28 citations · 98 across the 47 of their papers we have counts for
4 papers · 2 filters
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…