Dr. Sivapragasam Sathananthan

• EDUCATION
  
  Ph.D, Applied Mathematics, The University of Texas at Arlington, Arlington, Texas, 1989.
  M.SC. Mathematics, Marquette University, Milwaukee, Wisconsin, 1986
  B.SC. Statistics(Honors), University of Jaffna, Jaffna, Srilanka, 1981
  
  
• AREAS OF RESEARCH
  
  Stochastic Control, Computational Methods, Stability Theory of Various Dynamical Systems.
  
  
• CURRENT RESEARCH PROJECTS
  
  Large-Scale Control and Distributed Parameter Systems Under Stochastic Structural perturbations
  Large-scale hereditary/non-hereditary control and distributed systems under stochastic structural perturbations is being studied.Three principal areas of research, namely, (i) qualitative properties(Stability, convergence, etc.), (ii) error estimation, and (iii) applications in biological, chemical and engineering sciences are emphasized.
  This research is funded by Army Research Office.
  
  Fault and Damage Detection
  Structural fault/damage detection research consists of trying to detect and isolate, if possible, fault/damage in the structures so that the structures can perform normal operation. The methodologies investigating here are based on observation of behavioral changes of the structures. These changes may be effectively monitored by detecting whether the responses of the structures are within a predetermined response set which is described in terms of a transfer function family.
  This research is funded by NASA Headquarters.
  
  Robotic Telescope Scheduling Problem
  The Center operates four remote telescopes, they are the VU/TSU 16 inch, TSU/ASO 32 inch, SAO/TSU 30 inch, and Fairborn 10 inch telescopes. Two more telescopes, the AST 2 meter and AIT 24 inch, are currently under construction. All of these are robotic telescopes which are remotely controlled from the Center located in Nashville, Tennessee. In order to achieve better utilization of the telescopes' time, we are currently developing a new state-of-art optimal scheduling mechanism which will eventually replace the scheduler our astronomers are presently using.
  This research is funded by NASA Ames Research Center.
  
  
  
• REFEREED PUBLICATIONS
  
  G. S. Ladde and S.Sathananthan, "Periodic Boundary Value Problem for Impulsive Integro-Differential Equations", Journal Mathematics and Physical Sciences, vol. 25, pp. 119 - 129, 1991.
  
  S. Sathananthan and R. Pirapakaran, "Generalized Variation of Constants Formula and Perturbations of Linear Integro-differential Equations ", Texas Journal of Science, vol. 43, pp. 165 - 171, 1991.
  
  G. S. Ladde and S. Sathananthan, "Ito-Type Systems of Stochastic Integro-Differential Equations", Integral Methods in Science and Engineering-90, Hemisphere Publishing Company, pp. 75-89, 1992.
  
  G. S. Ladde and S. Sathananthan, "Error Estimates and Stability of Nonlinear Stochastic Integro-Differential Equations", Journal of Applicable Analysis, vol. 43, pp. 163-189, 1992.
  
  G. S. Ladde, S. Sathananthan, and M. Sambandham"Comparison Theorem and Applications ", International Series of Numerical Mathematics,, vol. 103, pp. 321-342, 1992.
  
  G. S. Ladde and S. Sathananthan, "Stochastic Integro-Differential Equations with Random Parameters-I, ", Dynamic Systems and Applications, , vol. 1, pp. 369-390, 1992.
  
  G. S. Ladde and S. Sathananthan, "Stochastic Integro-Differential Equations with Random Parameters-II", Dynamic Systems and Applications, vol. 3, pp. 563 - 582, 1994.
  
  G. S. Ladde and S. Sathananthan, "Stability of a Lotka-Volterra Model", Journal of Mathematics and Computer Modeling, vol. 16, N0. 3, pp. 99-107, 1992.
  
  G. S. Ladde and S. Sathananthan, "Stability and Error Estimates of Stochastic Integro-Differential Equations", Proceedings of the Eleventh Army Conference in Applied Mathematics and Computation, pp. 691-698, 1994.
  
  G. S. Ladde, S. Sathananthan, and R. Pirapakaran, "Numerical Treatment of Random Differential Equations", Proceedings of the Eleventh Army Conference in Applied Mathematics and Computation, pp. 699 - 712, 1994.
  
  G. S. Ladde and S.Sathananthan, "Diagonalization and Stability of Two-Time Scale Singularly Perturbed Linear Integro-Differential Equations", Proceedings of the Eleventh Army Conference in Applied Mathematics and Computation, pp. 713-720, 1994.
  
  G. S. Ladde, S. Sathananthan, and M. V. Moorthy"Periodic Boundary Value Problems for Second Order Integro-Differential Equations of Volterra-Type,", Proceedings of the 1st International Conference in Dynamic Systems and Applications, Vol. 1, pp. 191-198, 1994.
  
  M. V. Moorthy, S. Sathananthan, and G. S. Ladde, "Periodic Boundary Value Problems for Second Order Impulsive Integro-Differential Equations", Journal of Applicable Analysis, vol. 58, pp. 187-197, 1995.
  
  G. S. Ladde and S.Sathananthan, "Stability Analysis of Hereditary Iterative Processes ",Journal of Applied Mathematics and Computation, vol. 73 pp. 39-54, 1995.
  
  G. S. Ladde, S. Sathananthan, and R. Pirapakaran"Numerical Treatment of Random Population Models ", Proceedings of Neural, Parallel and Scientific Computations, vol.1, pp. 257-260, 1995.
  
  J.S. Lew, S. Sathananthan, and Gu Yan, "Comparison of Damage Detection Algorithm Using Time Domain Data", Proceedings of the Fifteenth International Modal analysis Conference, Orlando, Florida,February 3-6, 1996.
  
  
• CONTACT
  
  satha@coe.tnstate.edu
  
  
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