A geometric characterization of feedforward forms

investigating the feasibility of a proposed model for geometric design of deployable arch structures

deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...

Smooth and Analytic Normal Forms: A Special Class of Strict Feedforward Forms

Differential Forms in Geometric Calculus

Geometric calculus and the calculus of differential forms have common origins in Grassmann algebra but different lines of historical development, so mathematicians have been slow to recognize that they belong together in a single mathematical system. This paper reviews the rationale for embedding differential forms in the more comprehensive system of Geometric Calculus. The most significant app...

Analytic Normal Forms and Symmetries of Strict Feedforward Control Systems

Follow this and additional works at: http://opensiuc.lib.siu.edu/math_articles This is a preprint (prior to peer review) of the article published as Tall, I. A., & Respondek, W. (2009). Analytic normal forms and symmetries of strict feedforward control systems. International Journal of Robust and Nonlinear Control. doi: 10.1002/rnc.1505. The definitive version is available at http://onlinelibra...

A Differential-geometric View of Normal Forms of Contractions

A version of non-stationary normal forms theory was recently obtained by M. Guysinsky and A. Katok, which has become an important ingredient in several recent investigations of rigidity of group actions. Our main aim is to explain their results, the sub-resonance normal forms and centralizer theorems, from a differential-geometric perspective.