Ara
Toplam kayıt 18, listelenen: 1-10
Random search of stable member in a matrix polytope
(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 ...
Stabilization of Discrete Time Systems By Reflection Coefficients
(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 ...
On nonsingularity of a polytope of matrices
(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
(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) ...
Diagonal Stability of Uncertain Interval Systems
(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 ...
Stabilisation of discrete-time systems via Schur stability region
(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 ...
Common diagonal solutions to the Lyapunov inequalities for interval systems
(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 ...
On the Robust Stability of Polynomial Matrix Families
(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 ...
Common Lyapunov Functions for Some Special Classes of Stable Systems
(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 ...
On Stability of Parametrized Families of Polynomials and Matrices
(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 ...