the Poles and Zeros," 1988 Conference on Decision and Control, Austin, Texas.

56. (with M.Sain, G. Conte, A.-M. Perdon) "On the Zeros and Poles of a Transfer Function," Special issue on Systems and Control, Linear Algebra and Applications , Vol. 122/123/124 : pp. 123-144, 1989 .

57. (with M. Sain) "Filtrations in Linear System Theory, " Allerton Conference, October 1989.

58. (with G. Conte and A.-M. Perdon) "Algebraic and Geometric Indices for Singular Sy stems," 1989 Conference on Decision and Control.

59. "A linear asset/liability matching model," Nationwide Insurance Research Report, May 1990.

60. (with M. Sain) "The pole module of a feedback system compensator is contained in the zero module of the resulting feedback system," Realization and Modelling in System Theory (MTNS-89), Birkhaüser, 1990.

61. (with Sain) "Filtrations for Linear Systems," Proc. 27th Allerton Conference (held Sept. 1989, published 1990. )

62. (with Sain and C. Schrader) "A theorem on the effects of compensator poles on feedback system zeros," Proc. IEEE International Symposium on Circuits and Systems, pp. 1385-1388, May 1990.

63. (with Sain and C. Schrader) "Poles, Zeros, and Feedback: A Module Point of View," Proc. 33rd Midwest Symposium on Circuits and Systems, August 1990.

64. "Models and Modules: Kalman's Approach to Algebraic System Theory," Kalman Festschrift, Springer-Verlag (ed. Antoulas), 1991.

65. Proceedings of the OSU/Genoa Conference on New Trends in System Theory, editor (joint with Conte and Perdon), Birkhäuser:Boston , 1991.

66. (with M.K. Sain, J. L. Peczkowski) "Extended Zeros and Model Matching, " SIAM J. Control and Optimization, Volume 29, May 1991, pp. 562-593.

67. "Global Observability Indices," OSU/Genoa Proceedings, pp. 715 - 722.

68. (with Sain, Conte, Perdon) "Poles and Zeros of Matrices of Rational Functions," Linear Algebra and Applications , Special Issue on Algebraic Linear Algebra, Vol. 157: pp 113-139, 1991.

69. (with Sain, Conte, Perdon), "Algebraic and System Theoretic Notions of Poles and Zeros for Matrices of Rational Funcitons, " Rendiconti Sem. Mat., Università Politecnico Torino, Vol. 48, 1990, pp. 225 - 250. (Printed late 1991).

70. (Editor, joint with T. Ralley), Proceedings of the Technology Strategies Workshops for Summer 1991, distributed to Participants with N.S.F. Undergraduate Faculty Enhancement program support.

71. (with S. Giust) "Global Observability Filtrations for Improper Transfer Functions," Proc. International Symposium on Implicit and Nonlinear Systems, Ed. F. L. Lewis, Fort Worth, Dec. 1992, pages 244-251.

72. (Editor, joint with T. Ralley), Proceedings of the Technology Strategies Workshops for Summer 1992, distributed to Participants with N.S.F. Undergraduate Faculty Enhancement program support.

73. (with M. Rakowski and J. Ball) " Coupling Operators and Wedderburn-Forney Spaces," Linear Algebra and Applications, 203-204, pp. 111-138 (1994).

74. with M. Rakowski) " Complexity of Zero-defect Generalized Inverses of Transfer Functions," Systems and Networks: Mathematical Theory and Applications, Vol II, pp. 431-436.

75. (with S. Giust) " On the Role of Filtrations in the Algebraic Theory of Linear Systems", appeared in Systems and Networks: Mathematical Theory and Applications, Vol II, pp. 145-148.

76. (Editor, joint with Paul van Dooren), Proceedings of the I.M.A. Workshop on Linear Algebra and Control, held June 1992 in Minneapolis. Linear Algebra and Control Theory, Springer-Verlag, 1994.

77. B. Wyman, C. Schrader, S.J. Giust, "Controllability, Zeros, and Filtrations for Singular Systems," 1995 IEEE C.D.C., December 1995.

78.  B. Wyman,  "Poles, zeros, and sheaf cohomology,"  Linear Algebra and its Applications,   351-352,(2002) 799-807.