A LINEAR ALGEBRAIC FRAMEWORK FOR THE ANALYSIS OF DISCRETE-TIME NONLINEAR-SYSTEMS

Authors
GRIZZLE JW
Citation
Jw. Grizzle, A LINEAR ALGEBRAIC FRAMEWORK FOR THE ANALYSIS OF DISCRETE-TIME NONLINEAR-SYSTEMS, SIAM journal on control and optimization, 31(4), 1993, pp. 1026-1044
Citations number
33
Categorie Soggetti
Controlo Theory & Cybernetics",Mathematics
Journal title
SIAM journal on control and optimization → ACNP
ISSN journal
03630129
Volume
31
Issue
4
Year of publication
1993
Pages
1026 - 1044
Database
ISI
SICI code
0363-0129(1993)31:4<1026:ALAFFT>2.0.ZU;2-Z
Abstract
A linear algebraic framework for the analysis of synthesis-type proble ms for discrete-time nonlinear systems is introduced. This is an exten sion of a similar tool for continuous-time systems that established im portant connections between many algorithms associated with right-inve rtibility, left-invertibility and dynamic decoupling, as well as betwe en these algorithms and an approach based upon differential algebra. A similar payoff is seen to be possible in the discrete-time setting.