Publications

1. On the Generalization of a Quasi-Newtonian Method (with T. Frey), Periodica Polytechnica, v.23, 1979, 47--58.

2. Neutral Functional Integro-Differential Equations with Weakly Singular Kernels (with J.A.Burns and T.L.Herdman),J. Mathematical  Analysis and Applications, v.145, 1990, 371-401.

3. An Application of Finite Hilbert Transforms in the Derivation of a State-Space Model for an Aeroelastic System (with T.L.Herdman), J. Integral Equations and Applications , v.3., 1991, 271-287.

4. Numerical Methods for Singular Integro-Differential Equations Based on Semigroup Approximations (with K.Ito), SIAM J. Numerical Analysis, v.28, 1991, 1698-1722.

5. Uniform Approximation of a Nonlinear Delay Equation on Infinite Intervals (with I. Gyori), J. Nonlinear Analysis: Theory, Methods and Applications, v.17, 1991, 21-29.

6. Frequency Domain Analysis and Robust Control Design for an Ideal Flexible Beam ( with K.Lenz, H.Ozbay, A.Tannenbaum and B.Morton), Automatica, v.27, 1991, 947-961.

7. A Highly Accurate Method for the Evaluation of BEM System Matrices (with J.T.Borggaard and J.H.Kane), J. of Computers and Structures, v.40, 1991, 885-892.

8. Applications of Exact Linearization Techniques for Steady-State Stability Enhancement in a Weak AC/DC System (with S. Kaprielian and K.Clements), IEEE Transactions on Power Systems, v.7, 1992, 536-544.

9. Application of a Generalized Actuator Model to the Study of Energy Regeneration Control Strategies (with K.Heinzmann and B.Seth), J.of Dynamic Systems, Measurement, and Control; Transactions of ASME, v.114, 1992, 462-467.

10. On the Computation of the Adjoint Generator for a Singular Neutral Equation (with E.Fernandez and T.L.Herdman), J. of Applied Mathematics Letters, v.5, 1992, 19-23.

11. Spectral Conditions and an Explicit  Expression for the Stabilization of Hybrid Systems in the Presence of Feedback Delays (with K.L.Cooke and G.Turner), Quarterly J. on Applied Mathematics, v.LI, 1993, 147-159.

12. Automatic Deburring Utilizing a Real-Time Impedance Control Strategy (with M.S.Ali. M.N.Noori and B.Seth), J. of Computers and Structures, v.46, 1993, 561-571.

13. Singular Integro-Differential Equations and Product Spaces (with F.Kappel), J. of Mathematical Analysis and Applications, v.178,1993, 450-469.

14. A New Algorithm for Constructing Approximate Transformations for Nonlinear Systems (with L.R.Hunt), IEEE Transactions on Automatic Control, v.38, 1993, 1553-1556.

15. A Neutral Functional Differential Equation with Unbounded Kernel (with W.Desch), J. of Integral Equations and Applications, v.5, 1993, 569-582.

16. An Oscillation Result for Singular Neutral Equations (with I. Gyori). Canadian Mathematical Bulletin, v.37, 1994, 54-65.

17. On Input/Output Stabilization of Singular Integro-Differential Systems (with H.Ozbay), Applied Mathematics and Optimization, v.30, 1994, 21-49.

18. Stability, Instability in Delay Equations Modeling Human Respiration (with K.L.Cooke), J. Mathematical Biology, v.32, 1994, 535-543.

19. Neutral Equations and Associated Semigroups (with G.Tadmor), J. of Differential Equations, v.116, 1995, 59-87.

20. On the Asymptotic Behavior of the Solutions of a State-Dependent Delay Equation (with F.Hartung), J. Differential and Integral Equations, v.8, 1995, 1867-1872. (PS)

21. On Numerical Approximations for a Class of Differential Equations with State-Dependent Delays (with F.Hartung and I.Gyori), Appl. Math. Lett., v. 8, 1995, 19-24. (PS)

22. A "Natural" State-Space for an Aeroelastic Control System (with T.L.Herdman), J. of Integral Equations and Applications, v.7, 1996, 413-424.

23. On Well-Posedness of Singular Neutral Equations in the State Space C (with K.Ito and F.Kappel), J. Differential Equations, v.125, 1996, 40-72.

24. Asymptotic Theory for a Class of Functional Differential Equations with State-Dependent Delays (with W.Desch), J. of Mathematical Analysis and Applications, v.199, 1996, 75-87.

25. On Differentiability of Solutions with Respect to Parameters in State-Dependent Delay Equations (with F.Hartung), J. Differential Equations, v.135, 1997, 192-237. (PS)

26. On Existence, Uniqueness and Numerical Approximation for Neutral Equations with State-Dependent Delays (with F.Hartung and T.L.Herdman), Applied Numerical Mathematics, v.24, 1997, 393-409. (PS)

27. Identification of Parameters in Delay Equations with State-Dependent Delays (with F.Hartung), J. Nonlinear Analysis, Theory, Methods and Applications, v.29, 1997, 1303-1318. (PS)

28. Preservation of Stability in Delay Equations under Delay Perturbations (with F.Hartung and I.Gyori), J. of Mathematical Analysis and Applications, v.220, 1998, 290-312. (PS)

29. On a Class of Nonlinear BBM-Like Equations (with T.Hagen), J. of Computational and Applied Mathematics, v.17, 1998, 161-172.

30. A Semigroup Approach to a Class of Semilinear Parabolic Differential Equations (with T.Hagen), J. of Nonlinear Analysis, Theory, Methods and Applications, v.34, 1998, 17-35.

31. Preservation of  Stability Under Approximation for a Neutral FDE (with R.H.Fabiano), J. Dynamics of Continuous, Discrete and Impulsive Systems, v.5, 1999, 351-364.

32. The Stop Operator Related to a Convex Polyhedron (with W.Desch), J. Differential Equations, v.157, 1999, 329-347.

33. Parameter Identification in Classes of Neutral Differential Equations with State-Dependent Delays (with F.Hartung and T.L.Herdman), Nonlinear Analysis: Theory, Methods and Applications, v.39, 2000, 305-325. (PS)

34. Linearized Stability in Functional Differential Equations with State-Dependent Delays (with F. Hartung), Dynamical Systems and Differential Equations (an added volume to: Discrete and Continuous Dynamical Systems, 2001,  416-425. (PS)

35. Dynamics of Delayed Piecewise Linear Systems (with L. Kollar and G. Stepan), EJDE, Conference 10, 2003, 163-185.  (PS)

36. Making the Numerical Abscissa Negative for a Class of Neutral Equations (with R. H. Fabiano), Dynamical Systems and Differential Equations (an added volume to: Discrete and Continuous Dynamical Systems), 2003, 256-262.

37. Polarization in a Solid Body Caused by Nonuniform Deformation (with T. Odushkin), Physical Review B, v.69, 2004, 115412/1-7.

38. Dynamics of Piecewise Linear Discontinuous Maps (with L. Kollar and G. Stepan), International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, v. 14, 2004, 2341-2351.

39. Numerical Stability Analysis in Respiratory Control Models (with L. Kollar), Electronic Journal of Differential Equations, v. c12, 2005, 65-78

40. Approximate Stability Charts for Milling Processes Using Semi-Discretization (with F. Hartung, T. Insperger and G. Stepan), Applied Mathematics and Computation, v. 174, 2006, 51-73.

41. Self-Regulation in an Ecology Model of Shared Predation (with V. Gafiychuk), International Journal of Ecology and Development (Special Issue on: Modeling of Evolving Systems in Ecology and Economics), v. 5, 2006, 27-35.

42. Stochastic Variational Inequalities for Elasto-Plastic Oscillators (with A. Bensoussan), Comptes Rendus Acad. Sci. Paris, Ser. I, v. 343, 2006, 399-406.

43. State-Dependent Delay in Regenerative Turning Processes (with T. Insperger and G. Stepan), Nonlinear Dynamics, v. 47, 2007, 275-283.

44. Singularity Expansion for a Class of Neutral Equations (with Y. Cao, G. Cerezo, and T.L. Herdman), Journal of Integral Equations and Applications, v. 19, 2007, 13-32.

45. Stability Conditions for Differential-Difference Systems of Retarded- and Neutral- Type: The Single Delay Case (with R. H. Fabiano), International Journal on Qualitative Theory for Differential Equations and Applications, v. 1, (2007), 57-75.

46. Degenerate Dirichlet Problems Related to the Invariant Measure of Elasto-Plastic Oscillators (with A. Bensoussan), Applied Math. and Optimization, DOI 10.1007/s00245-007-9027-4, v. 58, (2008), 1-27.

47. On the Higher-Order Semi-Discretizations for Periodic Delayed Systems (with T. Insperger and G. Stepan), Journal of Sound and Vibration, v. 313 (2008), 334-341.

48. An Ultra Weak Finite Element Method as an Alternative to a Monte Carlo Method for an Elasto-Plastic Problem with Noise (with A. Bensoussan, L. Mertz, and O. Pironneau), SIAM. J. Numer. Anal., v. 47 (2009), 3374-3396.

49.Delayed Feedback of Sampled Higher Derivatives (with T. Insperger and G. Stepan), Phil. Trans. R. Soc. A., v. 368 (2010), 469-482.

50. Optimal Control of Variational Inequalities (with A. Bensoussan and K. Chandrasekaran), Communications in Information and Systems, v. 10, 2010, 203-220 .

Book Chapters

51. Well-Posedness of Functional Differential Equations with Nonatomic D-Operators (with J. A. Burns and T. L. Herdman),in Trends in Theory and Practice of Nonlinear Analysis'', V. Lakshmikantham, ed., Academic Press,
New York, 1985, 71-78.

52. Nonatomic Neutral Functional Differential Equations (with  J. A. Burns and T. L. Herdman), in Nonlinear Analysis and Applications'', V. Lakshmikantham, ed., Marcel-Dekker, 1987, 635-646.

53. On Integral Transforms Appearing in the Derivation of the Equations of an Aeroelastic System (with J. A. Burns, E. M. Cliff and T. L. Herdman), in Nonlinear Analysis and Applications'', V.Lakshmikantham, ed., Marcel-Dekker, 1987, 89-98.

54. State-Space Formulation for Functional Differential Equations of Neutral-Type (with J. A. Burns and T. L. Herdman), in Nonlinear Semigroups, Partial Differential Equations and Attractors'', Lecture Notes in Mathematics, v.1394, T. L. Gill and W. W. Zachary, eds., Springer-Verlag, 1989.

55. Singular Neutral Equations (with T. L. Herdman), in Distributed Parameter Control Systems: New Trends and Applications'', G. Chen, E. B. Lee, L. Markus and W. Littman, eds., Marcel-Dekker, 1990.

56. On the Solutions of a Class of Integral Equations Arising in Unsteady Aerodynamics (with T.L.Herdman), in "Differential Equations, Stability and Control", Saber Elaydi, ed., Marcel Dekker, 1991, 241-248.

57. Feedback Control of Singular Integro-Differential Systems: An Input/Output Approach (with H.Ozbay), in "Identification and Control in Systems Governed by PDEs", H.T.Banks, R.H.Fabiano, and  K.Ito eds., SIAM, 1993, 186-202.

58. Stability in a Class of Functional Differential Equations with State-Dependent Delays (with F.Hartung), in Qualitative Problems for Differential Equations and Control Theory, ed. C.Corduneanu, World Scientific, 1995, 15-31. (PS)

59. Sensitivity Analysis of an Attack Containment Model (with R. Dantu and J. W. Congassu), in {\bf "ISI 2005, Lecture Notes in Computer Science"}, v. 3495, P. Kantor et al, eds., Springer-Verlag, 2005, 127-138.

60. Using Satellite Imagery to Correct for Attitude Instability (with D.L. Seida), in "Mathematical Problems in Engineering and Aerospace Sciences", S. Sivasundaram, ed., Cambridge Scientific Publishers, 2007, 711-720.

61. On a Class of Partial Differential Equations with Nonlocal Dirichlet Boundary Conditions (with A. Bensoussan), in "Applied and Numerical Partial Differential Equations, Computational Methods in Applied Sciences", v. 15, W. Fitzgibbon, Y.A. Kuznetsov, P. Neittaanmaki, J. Periaux, and O. Pironneau eds., Springer Netherlands, 2010, 9-23.

62. Motion Control of an Under Actuated Service Robot Using Natural Coordinates (with L. Bencsik, L.L. Kovacs, G. Stepan, and A. Zelei), in "Robot Design, Dynamics and Control (CISM International Centre for Mechanical Sciences)", v. 524, W. Schiehlen and V. Parenti-Castelli eds., Springer Wien New York, 2010.

Other Publications

63. Approximation Schemes for an Aeroelastic Control System (with S.M.Rankin III.), Proceedings of the 1988-American Control Conference, Atlanta, Georgia, 1988, 2266-2267.

64. Robust Control Design for a Flexible Beam Using a Distributed Parameter H-Infinity Method (with K.Lenz, H Ozbay, A Tannenbaum, and B.Morton), Proceedings of 28th IEEE-CDC, Tampa, Florida, 1989, 2673-2678.

65. A Software Package to Analyze Stability in Nonlinear FDEs (with Applications to Respiratory Control (with F.Bennett and H.Chen), Technical Report 89-12-01, Worcester Polytechnic Institute, Worcester, Massachusetts, December 89.

66.  Design, Development and Testing of a Real-Time Impedance Control System for Deburring Operation (with M. S. Ali and M. N. Noori), Proceedings of the 10th Symposium on Engineering Applications of Mechanics  of Mobility, Queens University, Kingston, Ontario, Canada, May 1990.

67. Robust Stabilization of Systems Governed by Singular Integro-Differential Equations (with H.Ozbay), IMA Preprint Series 674, July 1990.

68. Feedback Stabilization for an AC/DC Power System Model (with K. A.  Clements and S. R. Kaprielian), Proceedings of the 28th IEEE-CDC, Honolulu, Hawaii, December 1990, 3367--3373.

69. Robust Stabilization of an Aeroelastic System (with H. Ozbay),  Proceedings of the IEEE International Conference on System Engineering, Dayton, Ohio,  August, 1991, 424-427.

70. Stabilization and Oscillations of Hybrid Systems in the Presence of Feedback Delays (with K.L.Cooke and G.Turner), IMA Preprint Series 906, December 1991.

71. Vector Input--Output Linearization for a Class of Descriptor Systems (with S. Kaprielian and L. R. Hunt), Proceedings of the 30th IEEE--CDC, Brighton, England, December 1991, 1949--1954.

72. Finite Memory Approximations for a Singular Neutral System Arising  in Aeroelasticity (with E. M. Cliff and T. L. Herdman), Proceedings of  the 30th IEEE--CDC, Brighton, England, December 1991, 3014--3019.

73. Robust Control of an Aeroelastic System Modeled by a Singular Integro-Differential Equation (with H. Ozbay), Proceedings of  the 30th IEEE--CDC,  Brighton, England, December 1991, 2682--2686.

74.  On Numerical Solutions of an Optimal Control Problem for Nonlinear Neutral Systems (with L. Torres),  in Ordinary Differential Equations and Delay Equations'', J. Wiener and J. K. Hale, eds, Pitman Research Notes in Mathematics Series, Longman, 1992, 244--250.

75. Nonlinear Feedback Stabilization in Power Systems (with S. Kaprielian), in Proceedings of SINS `92, F. L. Lewis ed., ARRI UTA, Arlington, Texas, December 1992, 334--342.

76. An Observer for a Nonlinear Descriptor System   (with S. Kaprielian), in Proceedings of  the 31st IEEE--CDC, Tucson, Arisona, December 1992, 975--976.

77. An Approximation Framework for Functional Differential Equations with Time- and State-Dependent Delays Using Equations with Piecewise Constant Arguments (with I.Gyori and F.Hartung) IMA Preprint Series 1130, April 1993.

78. On Control Design for a Fluid-Structure Interaction Problem (with J. T. Borggaard and T. L. Herdman), in the Proceedings of the 1st IEEE Conference on Aerospace Control Systems, Westlake Village, California,
May 1993, 235--243.

79. Stability in Delay Equations with Perturbed Time Lags (with I. Gyori and F. Hartung), in the Proceedings of the 32nd IEEE-CDC, San Antonio, Texas, 1993, 3829--3830. (PS)

80. On approximate solutions of optimal control problems for nonlinear hereditary systems of neutral-type (with L. Torres), in the Proceedings of the 33rd IEEE-CDC, Orlando, Florida, 1994, 859--864.

81. Collocation techniques for singular neutral equations (with G. M. Cerezo, E. F. Berdauger and T. L. Herdman),
in the Proceedings of the 33rd IEEE-CDC, Orlando, Florida, 1994, 2534--2536.

82. On an Application of the Boundary Element Method to Study Flow Induced Vibrations (with J. T. Borggaard and T. L. Herdman), in Applied Mechanics in the Americas Vol. II., ed. L. A. Godoy, S. R. Idelsohn, P. A. A. Laura and D. T. Mook, AAM and AMCA, Santa Fe, Argentina, 1995,  pp. 317-321.

83. Identification of Parameters in Hereditary Systems: A Numerical Study (with F.Hartung and T.L.Herdman), in the Proceedings of the 3rd IEEE Mediterranean Symposium on New Directions in Control and Automation, Limassol, Cyprus, July 1995, 291-298. (PS)

84. On Numerical Solutions for a Class of Nonlinear Delay Equations with Time- and State-Dependent Delays (with I.Gyori and F.Hartung), in the Proceedings of the First World Congress of Nonlinear Analysts, v. II., 1995, 1391-1402. (PS)

85. Identification of Parameters in Hereditary Systems (with F.Hartung and T.L.Herdman), in the Proceedings of ASME Fifteenth Biennial Conference on Mechanical Vibration and Noise, Boston Massachusetts, v. 3., Part C, ASME 1995, 1061-1066. (PS)

86. On Active Control of Flow Induced Vibrations (with J.T.Borggaard and T.L.Herdman), in the Proceedings of the 34th IEEE-CDC, New Orleans, Louisiana, December 1995, 3725-3729.

87. On Some Practical Aspects of Single Sensor Active Noise Control (with E.M.Dowling), in the Proceedings of the 34th IEEE-CDC, New Orleans, Louisiana, December 1995, 456-460.

88. On the Effect of Delay Perturbations on the Stability of Delay Difference Equations (with F.Hartung and I.Gyori), in the Proceedings of the First International Conference on Difference Equations, eds. S.N.Elaydi, J.R.Graef, G.Ladas and A.C.Peterson, Gordon and Breach, 1995, 237-253. (PS)

89. Hyperbolic Two-Point Contact problems and a Differential Inclusion (with W. Desch) SRC Technical Report, Karl Franzens University of Graz, 48, 1995, 39 pages.
90. Numerical Solutions of a Class of Singular Integro-Differential Equations (with S.Chiang and T.L.Herdman), in the Proceedings of the 15th IMACS World Congress, v.2, Numerical Mathematics, Ed Achim Sydow, Wissenchaft and Technik Verlag, Berlin, 1997, 463-468.

91. Numerical Identification Techniques for Singular Neutral Functional Differential Equations (with G.Cerezo, E.Fernandez, and T.L.Herdman), in the Proceedings of the 3rd International Conference on Nonlinear Problems in Aviation and Aerospace, Daytona Beach, Florida, May 2000, 1-5.

92. Robustness of Stability Under Delay Perturbations in Linear Time Delay Systems, in the Proceedings of the 39th IEEE-CDC, Sydney, Australia, December 2000, 1533-1538.

93. Digital Balancing of Systems with Backlash (with L. Kollar and G. Stepan), in the Proceedings of the 41st IEEE CDC, Las Vegas, NV, December 2002, 3111-3116.

94. Dynamics of Sampled Systems with Backlash (with L. Kollar and G. Stepan), in the Proceedings of the 11th World Congress in Mechanism and Machine Science, April 1-4, 2004, Tianjin , China, China Machine Press, ed. Tian Huang., 1498-1503.

95. Comparison of Zeroth- and First-Order Semi-Discretizations for the Delayed Mathieu Equation (with T. Insperger and G. Stepan), in the Proceedings of the 43rd IEEE Conference on Decision and Control, December 14-17, 2004, The Atlantis, Paradise Island, The Bahamas, 2625-2629.

96. A Quantitative Learning Model for Software Test Process (with A. Ghaffari and J. W. Cangussu), in the Proceedings of the 38th Hawaii International Conference on System Science, Kona , Hawaii, January 3-6, 2005. (10 pages)

97. State-Dependent Delay Model for Regenerative Cutting Processes (with T. Insperger and G. Stepan), in the Proceedings of the 5th EUROMECH Nonlinear Dynamics Conference, ENOC 2005, Eindhoven, The Netherlands, 1124-1129.

98. State Dependent Regenerative Delay in Milling Processes (with F. Hartung, T. Insperger and G. Stepan), in Proceedings of ASME International Design Engineering Technical Conferences, Long Beach, California, September 24-28, 2005, paper no. DETC2005-85282 (CD-ROM) (9 pages).

99. Identification of Parameters in Neutral Functional Differential Equations with State-Dependent Delays (with F. Hartung), in the Proceedings of the 44th IEEE Conference on Decision and Control, December 12-15, 2005, Seville, Spain, 5239-5244.

100. Stability for Retarded Delay Equations with Multiple Delays (with R.H. Fabiano), in the Proceedings of the 45th IEEE Conference on Decision and Control, December 13-15, 2006, San Diego, CA, 4712-4716.

101. Near-Optimal Trajectory Generation for Omni-Directional Vehicles by Constrained Dynamic Inversion (with A. Shekhawat, T. Kalmar-Nagy, and J. Valasek), AIAA-2007-6605, AIAA Guidance, Navigation and Control Conference, August 20-23, 2007, Hilton Head, South Carolina, 13 pages.

102. Preservation of Stability in Neutral Systems (with R.H. Fabiano), preprint of the 3rd IFAC Symposium on System, Structure and Control, October 17-19, 2007, Iguassu Falls, Brazil, 6 pages.

103. Stability for Semidiscrete Galerkin Approximation of Neutral Delay Equations (with R. Fabiano) in the Proceedings of the 47th IEEE CDC, Cancun, Mexico, December 9-11, 2008, 191-196..

104. Balancing Using Accelerometers and Equations with Advanced Arguments (with T. Insperger, G. Stepan, and R. Wohlfart), in the Proceedings of the 9th IFAC Workshop on Time Delay Systems, June 7-9, 2010, 6 pages.

Papers Submitted

105. Parameter Identification in a Respiratory Control System Model (with F. Hartung), submitted to Springer Lecture Notes in Mathematics Biosciences.

106. State Dependent Regenerative Effect in Milling Processes (with D. Bachraty and G. Stepan), submitted to ASME Computational and Nonlinear Dynamics .

107. Obtaining the Critical Excitation for Elasto-Plastic Oscillators by Solving an Optimal Control Problem (with A. Bensoussan and K. Chandrasekaran) submitted to Physica D.

108. Feedback Delays and Advanced Arguments in a Simple Balancing Problem (with T. Insperger , G. Stepan, and R. Wohlfart), submitted to ENOC 2011, Rome, Italy.

109. Equations with Advanced Arguments in a Segway Model (with T. Insperger, G. Stepan, and R. Wohlfart), MaMek 2011, Miskolc, Hungary.