A direct proof of the equivalence of side conditions for strictly positive real matrix transfer functions

Augusto Ferrante (1) , Alexander Lanzon (2) , Bernard Brogliato (3)

1 Unipd - Università degli Studi di Padova = University of Padua
2 University of Manchester [Manchester]
3 TRIPOP - Modélisation, simulation et commande des systèmes dynamiques non lisses

This brief note proves in a direct way that two different side conditions, which have been used in the literature to characterize strictly positive real matrix transfer functions in the frequency domain, are equivalent.

Mots clés: Strictly Positive transfer Functions; side conditions

Domaines: Systèmes et contrôle [cs.SY]; Automatique

Augusto Ferrante, Alexander Lanzon, Bernard Brogliato. A direct proof of the equivalence of side conditions for strictly positive real matrix transfer functions. IEEE Transactions on Automatic Control, 2020, 65 (1), pp.450-452. ⟨10.1109/TAC.2019.2918123⟩. ⟨hal-01947938⟩