Mathematical foundations for efficient structural controllability and observability analysis of complex systems

Abstract

The relationship between structural controllability and observability of complex systems is studied. Algebraic and graph theoretic tools are combined to prove the extent of some controller/observer duality results. Two types of control design problems are addressed and some fundamental theoretical results are provided. In addition new algorithms are presented to compute optimal solutions for monitoring large scale real networks. © 2014 Pedro J. Zufiria et al.