In this paper, by exploiting the concept of polynomial greatest common divisor, some algebraic tests are proposed to certify the structural properties of both discrete-time and continuous-time linear systems. Furthermore, by exploiting the concept of parametric greatest common divisor, such results are extended to certify the structural properties of systems whose dynamical matrices depend polynomially on some parameters.

Algebraic certificates for the structural properties of parametric linear systems

Possieri Corrado;
2020

Abstract

In this paper, by exploiting the concept of polynomial greatest common divisor, some algebraic tests are proposed to certify the structural properties of both discrete-time and continuous-time linear systems. Furthermore, by exploiting the concept of parametric greatest common divisor, such results are extended to certify the structural properties of systems whose dynamical matrices depend polynomially on some parameters.
2020
Istituto di Analisi dei Sistemi ed Informatica ''Antonio Ruberti'' - IASI
Algebraic tests
Controllability
Linear systems
Non-stabilizable systems
Reachability
Structural properties
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/395647
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