Yazar "Dzhafarov, Vakif" için listeleme
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On the stability of a convex set of matrices
Dzhafarov, Vakif; Büyükköroğlu, Taner (Elsevier Science Inc, 2006)In this paper we give an alternative proof of the constant inertia theorem for convex compact sets of complex matrices. It is shown that the companion matrix whose non-trivial column is negative satisfies the directional ... -
Random search of stable member in a matrix polytope
Yılmaz, Şerife; Büyükköroğlu, Taner; Dzhafarov, Vakif (Elsevier Science BV, 2016)Given a matrix polytope we consider the existence problem of a stable member in it. We suggest an algorithm in which part of uncertainty parameters is chosen randomly. Applications to affine families and 3 x 3 interval ... -
Stabilisation of discrete-time systems via Schur stability region
Büyükköroğlu, Taner; Çelebi, Gökhan; Dzhafarov, Vakif (Taylor & Francis LTD, 2018)In this paper, we consider the stabilisation problem of discrete-time systems by affine compensator. Using the known properties of the Schur stability region of monic polynomials, we give conditions under which stabilising ... -
Stabilization of Discrete Systems with Bounded Parameters
Büyükköroğlu, Taner; Dzhafarov, Vakif (2017)In this paper stabilization problem of linear discrete single input, single output plant by affine stabilizator is considered. It is assumed that stabilizing vector is bounded and its values are changed in a given box. We ... -
Stabilization of Discrete Time Systems By Reflection Coefficients
Büyükköroğlu, Taner; Çelebi, Gökhan; Dzhafarov, Vakif (Krasovskii Inst Mathematics & Mechanics Ural Branch Russian Acad Sciences, 2017)For single-input single-output discrete-time systems, we consider a stabilization problem by a fixed order controller. A number of examples show that such controller may not exist. It is assumed that the controller depends ...