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Publications about 'Uncertainty quantification in PDEs'
Journal articles
  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]


Conference articles
  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]



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