Kurum Yazarı "Büyükköroğlu, Taner" WoS İndeksli Yayınlar Koleksiyonu İçin Listeleme
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Common diagonal Lyapunov function for third order linear switched system
Büyükköroğlu, Taner (Elsevier Science BV, 2012)Consider the stability problem for the following linear switched system (differential inclusion) (x) over dot = Ax, A is an element of {A1, A2, . . . , A(N)}. Here A(i) (i = 1, 2, . . . . N) are n x n dimensional Hurwitz ... -
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 ... -
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 ... -
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 ... -
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 ... -
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 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 ...