System analysis: A geometric approach

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The mathematically dual concepts of (A,B) and (C,A)-invariance play an important role in the geometric theory of linear time invariant (LTI) systems. These concepts were used to study some fundamental problems of LTI control theory, such as disturbance decoupling (DDP), unknown input observer design, fault detection (FPRG). The nonlinear version of this geometrical approach is much more complex and deals with certain locally controlled or conditioned invariant distributions and codistributions. The aim of the chapter is to present an extension of these notions for the parameter-varying systems by introducing the notion of parameter varying (A,B)-invariant, parameter-varying (C,A)-invariant, controllability and unobservability subspaces, and to give some algorithms to compute these subspaces if certain conditions are fulfilled.

Original languageEnglish
Title of host publicationRobust Control and Linear Parameter Varying Approaches
Subtitle of host publicationApplication to Vehicle Dynamics
Number of pages29
Publication statusPublished - Mar 14 2013
Event32nd International Summer School in Automatic - Grenoble, France
Duration: Sep 12 2011Sep 16 2011

Publication series

NameLecture Notes in Control and Information Sciences
Volume437 LNCIS
ISSN (Print)0170-8643


Other32nd International Summer School in Automatic


ASJC Scopus subject areas

  • Library and Information Sciences

Cite this

Bokor, J., & Szabó, Z. (2013). System analysis: A geometric approach. In Robust Control and Linear Parameter Varying Approaches: Application to Vehicle Dynamics (pp. 25-53). (Lecture Notes in Control and Information Sciences; Vol. 437 LNCIS).