Yazar "Büyükköroğlu, Taner" için Fen Fakültesi 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 ... -
Calculation of Cutoff Frequency For Polynomial Families
Büyükköroğlu, Taner; Çelebi, Gökhan (2017)In many stability problems, the investigation of pure imaginary roots for a polynomial family is very important. Given a pure imaginary complex number, the set of all images of uncertainty vectors is called the value set ... -
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 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 ... -
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 ... -
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 ... -
Fixed order controller for schur stability
Büyükköroğlu, Taner (MDPI AG, 2016)If the characteristic polynomial of a discrete-Time system has all its roots in the open unit disc of the complex plane, the system is called Schur stable. In this paper, the Schur stabilization problem of closed loop ... -
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 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 ...