@article{38706,
  keywords = {example, systems, stability, equation-free, time-steppers, bifurcation, coupled chemical-reactions, stochastic   simulation, microscopic simulators, feedback linearization, microscopic/stochastic systems, nonlinear control, state},
  author = {Constantinos Siettos and Ioannis Kevrekidis and Nikolaos Kazantzis},
  title = {An equation-free approach to nonlinear control: Coarse feedback linearization with pole-placement},
  abstract = { <p>We present an application of equation-free computation to the coarse-grained feedback linearization problem of nonlinear systems described by microscopic/stochastic simulators. Feedback linearization with pole placement requires the solution of a functional equation involving the macroscopic (coarse-grained) system model. In the absence of such a closed-form model, short, appropriately initialized bursts of microscopic simulation are designed and performed, and their results used to estimate on demand the quantities required for the numerical solution of the (explicitly unavailable) functional equation. Our illustrative example is a kinetic Monte Carlo realization of a simplified heterogeneous catalytic reaction scheme.</p> },
  year = {2006},
  journal = {International Journal of Bifurcation and Chaos},
  volume = {16},
  pages = {2029-2041},
  month = {07/2006},
  isbn = {0218-1274},
  language = {English},
}