6 citations · 13 across the 9 of their papers we have counts for
10 papers
On the equivalence between functionally affine LPV state-space representations and LFT models
Mihály Petreczky, Ziad Alkhoury, Guillaume Mercère
We propose a transformation algorithm for a class of Linear Parameter-Varying (LPV) systems with functional affine dependence on parameters, where the system matrices depend affine…
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…
Computation of the State Bias and Initial States for Stochastic State Space Systems in the General 2-D Roesser Model Form
José A. Ramos, Guillaume Mercère
Recently \cite{Ramos2017a} presented a subspace system identification algorithm for 2-D purely stochastic state space models in the general Roesser form. However, since the exact p…
Comparing global input-output behavior of frozen-equivalent LPV state-space models
Ziad Alkhoury, Mihály Petreczky, Guillaume Mercère
It is known that in general, \emph{frozen equivalent} (Linear Parameter-Varying) LPV models, \emph{i.e.}, LPV models which have the same input-output behavior for each constant sch…
Structural properties of LPV to LFR transformation: minimality, input-output behavior and identifiability
Ziad Alkhoury, Mihály Petreczky, Guillaume Mercère
In this paper, we introduce and study important properties of the transformation of Affine Linear Parameter-Varying (ALPV) state-space representations into Linear Fractional Repres…
Prior knowledge and Markov parameters of linear time-invariant models
Guillaume Mercère
In many practical cases, the engineer has access to prior knowledge like rough values of the DC-gain or the main time constant of the system. In order to improve the accuracy of su…
Realization Theory for LPV State-Space Representations with Affine Dependence
Mihály Petreczky, Roland Tóth, Guillaume Mercère
In this paper we present a Kalman-style realization theory for linear parameter-varying state-space representations whose matrices depend on the scheduling variables in an affine w…
Identification of parameterized gray-box state-space systems: from a black-box linear time-invariant representation to a structured one: detailed derivation of the gradients involved in the cost functions
Guillaume Mercère, José Ramos, Olivier Prot
Estimating consistent parameters of a structured state-space representation requires a reliable initialization when the vector of parameters is computed by using a gradient-based a…
Regression techniques for subspace-based black-box state-space system identification: an overview
Guillaume Mercère
As far as the identification of linear time-invariant state-space representation is concerned, among all of the solutions available in the literature, the subspace-based state-spac…
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…