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- Cristian Oara, András Varga
- IEEE Trans. Automat. Contr.
- 2000

In this paper we solve two problems in linear systems theory: the computation of the inner–outer and spectral factorizations of a continuous–time system considered in the most general setting. We show that these factorization problems rely essentially on solving for the stabilizing solution a standard algebraic Riccati equation of order usually much smaller… (More)

- Cristian Oara
- Automatica
- 2005

- Cristian Oara, Raluca Andrei
- Systems & Control Letters
- 2013

- Cristian Oara, András Varga
- SIAM J. Matrix Analysis Applications
- 1999

Given a rational matrix G with complex coefficients and a domain Γ in the closed complex plane, both arbitrary, we develop a complete theory of coprime factorizations of G over Γ, with denominators of McMillan degree as small as possible. The main tool is a general pole displacement theorem which gives conditions for an invertible rational matrix to… (More)

- Cristian Oara
- Numerical Algorithms
- 1994

An algorithm for computing proper deflating subspaces with specified spectrum for an arbitrary matrix pencil is presented. The method uses refined algorithms for computing the generalized Schur form of a matrix pencil and enlightens the connection that exists between reducing and proper deflating subspaces. The proposed algorithm can be applied for… (More)

- Cristian Oara, A. Varga
- 1999

In this paper we give a theoretical and a computational solution to the most general inner–outer factorization problem formulated for a discrete–time system G. Our method is based on descriptor state–space computations and relies on an efficient dislocation of the minimal indices and of the “unstable” zeros of G by left multiplication with all–pass factors.… (More)

- Cristian Oara, Serban Sabau
- Automatica
- 2009

We introduce a novel distributed control architecture for heterogeneous platoons of linear time–invariant autonomous vehicles. Our approach is based on a generalization of the concept of leader–follower controllers for which we provide a Youla–like parameterization, while the sparsity constraints are imposed on the controller’s left coprime factors,… (More)

- Cristian Oara, Serban Sabau
- Systems & Control Letters
- 2011

In this paper we study state–space realizations of Linear and Time–Invariant (LTI) systems. Motivated by biochemical reaction networks, Gonçalves and Warnick have recently introduced the notion of a Dynamical Structure Functions (DSF), a particular factorization of the system’s transfer function matrix that elucidates the interconnection structure in… (More)