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.

Menini, L., Possieri, C., Tornambè, A. (2020). Algebraic certificates for the structural properties of parametric linear systems. In IFAC-PapersOnLine (pp.4676-4681). RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS : Elsevier [10.1016/j.ifacol.2020.12.517].

Algebraic certificates for the structural properties of parametric linear systems

Menini, Laura;Possieri, Corrado;Tornambè, Antonio
2020-01-01

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.
21st IFAC World Congress 2020
Berlin (Deutschland)
2020
21.
Rilevanza internazionale
2020
Settore ING-INF/04 - AUTOMATICA
English
Algebraic tests
Controllability
Linear systems
Non-stabilizable systems
Reachability
Structural properties
hdl:2108/294413
Intervento a convegno
Menini, L., Possieri, C., Tornambè, A. (2020). Algebraic certificates for the structural properties of parametric linear systems. In IFAC-PapersOnLine (pp.4676-4681). RADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS : Elsevier [10.1016/j.ifacol.2020.12.517].
Menini, L; Possieri, C; Tornambè, A
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/294413
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