# Some Fundamental Control Theory I: Controllability, Observability, and Duality AND Some fundamental control Theory II: Feedback linearization of single input nonlinear systems

by William J. Terrell

Year of Award: 2000

Publication Information: The American Mathematical Monthly, vol. 106, 1999, pp. 705-719 and 812-828

Summary: This paper introduces a circle of ideas from control theory via the question of "equivalence" between $n$-dimensional first order linear systems and $n$th-order linear equations.  The full answer to this equivalence question introduces some of the central concepts of modern control theory.