Richard H. Fabiano
Professor
Department of Mathematics and
Statistics
University of North Carolina at Greensboro
140 Petty Building
Greensboro, NC 27412
email: fabiano@uncg.edu
Phone: 336-334-5836
Selected Recent Publications
- "Renorming for stability and approximation of linear systems:
examples,"      
( Abstract)
Mathematical and
Computer Modeling, Vol. 33, 2001, pp. 159-172.
- "Modeling and analysis for a three-layer damped sandwich beam",
      
( Abstract)
Proceedings of the International Conference on Dynamical Systems
and Differential Equations, 2001, pp. 143-155
(with S.W. Hansen).
- "Galerkin approximation for thermoelastic models",
      
( Abstract)
Proceedings of the 2000 American Control Conference, Chicago, IL,
2000, pp. 2755-2759.
- "Coercive forms associated with elastic systems with damping",
      
( Abstract)
Journal of Computational
and Applied Mathematics, Vol. 114, 2000, pp. 159-171.
- "Renorming for elastic systems with structural damping",
      
( Abstract)
in
Control of Distributed Parameter and Stochastic Systems,
S. Chen, X. Li, J. Yong, X. Y. Zhou (Eds.),
Kluwer Academic Publishers, 1999,
pp. 31-38.
- "Preservation of stability under approximation for a neutral
FDE",      
( Abstract)
Dynamics of Continuous, Discrete and Impulsive Systems,
Vol. 5,
1999, pp. 351-364 (with J. Turi).
- "Uniformly stable approximation for a linear viscoelastic
model",       
( Abstract)
Applied Math Letters,
Vol. 11, 1998, pp. 57-62.
- "Approximation issues for applications in optimal control and
parameter estimation",       
( Abstract)
in Modelling and Computation for Applications in Mathematics,
Science, and Engineering,
Joseph W. Jerome (Ed.),
Oxford University Press, 1998, pp. 141-165
(with
H.T. Banks).
(also appeared as
Technical Report CRSC-tr97-11,
Center for
Research in Scientific Computation,
North Carolina State University)
- "On the shape of finite dimensional approximations of
feedback functional gains",       
( Abstract)
Proceedings of First International
Conference on Nonlinear Problems in Aviation and Aerospace,
S. Sivasundaram (Editor), 1997, pp. 181-187,
(with
B.B. King).
- "Stability and approximation for a linear viscoelastic model",
      
( Abstract)
,
Journal of Mathematical Analysis and Applications, Vol. 204,
1996, pp. 206-220.
- "Approximation for an integro-partial differential equation
with strongly singular kernels",       
( Abstract)
Journal of Mathematical Systems,
Estimation, and Control, Vol. 5, No. 4, 1995.
- "Preserving exponential stability under approximation for
distributed parameter systems",
Computation and Control IV,
Progress in Systems and Control Theory,
K. Bowers and
J. Lund,
(Eds.), Birkhauser, 1995, pp. 143-154.
- "Uniformly stable spline approximations for scalar delay
equations",       
( Abstract)
,
Optimal Design and Control,
Progress in Systems and Control Theory,
J. Borggaard,
J. Burkardt,
M. Gunzburger and
J. Peterson,
(Eds.), vol. 19, Birkhauser, 1995, pp. 151-157.
- "Stability preserving spline approximations for scalar functional
differential equations",       
( Abstract)
Computers Math. Applic., 29 (8), 1995,
pp. 87-94.
- "A finite difference algorithm for an inverse Sturm-Liouville
problem",       
( Abstract)
IMA Journal of Numerical Analysis, 15, 1995, pp. 75-88,
(with
B. Lowe and
R. Knobel).
- "Robust distributed control for a class of continuum damage
models",       
( Abstract)
Proc. 33rd IEEE Conference on Decision and
Control, Lake Buena Vista, FL, Dec. 1994, pp. 769-774, (with
A. Kurdila
and C. Kim).
- "An approximation framework for equations in linear viscoelasticity
with strongly singular kernels",       
( Abstract)
Quarterly of Applied Mathematics,
1994, pp. 65-81, (with
K. Ito).
- "Numerical methods for robust control design for distributed
parameter systems",       
( Abstract)
Proc. 31st IEEE Conference on Decision and
Control, Tuscon, AZ, Dec. 1992, pp. 1172-1177, (with
A. Kurdila
and C. Kim).