Browsing by Author "Büyükköroğlu, Taner"
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An algorithm for segment stability
Dzhafarov, Vakif; Büyükköroğlu, Taner (2003)In this note an algorithm for testing on stabilityunstability of polynomial segments with stable endpoints is given. The algorithm is based on wellknown segment lemma and on approximate positive real roots of suitable ... 
Belirsiz doğrusal sistemlerin kararlılık bölgelerinin bulunması yöntemleri
Çelebi, Gökhan (Anadolu Üniversitesi, 2016)Bu tez çalışmasında, belirsiz doğrusal sistemlerin Hurwitz ve Schur kararlılık problemleri incelenmiştir. Bir ve iki parametreli polinomlar ailesi için sabit inersiyon bölgeleri belirlenmiştir. n × n boyutlu polinomsal ... 
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 (IEEEInst 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 ... 
Determination of Edges of a Convex Polytope
Büyükköroğlu, Taner (Anadolu Üniversitesi, 2011)In this paper, the problem of determination of the edges of a convex polytope is considered. It is shown that this problem is equivalent to the standard linear programming problem and therefore can be solved by the simplex ... 
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 discreteTime 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 ... 
Infinite polytopes in Hurwitz stability region
Dzhafarov, Vakif; Esen, Özlem; Büyükköroğlu, Taner (PergamonElsevier 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 ... 
Matris eşitsizlikleri ve Hurwitz kümesine yaklaşımlar
Demirtaş, Nilgün, [tarih] (Anadolu Üniversitesi, 2010)Bu tez çalışmasında n. dereceden Hurwitz kararlı monik polinomlar kümesi (Hn ? Rn) ele alınmıştır. Tüm kökleri D ? C kümesinde olan n. dereceden monik polinomların kümesinin konveks zarfı, D belli koşulları sağladığında ... 
MultiAfin polinom ailelerinin Hurwitz kararlılığı
Akçay, Mediha (Anadolu Üniversitesi, 2007)Bu tez çalışmasında multilineer polinomlar ailesinin gürbüz kararlılığı ele alınmıştır. Aralık polinomlar ailesi ve polinomlar politopunun gürbüz kararlılığı için bilinen sonuçlara değinilmiş ve bu sonuçların multilineer ... 
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 continuoustime and discretetime cases, is considered. It is shown that in the continuous case the problem can be reduced ...