Castellani, B., Rajaram, R., Buckwalter, J.G., Ball, M., Hafferty, F.W. Place and Health as Complex Systems (ISBN 978-3-319-09733-6), Springer Briefs on Public Health, 2014
Articles in Print
Rajaram, R. and Castellani, B. The Utility of Non-equilibrium Statistical Mechanics, Specifically Transport Theory, for Modeling Cohort Data. Complexity, doi: 10.1002/cplx.21512, 2014
Rajaram, R. and Vaidya, U. Lyapunov density for coupled systems. Applicable Analysis, doi: 10.1080/00036811.2014.886105, 2014
Rajaram, R. and Vaidya, U. Robust stability analysis using Lyapunov density. International Journal of Control, 86(6): 1077-1085, 2013.
Rajaram, R. and Castellani, B.Modeling Complex Systems Macroscopically: Case/Agent-Based Modeling, Synergetics and the Continuity Equation. Complexity. doi: 10.1002/cplx.21412, 2012
Vaidya, U., Rajaram, R., & Dasgupta, S. Actuator and Sensor placement in a linear advection PDE, J. Math. Anal. Appl. 394, pp. 213-224, 2012
Castellani, B. and Rajaram, R.: Case-based modeling and the sacs toolkit: A mathematical outline. Journal of Computational and Mathematical Organization Theory, 18(2): 153-174, 2012.
Castellani, B., Rajaram, R., Buckwalter, JG., Ball, M., and Hafferty, F. “Place and Health as Complex Systems: A Case Study and Empirical Test.” Proceedings of the Complexity in Health Group, Kent State University at Ashtabula, 1(1):1-35, 2012.
Rajaram, R., Vaidya, U., Fardad, M., & Ganapathysubramanian, B. Stability in the almost everywhere sense: a linear transfer operator approach, J. Math. Anal. Appl., 368, pp. 144-156, 2010.
Rajaram, R., & Najafi, M. Exact controllability of a system of coupled strings in parallel, Applicable Analysis, 89(5), pp. 677-691, May 2010.
Rajaram, R., & Najafi, M. Exact controllability of wave equations in Rn coupled in parallel, J. Math. Anal. Appl., 356, pp. 7-12, 2009.
Rajaram, R., & Najafi, M. Analytical treatment and convergence of the Adomian Decomposition Method for a system of coupled damped wave equations. Applied Mathematics and Computation, 212, pp. 72-81, 2009.
Rajaram, R. Exact boundary controllability of the linear advection equation. Applicable Analysis, 88(1), pp. 121-129, January 2009.
Rajaram, R. Exact boundary controllability results for a Rao-Nakra sandwich beam. Systems and Control Letters, 56(7-8), pp. 558-567, 2007.
Rajaram, R. & S.W. Hansen Null controllability of a damped Mead-Markus sandwich beam. Discrete and Continuous Dynamical Systems (Supplemental Volume), pp: 746-755, 2005.
Hansen, S.W., & Rajaram, R. Riesz basis property and related results for a Rao-Nakra Sandwich Beam. Discrete and Continuous Dynamical Systems (Supplemental Volume), pp.365-375, 2005.
Control theory of partial differential equations
Ph.D. (Applied Mathematics) - Iowa State University, M.S. (Applied Mathematics) - Iowa State University, M.S. (Electrical Engineering) - Iowa State University, B. E. (Hons., Instrumentation Engineering) - B.I.T.S., Pilani, India