Dister, C., Castellani. B., Rajaram, R., Modeling Social Complexity in Infrastructures: A Case-based Approach to Improving Reliability and Resiliency, Edward Elgar Handbook of Research Methods in Complexity Science, London School of Economics, 2017
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
Castellani, B., Griffiths, F., Rajaram, R., Gunn, J., Exploring comorbid depression and health trajectories: A case-based computational modelling approach, Journal of Evaluation in Clinical Practice, 2018:1-17, doi: https://doi.org/10.1111/jep.13042
Rajaram, R., Castellani, B. and Wilson A. N. Advancing Shannon entropy for measuring diversity in Systems, Complexity, vol. 2017, Article ID 8715605, 10 pages, 2017. doi:10.1155/2017/8715605
Dasgupta, S., Vaidya, U.G., and Rajaram, R. Operator theoretic framework for optimal placement of sensors and actuators for control of nonequilibrium dynamics, Journal of Mathematical Analysis and its Applications, 2016
Castellani, B. and Rajaram, R. Past the power law: Complex systems and the limiting law of restricted diversity, Complexity, 2016
Rajaram, R. and Castellani, B. An entropy based measure for comparing distributions of complexity doi:10.1016/j.physa.2016.02.007, Physica A, 2016
Castellani, B., Rajaram R., Gunn, J., and Griffiths, F., Cases, clusters, densities: Modeling the nonlinear dynamics of complex health trajectories. Complexity, doi: 10.1002/cplx.21728, 2015
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