Search Results - "Ran, André C.M."

Eigenvalue perturbation theory of structured real matrices and their sign characteristics under generic structured rank-one perturbations by Mehl, Christian, Mehrmann, Volker, Ran, André C.M., Rodman, Leiba

“…An eigenvalue perturbation theory under rank-one perturbations is developed for classes of real matrices that are symmetric with respect to a non-degenerate…”
Get full text

Perturbation analysis of Lagrangian invariant subspaces of symplectic matrices by Mehl, Christian, Mehrmann, Volker, Ran, André C.M., Rodman, Leiba

“…Lagrangian invariant subspaces for symplectic matrices play an important role in the numerical solution of discrete time, robust and optimal control problems…”
Get full text

A nonlinear matrix equation connected to interpolation theory by Ran, André C.M, Reurings, Martine C.B

“…In this paper we study the matrix equation X=Q+A ∗( X ̂ −C) −1A, where Q is an n× n positive definite matrix, C is an mn× mn positive semidefinite matrix, A is…”
Get full text

Synchronization of power systems under stochastic disturbances by Wang, Zhen, Xi, Kaihua, Cheng, Aijie, Lin, Hai Xiang, Ran, André C.M., van Schuppen, Jan H., Zhang, Chenghui

“…The synchronization of power generators is an important condition for the proper functioning of a power system, in which the fluctuations in frequency and the…”
Get full text

A fixed point theorem in partially ordered sets and some applications to matrix equations by RAN, André C. M, REURINGS, Martine C. B

“…An analogue of Banach's fixed point theorem in partially ordered sets is proved in this paper, and several applications to linear and nonlinear matrix…”
Get full text

Eigenvalue perturbation theory of classes of structured matrices under generic structured rank one perturbations by Mehl, Christian, Mehrmann, Volker, Ran, André C.M., Rodman, Leiba

“…udy the perturbation theory of structured matrices under structured rank one perturbations, and then focus on several classes of complex matrices. Generic…”
Get full text

Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices II by Ran, André C. M., Wojtylak, Michał

“…We present in this note a correction to Theorem 17 in Ran and Wojtylak (Compl. Anal. Oper. Theory 15:44, 2021) and sharpen the estimates for eigenvalues of…”
Get full text

Eigenvalues of rank one perturbations of unstructured matrices by Ran, André C.M., Wojtylak, Michał

“…Let A be a fixed complex matrix and let u,v be two vectors. The eigenvalues of matrices A+τuv⊤(τ∈R) form a system of intersecting curves. The dependence of the…”
Get full text

Global Properties of Eigenvalues of Parametric Rank One Perturbations for Unstructured and Structured Matrices by Ran, André C. M., Wojtylak, Michał

“…General properties of eigenvalues of A + τ u v ∗ as functions of τ ∈ C or τ ∈ R or τ = e i θ on the unit circle are considered. In particular, the problem of…”
Get full text

Perturbation theory of selfadjoint matrices and sign characteristics under generic structured rank one perturbations by Mehl, Christian, Mehrmann, Volker, Ran, André C.M., Rodman, Leiba

“…For selfadjoint matrices in an indefinite inner product, possible canonical forms are identified that arise when the matrix is subjected to a selfadjoint…”
Get full text

Eigenvalue perturbation theory of symplectic, orthogonal, and unitary matrices under generic structured rank one perturbations by Mehl, Christian, Mehrmann, Volker, Ran, André C. M., Rodman, Leiba

“…We study the perturbation theory of structured matrices under structured rank one perturbations, with emphasis on matrices that are unitary, orthogonal, or…”
Get full text

Equivalence after extension and matricial coupling coincide with Schur coupling, on separable Hilbert spaces by Horst, Sanne ter, Ran, André C.M.

“…It is known that two Banach space operators that are Schur coupled are also equivalent after extension, or equivalently, matricially coupled. The converse…”
Get full text

On the nonlinear matrix equation [formula omitted]: solutions and perturbation theory by Ran, André C.M., Reurings, Martine C.B.

“…In this paper, the nonlinear matrix equation X+A ∗ F(X)A=Q is discussed. Sufficient conditions for the existence and uniqueness of a positive semidefinite…”
Get full text

Construction and minimality of coordinated linear systems by Kempker, Pia L., Ran, André C.M., van Schuppen, Jan H.

“…Coordinated linear systems are a particular class of hierarchical systems with a top-to-bottom information structure, consisting of a coordinator system and…”
Get full text

LQ Control for Coordinated Linear Systems by Kempker, Pia L., Ran, Andre C. M., van Schuppen, Jan H.

“…Coordinated linear systems are a special class of hierarchical linear systems, with a strict top-to-bottom information structure. The LQ problem over all…”
Get full text

Control of Distributed Systems: Tutorial and Overview by van Schuppen, Jan H., Boutin, Olivier, Kempker, Pia L., Komenda, Jan, Masopust, Tomáš, Pambakian, Nicola, Ran, André C.M.

“…Distributed systems consist of an interconnection of two or more subsystems. Control of such systems is structured by two or more controllers, each receiving…”
Get full text

Distributed state estimation with communication of observations by Ran, André C.M., van Schuppen, Jan H.

“…The paper discusses communication of state information in a distributed system. In particular, the following problem is considered: if a linear combination of…”
Get full text

On the nonlinear matrix equation X+A∗F(X)A=Q: solutions and perturbation theory by Ran, André C.M., Reurings, Martine C.B.

Get full text

Controllability and observability of coordinated linear systems by Kempker, Pia L., Ran, André C.M., van Schuppen, Jan H.

“…This paper develops concepts of controllability and observability for the class of coordinated linear systems, a special class of linear hierarchical systems…”
Get full text

Asymptotics of the Smallest Singular Value of a Class of Toeplitz-generated Matrices II by Rabe, Hermann, Ran, André C. M.

“…Square matrices of the form X n = T n + f n ( T n - 1 ) ∗ , where T n is a n × n invertible banded Toeplitz matrix and f n some positive sequence are…”
Get full text