Kurum Yazarı "Dzhafarov, Vakif" Makale Koleksiyonu İçin Listeleme
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The circle as an attractor of an iterated function system on the plane
Demir, Bünyamin; Dzhafarov, Vakif; Koçak, Şahin; Üreyen, Mehmet (Academic Press Inc Elsevier Science, 2007)We give an iterated function system (IFS) on the plane with the circle as attractor. In doing this, we also give a sufficient condition for radially contracting functions on the plane (or on R-n) to be a contraction. A ... -
Common diagonal solutions to the Lyapunov inequalities for interval systems
Yıldız, Bengi; Büyükköroğlu, Taner; Dzhafarov, Vakif (Springer International Publishing Ag, 2016)In this paper for interval systems we consider the problem of existence and evaluation of common diagonal solutions to the Lyapunov inequalities. For second order systems, we give necessary and sufficient conditions and ... -
Common Lyapunov Functions for Some Special Classes of Stable Systems
Büyükköroğlu, Taner; Esen, Özlem; Dzhafarov, Vakif (IEEE-Inst Electrical Electronics Engineers Inc, 2011)In this work we consider the problem of existence and determination of a common positive definite solution (common quadratic Lyapunov function) to a set of Lyapunov matrix inequalities. We investigate a parameterized matrix ... -
The common vector approach and its comparison with other subspace methods in case of sufficient data
Gülmezoğlu, M. Bilginer; Dzhafarov, Vakif; Edizkan, Rıfat; Barkana, Atalay (Academic Press LTD- Elsevier Science LTD, 2007)This paper presents an application of the common vector approach (CVA), an approach mainly used for speech recognition problems when the number of data items exceeds the dimension of the feature vectors. The calculation ... -
Derivatives of the restrictions of harmonic functions on the Sierpinski gasket to segments
Demir, Bünyamin; Dzhafarov, Vakif; Koçak, Şahin; Üreyen, Mehmet (Academic Press Inc Elsevier Science, 2007)We give an explicit derivative computation for the restriction of a harmonic function on SG to segments at specific points of the segments: The derivative is zero at points dividing the segment in ratio 1:3. This shows ... -
A note on a theorem of Rantzer
Dzhafarov, Vakif; Koçak, Şahin; Azcan, Hüseyin (John Wiley & Sons LTD, 2002)In this note we fill the missing cases of a theorem of Rantzer on the relationship between n-convex directions and the growth condition. We mainly show that if a second or a third order polynomial is a 3-convex direction, ... -
A novel approach to isolated word recognition
Gülmezoğlu, M. Bilginer; Dzhafarov, Vakif; Keskin, M; Barkana, Atalay (IEEE-Inst Electrical Electronics Engineers Inc, 1999)A voice signal contains the psychological and physiological properties of the speaker as well as dialect differences, acoustical environment effects, and phase differences. For these reasons, the same word uttered by ... -
On One Application of Convex Optimization to Stability of Linear Systems
Dzhafarov, Vakif; Büyükköroğlu, Taner; Yılmaz, Şerife (Krasovskii Inst Mathematics & Mechanics Ural Branch Russian Acad Sciences, 2015)One of the most important problem of control theory is control of switched systems. This problem is related to the common quadratic Lyapunov function problem and one of the way to solve it is LMI (Linear Matrix Inequalities) ... -
On Stability of Parametrized Families of Polynomials and Matrices
Akyar, Handan; Büyükköroğlu, Taner; Dzhafarov, Vakif (Hindawi Publishing Corporation, 2010)The Schur and Hurwitz stability problems for a parametric polynomial family as well as the Schur stability problem for a compact set of real matrix family are considered. It is established that the Schur stability of a ... -
On the Robust Stability of Polynomial Matrix Families
Büyükköroğlu, Taner; Çelebi, Gökhan; Dzhafarov, Vakif (Int Linear Algebra Soc, 2015)In this study, the problem of robust asymptotic stability of n x n, polynomial matrix family, in both continuous-time and discrete-time cases, is considered. It is shown that in the continuous case the problem can be reduced ... -
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 ...