Quadratic pencil pole assignment by affine sums
نویسندگان
چکیده
منابع مشابه
Partial 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 کاملBiorthogonality 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 کاملOn Successive Pole Assignment by Linear-Quadratic Optimal Feedbacks
This paper studies a method of shifting poles of linear constant systems via LQ optimal feedback. By making use of a solution to the so-called inverse regulator problem, this method enables us to shift poles successively by pairs while maintaining the well-known advantages of LQ regulators. Polynomial fractional representation is effectively used both to characterize the maximal pole-assignable...
متن کاملAffine maps between quadratic assignment polytopes and subgraph isomorphism polytopes
We consider two polytopes. The quadratic assignment polytope QAP(n) is the convex hull of the set of tensors x⊗x, x ∈ Pn, where Pn is the set of n×n permutation matrices. The second polytope is defined as follows. For every permutation of vertices of the complete graph Kn we consider appropriate (n 2 ) × (n 2 ) permutation matrix of the edges of Kn. The Young polytope P ((n − 2, 2)) is the conv...
متن کاملGauss Sums & Representation by Ternary Quadratic Forms
This paper specifies some conditions as to when an integer m is locally represented by a positive definite diagonal integer-matrix ternary quadratic form Q at a prime p. We use quadratic Gauss sums and a version of Hensel’s Lemma to count how many solutions there are to the equivalence Q(~x) ≡ m (mod p) for any k ≥ 0. Given that m is coprime to the determinant of the Hessian matrix of Q, we can...
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: ANZIAM Journal
سال: 2004
ISSN: 1445-8810
DOI: 10.21914/anziamj.v45i0.910