LIST OF PUBLICATIONS 
Stavros A. Belbas 
 

MAIN RESEARCH PAPERS UP TO 1988

(with A.N. Kounadis) On the parametric resonance of columns carrying  concentrated masses, J. Struct. Mech., 5, 1977, 283-394.

Weak solutions of the Hamilton-Jacobi-Bellman equation, Systems and Control  Letters, 1, 1981, 168-172.

Nonlinear stochastic integral equations over partially ordered topological spaces, J.  Integral Equations, 4, 1982, 323-338.

(with S.M. Lenhart) A system of nonlinear partial differential equations arising in  the optimal control of stochastic systems with switching costs, SIAM J, Appl.  Math., 1983, 323-338.

(with A. Sulem) Explicit solution of certain deterministic optimal control problems  with costly switching, 1983 Conference on Information Sciences and Systems,  Johns Hopkins University, Baltimore, MD.

Modeling of a mechanical system with discontinuous state, 1984 Conference on  Information Sciences and Systems, Johns Hopkins University, Baltimore, MD.

A remark on dynamic programming with final state constraints, Systems and  Control Letters, 4, 1984, 343-346.

(with I.D. Mayergoyz) Applications des methodes du point fixe aux equations de  Bellman discretes et a des inequations quasi-variationnelles discretes, Comptes  Remdus Acad. Sciences de Paris, Serie I, T. 299, 1984, 233-236.

Variational formulation of the optimality conditions for stochastic systems of  variable structure, 1985 Conference on Decision and Control, 285-286.

(with S.M. Lenhart) Nonlinear partial differential equations for stochastic optimal  control with switchings and impulses, Appl. Math. Optimization, 14, 1986, 215- 225.

(with I.D. Mayergoyz) Applications of fixed-point methods to discrete variational  and quasi-variational inequalities, Numerische Mathematik, 51, 1987, 631-654.

(with I.D. Mayergoyz) Numerical solution of certain minimax problems of  stochastic control, 1987 Conference on Decision and Control, 771-776.

Numerical solution of certain nonlinear parabolic partial differential equations,  Springer-Verlag Lecture Notes in Mathematics, Vol. 1248, 1987, 4-15.

(with T.I. Seidman) Periodic solutions of quasi-linear parabolic variational  inequalities, Appl. Analysis, 29, 1988, 301-327.

The dynamic programming equations for stochastic games with discrete actions,  Systems and Control Letters, 11, 1988, 235-242.


PUBLICATIONS AND CONFERENCE PRESENTATIONS FROM 1989 TO THE PRESENT DATE

Dynamic and semi-dynamic programming for optimal control of certain distributed  systems, in 1989 American Control Conference.

(with I.D. Mayergoyz) Iterative schemes for certain time-dependent problems of  optimal control, Int. J. Control, 50, 1989, 1681-1698.

Dynamic programming approach to the optimal control of systems governed by  Goursat-Darboux equations, Int. J. Control, 51, 1990, 1279-1294.

Dynamic programming and maximum principle for discrete Goursat systems, J.  Math. Analysis and Applic., 161, 1991, 57-77.

(with M. Sun) Optimal observation schedule for identification of nonlinear  distributed systems with applications, 1993, IEEE Southeastern Symposium on  Systems Theory, 301-305.

Non-classical dynamic programming in optimal control, invited 1-hour lecture at  the 1993 International Colloquium on Differential Equations; Abstract published  in 1993; Complete paper published in 1994, VSP Publishers, Zeist, The  Netherlands,  pp. 39-43.

(with I.D. Mayergoyz) Numerical solution of quasi-variational inequalities arising  in stochastic game theory, Appl. Math. Optimiz., 31, 1995, 19-39.

Optimal Continuous and impulsive control of Goursat systems, invited 1-hour  lecture at the 1994 International Colloquium on Differential Equations; Abstract  has been published.

Approximate solution of optimal control problems for Goursat systems, Fourth  International Colloquium on Numerical Analysis, 1995, pp. 11-15.

Optimal control of Goursat systems over general domains, Sixth International  Colloquium on Differential Equations, 1995, pp. 55-63.

Iterative schemes for the numerical solution of optimal control problems for  Volterra equations, invited 1-hour lecture at the 1995 International Colloquium  on Numerical Analysis; Abstract has been published.

Iterative schemes for optimal control of certain integral equations, invited 1-hour  lecture at the 1996 World Congress of Nonlinear Analysts; the corresponding  paper, entitled “On the iterative solution of certain optimal control problems for  Volterra integral equations”, is accepted for publication in the journal “Nonlinear  Analysis - Theory, Methods, Applications.”

Cascaded Hamiltonian equations and dynamic programming, 1996 Southeastern  Symposium on Systems Theory,  pp. 180-183.

Generators of nonlinear Goursat-Darboux systems and their applications, invited  30-minute lecture at the 1995 International Conference on Dynamic Systems and  Applications; Abstract has been published.

Optimal control of certain Volterra integral equations with special constraints on  the control, invited 30 minute lecture at the 1996 Volterra Centennial Symposium;  extended summary has been published; the complete paper will be published in  1998, in a book, by the publishing company “Gordon and Breach”.

Forward dynamic programming for numerical solution of optimal control problems  for parabolic systems, Proceedings of the Seventh International Colloquium on  Differential Equations, Zeist, The Netherlands, VSP Publishers, 1997, pp. 9-15.

Optimal control of Goursat systems over variable domains, Proceedings of the  Seventh International Colloquium on Differential Equations, Zeist, The  Netherlands, VSP Publishers, 1997, pp. 17-21.

Optimal control of discrete stochastic 2-D systems, Proceedings of the 29th  Southeastern Symposium on System Theory (Session on Image Processing), IEEE Computer Society Press, Los Alamitos, CA., 1997, pp. 493-497.

Approximate solution of optimal control problems for systems with Madelung  non-local effects, to appear in 1997 International Colloquium on Numerical  Analysis.

2-D  dynamical systems of Roesser-type, to appear in 1997 International  Colloquium on Differential  Equations.

Multi-time dynamic programming and Riccati equations, accecpted in "International Journal of Control.:

Impulsive Hamilton-Jacobi equations for hybrid control systems, accepted in 1998 International Colloquium on Differential Equations.

Numerical solution of multi-time dynamic programming problems, accepted in 1998 International Colloquium on Numerical Analysis.

Dynamic programming equations in mixed continuous-discrete time scales,  accepted in 1998 International Congress on Nonlinear Analysis and Applications.

Optiomal control of dynamical systems with hysteresis, accepted in "International Journal of Control".

A variational framework for groundwater remediation, accepted in 1999 International Multiconference on Circuits, Systems, Communications, and Computers.

 Neural networks in 2-D continuous time, accepted in IJCNN, 1999.


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