Yazar "Dzhafarov, Vakif" için 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, Bengi (IEEE, 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 ... -
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 ... -
Kompleks Katsayılı Polinomların Konveks Kombinasyonlarının Kararlılığı
Dzhafarov, Vakif; Büyükköroğlu, Taner (Anadolu Üniversitesi, 2002)Polinomlar politopunun kararlılığı için, Kenar Teoremine (Edge Theorem) göre eğer politopun tüm kenarları kararlı ve politoptaki polinomların dereceleri aynı ise o zaman tüm politop da kararlıdır. Bundan dolayı, iki kararlı ... -
Matrisler Ailesinin Gürbüz ve Kuadratik Kararlılığı Üzerine
Dzljafarov, Vakıf; Esen, A. Özlem; Dzhafarov, Vakif; Esen, A. Özlem (Anadolu Üniversitesi, 2002)Bu çalışmada kararlı matrislerin ve onların karakteristik polinomlarmm konveks kombinasyonlarının kararlılığı arasındaki bağlantılar incelenmiştir. Konveks kombinasyonlar ailesinin gürbüz ve kuadratik kararlılığı için ... -
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 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 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 ...
