Kurum Yazarı "Dzhafarov, Vakif" Scopus İndeksli Yayınlar Koleksiyonu İçin Listeleme
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An algorithm for segment stability
Dzhafarov, Vakif; Büyükköroğlu, Taner (2003)In this note an algorithm for testing on stability-unstability of polynomial segments with stable end-points is given. The algorithm is based on well-known segment lemma and on approximate positive real roots of suitable ... -
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 diagonal stability of second order interval systems
Yıldız, B.; Büyükköroğlu, Taner; Dzhafarov, Vakif (SciTePress, 2014)In this paper for second order interval systems we obtain necessary and sufficient conditions for the existence of a common diagonal solutions to the Lyapunov (Stein) inequality. Hurwitz and Schur cases are considered ... -
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 ... -
Diagonal stability of uncertain interval systems
Dzhafarov, Vakif; Büyükköroğlu, Taner; Yıldız, B. (SciTePress, 2015)In this paper we consider the problem of diagonal stability of interval systems. We investigate the existence and evaluation of a common diagonal solution to the Lyapunov and Stein matrix inequalities for third order ... -
Discrete Time Stability Margins From Stein's Equation
Yıldız, Bengi; Dzhafarov, Vakif; Bhattacharyya, Shankar P. (IEEE, 2015)This paper deals with the robust stability of a discrete time stable state space system subject to structured real parameter uncertainty. Using Lyapunov's Theorem and Stein's equation the radius of a stability hypersphere ... -
Infinite polytopes in Hurwitz stability region
Dzhafarov, Vakif; Esen, Özlem; Büyükköroğlu, Taner (Pergamon-Elsevier Science LTD, 2019)We consider Hurwitz stability region in the parameter space of monic polynomials. Firstly, a multilinear map from the positive first octant of the cartesian coordinate system to the stability region is defined. Based on ... -
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, ... -
On Different Types of Stability of Linear Polytopic Systems
Dzhafarov, Vakif; Büyükköroğlu, Taner; Esen, O. (Maik Nauka/Interperiodica/Springer, 2010)Different types of stability of linear uncertain systems are considered. Stability conditions in terms of nonsingularity are obtained. Numerical examples of using the Bernstein expansion of the determinant function are given. -
On nonsingularity of a polytope of matrices
Dzhafarov, Vakif; Büyükköroğlu, Taner (Elsevier Science Inc, 2008)The nonsingularity problem of a polytope of real matrices and its relation to the (robust) stability problem is considered. This problem is investigated by using the Bernstein expansion of the determinant function. Here ... -
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 ...