28 citations · 98 across the 47 of their papers we have counts for
27 papers · 1 filter
Stability of input-output maps and their minimal realizations in state-linear, state-affine, LPV, and linear switched systems
Mihály Petreczky, Juan-Pablo Ortega, Florian Rossmannek +1
Stability is often assumed in learning and identification, yet it is rarely characterized directly from input--output data. We show that an input--output family admits a stable fin…
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 covariance realization and system identification algorithm for a class of stochastic linear switched systems with i.i.d. switching
Elie Rouphael, Manas Mejari, Mihaly Petreczky +1
In this paper, we consider stochastic realization theory of Linear Switched Systems (LSS) with i.i.d. switching. We characterize minimality of stochastic LSSs and show existence an…
Towards stochastic realization theory for Generalized Linear Switched Systems with inputs: decomposition into stochastic and deterministic components and existence and uniqueness of innovation form
Elie Rouphael, Manas Mejari, Mihaly Petreczky +1
In this paper, we study a class of stochastic Generalized Linear Switched System (GLSS), which includes subclasses of jump-Markov, piecewide-linear and Linear Parameter-Varying (LP…
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…
Realization Theory Of Recurrent Neural ODEs Using Polynomial System Embeddings
Martin Gonzalez, Thibault Defourneau, Hatem Hajri +1
In this paper we show that neural ODE analogs of recurrent (ODE-RNN) and Long Short-Term Memory (ODE-LSTM) networks can be algorithmically embeddeded into the class of polynomial s…
On minimal LPV state-space representations in innovation form: an algebraic characterization
Elie Rouphael, Mihaly Petreczky, Lotfi Belkoura
In this paper we will propose a definition of the concept of minimal state-space representations in innovation form for LPV. We also present algebraic conditions for a stochastic L…
Application of robust control for CSR formalization and stakeholders interest
Sana Ben Abdallah, Dhafer Saidane, Mihaly Petreczky
In this paper, we propose a new definition of sustainability that includes dynamics and equity. We propose a theoretical framework that allows finding a fair equilibrium and sustai…
Explicit construction of the minimum error variance estimator for stochastic LTI state-space systems
Deividas Eringis, John Leth, Zheng-Hua Tan +2
In this short article, we showcase the derivation of the optimal (minimum error variance) estimator, when one part of the stochastic LTI system output is not measured but is able t…
Minimality and identifiability of discrete-time SARX systems
M. Petreczky, L. Bako, S. Lecoeuche +1
The paper studies the problem of minimality and identifiability for Switched Auto-Regressive eXogenous (abbreviated by SARX) systems. We propose formal definitions of the concepts…
Realization theory of recurrent neural networks and rational systems
Thibault Defourneau, Mihaly Petreczky
In this paper, we show that, under mild assumptions, input-output behavior of a continous-time recurrent neural network (RNN) can be represented by a rational or polynomial nonline…
Rational observers of rational systems
Jana Nemcova, Mihaly Petreczky, Jan H. van Schuppen
Rational observers are to be constructed for rational systems while polynomial observers are to be constructed for polynomial systems. An observer synthesis procedure is formulated…
Minimax Observers for Linear DAEs
Sergiy Zhuk, Mihaly Petreczky
In this note we construct minimax observers for linear stationary DAEs with bounded uncertain inputs, given noisy measurements. We prove a new duality principle and show that a fin…
Relationship between Granger non-causality and graph structure of state-space representations
M. Jozsa, M. Petreczky, M. K. Camlibel
In this paper we present an equivalent form of Granger noncausality in state space representation. As a generalization of this result, necessary and sufficient conditions are provi…
Moment matching for bilinear systems with nice selections
Mihály Petreczky, Rafael Wisniewski, John Leth
The paper develops a method for model reduction of bilinear control systems. It leans upon the observation that the input-output map of a bilinear system has a particularly simple…
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…
An Algorithm for System Identification of a Discrete-Time Polynomial System without Inputs
Jana Němcová, Mihály Petreczky, Jan H. van Schuppen
A subalgebraic approximation algorithm is proposed to estimate from a set of time series the parameters of the observer representation of a discrete-time polynomial system without…
Realization Theory of Stochastic Jump-Markov Linear Systems
Mihaly Petreczky, René Vidal
In this paper, we present a complete stochastic realization theory for stochastic jump-linear systems. We present necessary and sufficient conditions for the existence of a realiza…
Solutions of differential-algebraic equations as outputs of LTI systems: application to LQ control problem
Mihaly Petreczky, Sergiy Zhuk
In this paper we synthesize behavioral ideas with geometric control theory and propose a unified geometric framework for representing all solutions of a Linear Time Invariant Diffe…
Infinite horizon control and minimax observer design for linear DAEs
Sergiy Zhuk, Mihaly Petreczky
In this paper we construct an infinite horizon minimax state observer for a linear stationary differential-algebraic equation (DAE) with uncertain but bounded input and noisy outpu…
Local Nash Realizations
Jana Němcová, Mihály Petreczky
In this paper we investigate realization theory of a class of non-linear systems, called Nash systems. Nash systems are non-linear systems whose vector fields and readout maps are…
Balanced truncation for linear switched systems
Mihaly Petreczky, Rafael Wisniewski, John Leth
In this paper, we present a theoretical analysis of the model reduction algorithm for linear switched systems. This algorithm is a reminiscence of the balanced truncation method fo…
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…
Identification of Piecewise Linear Models of Complex Dynamical Systems
Ronald L. Westra, Mihály Petreczky, Ralf L. M. Peeters
The paper addresses the realization and identification problem or a subclass of piecewise-affine hybrid systems. The paper provides necessary and sufficient conditions for existenc…