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math.OC2023
Minimal realizations of input-output behaviors by LPV state-space representations with affine dependency
Mihály Petreczky, Roland Tóth, Guillaume Mercère
The paper makes the first steps towards a behavioral theory of LPV state-space representations with an affine dependency on scheduling, by characterizing minimality of such state-s…
math.OC2012★ 6 cited
Affine LPV systems: realization theory, input-output equations and relationship with linear switched systems
Mihaly Petreczky, Guillaume Mercère, Roland Tóth
We formulate a Kalman-style realization theory for discrete-time affine LPV systems. By an affine LPV system we mean an LPV system whose matrices are affine functions of the schedu…