@article{may_smith_2010, title={Proper Orthogonal Decomposition with Updates for Efficient Control Design in Smart Material Systems}, volume={7644}, ISSN={["0277-786X"]}, DOI={10.1117/12.847579}, abstractNote={Proper orthogonal decomposition (POD) is a basis reduction technique that allows simulations of complicated systems to be calculated at faster speeds with minimal loss of accuracy. The reduced order basis is created from a set of system data called snapshots. The speed and information retention of POD make it an attractive method to implement reduced-order models of smart material systems. This can allow for the modeling of larger systems and the implementation of real time control, which may be impossible when using the full-order system. There are times when the dynamics of a system can change during a simulation, and the addition of more information to the set of snapshots would be beneficial. The implementation of control on a system is a time when adding new snapshots to the collection can increase the accuracy of the model. Using updates allows more flexibility when trying to balance the accuracy and the speed of the simulation. By updating the POD basis at specific times throughout the interval, we can increase the accuracy of the model and control by using a greater amount of the information given by the snapshots, while we can increase the speed of the simulation during times when using less information will still result in sufficient accuracy.}, journal={BEHAVIOR AND MECHANICS OF MULTIFUNCTIONAL MATERIALS AND COMPOSITES 2010}, author={May, Stephen F. and Smith, Ralph C.}, year={2010} }
 @article{crannell_may_hilbert_2007, title={Shifts of finite type and Fibonacci Harps}, volume={20}, ISSN={["0893-9659"]}, DOI={10.1016/j.aml.2006.03.007}, abstractNote={We make an explicit connection between the Fibonacci Harp (or Fibonacci String) and two well-known dynamical systems: subshifts of finite type and the baker’s map on the unit interval. In particular, we show that the boundary of the Fibonacci Harp is an embedding of a commonly studied shift of finite type in the unit interval. Moreover, every shift of finite type embeds as the boundary of a lattice harp.}, number={2}, journal={APPLIED MATHEMATICS LETTERS}, author={Crannell, Annalisa and May, Stephen and Hilbert, Lindsay}, year={2007}, month={Feb}, pages={138–141} }