Orthogonality and partial pole assignment for the symmetric definite quadratic pencil
نویسندگان
چکیده
منابع مشابه
Biorthogonality and Partial Pole Assignment for the Symmetric Definite Quadratic Pencil
The eigenvectors of a symmetric matrix can be chosen to form a biorthogonal set with respect to the identity and to the matrix itself. Similarly, the eigenvectors of a symmetric de nite linear pencil can be chosen to be biorthogonal with respect to the pair.This paper presents the three sets of matrix weights, with respect to which the eigenvectors of the symmetric de nite quadratic pencil are ...
متن کاملPartial pole assignment for the quadratic pencil by output feedback control with feedback designs
In this paper we study the partial pole assignment problem for the quadratic pencil by output feedback control where the output matrix is also a designing parameter. In addition, the input matrix is set to be the transpose of the output matrix. Under certain assumption, we give a solution to this partial pole assignment problem in which the unwanted eigenvalues are moved to desired values and a...
متن کاملThe partial eigenvalue assignment for non-symmetric quadratic pencil in multi-input case
In this paper, we propose a parametric solution to the partial eigenvalue assignment problem by state feedback control for non-symmetric quadratic pencil in multi-input case using orthogonality relations between eigenvectors. Our solution can be implemented with only a partial knowledge of the spectrum and the corresponding eigenvectors of non-symmetric quadratic pencil. We show that the number...
متن کاملSystem Assignment and Pole Placement for Symmetric Realisations
In this paper we consider the problem of system assignment for the class of linear output feedback systems having symmetric state space realisations. For such systems the classical pole placement task can be considered as a degenerate case of a more general system assignment problem. It is shown that a symmetric state space realisation can be assigned arbitrary (real) poles via output feedback ...
متن کاملPartial pole assignment for the vibrating system with aerodynamic effect
The partial pole assignment (PPA) problem is the one of reassigning a few unwanted eigenvalues of a control system by feedback to suitably chosen ones, while keeping the remaining large number of eigenvalues unchanged. The problem naturally arises in modifying dynamical behaviour of the system. The PPA has been considered by several authors in the past for standard state–space systems and for q...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Linear Algebra and its Applications
سال: 1997
ISSN: 0024-3795
DOI: 10.1016/s0024-3795(96)00036-5