Cristian Oara

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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)
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)
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)
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)
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)
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)