Global Observability of Input-affine Polynomial Systems
Yu Kawano, Toshiyuki Ohtsuka · Transactions of the Society of Instrument and Control Engineers · 2010
This paper considers global observability of input-affine polynomial systems. To test observability of nonlinear systems, distinguishability is often used. This criterion may consist of checking an infinite set of equations. In this paper, based on results from commutative algebra, we show a finite set of equations characterizes observability of the systems.