An algebraic framework generalizing the concept of transfer functions to nonlinear systems
Automatica (Journal of IFAC)
Linearization of discrete-time systems by exogenous dynamic feedback
Automatica (Journal of IFAC)
Brief paper: On the observability of discrete-time dynamic systems - A geometric approach
Automatica (Journal of IFAC)
Submersive rational difference systems and their accessibility
Proceedings of the 2009 international symposium on Symbolic and algebraic computation
Realization of discrete-time nonlinear input-output equations: Polynomial approach
Automatica (Journal of IFAC)
Application of noninteracting control problem to coupled tanks
EUROCAST'11 Proceedings of the 13th international conference on Computer Aided Systems Theory - Volume Part II
Automatica (Journal of IFAC)
On realizability of neural networks-based input-output models in the classical state-space form
Automatica (Journal of IFAC)
Implicit discrete-time systems and accessibility
Automatica (Journal of IFAC)
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The algebraic formalism developed in this paper unifies the study of the accessibility problem and various notions of feedback linearizability for discrete-time nonlinear systems. The accessibility problem for nonlinear discrete-time systems is shown to be easy to tackle by means of standard linear algebraic tools, whereas this is not the case for nonlinear continuous-time systems, in which case the most suitable approach is provided by differential geometry. The feedback linearization problem for discrete-time systems is recasted through the language of differential forms. In the event that a system is not feedback linearizable, the largest feedback linearizable subsystem is characterized within the same formalism using the notion of derived flag of a Pfaffian system. A discrete-time system may be linearizable by dynamic state feedback, though it is not linearizable by static state feedback. Necessary and sufficient conditions are given for the existence of a so-called linearizing output, which in turn is a sufficient condition for dynamic state feedback linearizability.