1. B. K. Lieu. Dynamics and control of Newtonian and viscoelastic fluids. PhD thesis, University of Minnesota, 2014. Keyword(s): Drag reduction, Controlling the onset of turbulence, Control of turbulent flows, Flow modeling and control, Navier-Stokes equations, Spatially-periodic systems, Traveling waves, Vibrational control, Distributed systems theory, Computational tools for spatially distributed systems, Uncertainty quantification in PDEs, Viscoelastic fluids, Input-output analysis, Elastic turbulence, Transition to turbulence, Worst-case amplification. [bibtex-entry]

1. B. K. Lieu and M. R. Jovanovic. Computation of frequency responses for linear time-invariant PDEs on a compact interval. J. Comput. Phys., 250:246-269, October 2013. Keyword(s): Distributed systems theory, Computational tools for spatially distributed systems, Uncertainty quantification in PDEs. [bibtex-entry]



2. B. K. Lieu, M. R. Jovanovic, and S. Kumar. Worst-case amplification of disturbances in inertialess Couette flow of viscoelastic fluids. J. Fluid Mech., 723:232-263, May 2013. Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Elastic turbulence, Transition to turbulence, Uncertainty quantification in PDEs, Worst-case amplification. [bibtex-entry]



3. S. Y. Shafi, M. Arcak, M. R. Jovanovic, and A. Packard. Synchronization of diffusively-coupled limit cycle oscillators. Automatica, 49(12):3613-3622, December 2013. Keyword(s): Biochemical networks, Diffusively coupled systems, Time-periodic systems, Synchronization, Uncertainty quantification in PDEs. [bibtex-entry]



4. M. Fardad, M. R. Jovanovic, and B. Bamieh. Frequency analysis and norms of distributed spatially periodic systems. IEEE Trans. Automat. Control, 53(10):2266-2279, November 2008. Keyword(s): Distributed systems theory, Input-output analysis, Spatially-periodic systems, Uncertainty quantification in PDEs. [bibtex-entry]



5. M. R. Jovanovic and M. Fardad. $H_2$ norm of linear time-periodic systems: a perturbation analysis. Automatica, 44(8):2090-2098, August 2008. Keyword(s): Distributed systems theory, Input-output analysis, Time-periodic systems, Perturbation analysis, Uncertainty quantification in PDEs. [bibtex-entry]



6. M. R. Jovanovic and B. Bamieh. A formula for frequency responses of distributed systems with one spatial variable. Syst. Control Lett., 55(1):27-37, January 2006. Keyword(s): Distributed systems theory, Computational tools for spatially distributed systems, Uncertainty quantification in PDEs. [bibtex-entry]

1. S. Y. Shafi, M. Arcak, and M. R. Jovanovic. Synchronization of limit cycle oscillations in diffusively-coupled systems. In Proceedings of the 2013 American Control Conference, Washington, DC, pages 4874-4879, 2013. Keyword(s): Biochemical networks, Diffusively coupled systems, Time-periodic systems, Synchronization, Uncertainty quantification in PDEs. [bibtex-entry]



2. B. K. Lieu and M. R. Jovanovic. Computation of the frequency responses for distributed systems with one spatial variable. In Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, Orlando, FL, pages 6956-6961, 2011. Keyword(s): Distributed systems theory, Computational tools for spatially distributed systems, Uncertainty quantification in PDEs. [bibtex-entry]



3. B. K. Lieu, M. R. Jovanovic, and S. Kumar. Worst-case amplification of disturbances in inertialess flows of viscoelastic fluids. In Preprints of the 18th IFAC World Congress, Milano, Italy, pages 14458-14463, 2011. Keyword(s): Flow modeling and control, Viscoelastic fluids, Input-output analysis, Elastic turbulence, Transition to turbulence, Uncertainty quantification in PDEs, Worst-case amplification. [bibtex-entry]



4. M. Fardad, M. R. Jovanovic, and M. V. Salapaka. Damping mechanisms in dynamic mode atomic force microscopy applications. In Proceedings of the 2009 American Control Conference, Saint Louis, MO, pages 2272-2277, 2009. Keyword(s): Atomic force microscopy, Distributed systems theory, Input-output analysis, Uncertainty quantification in PDEs. [bibtex-entry]

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