نتایج جستجو برای: interval unilateral quadratic matrix equation

تعداد نتایج: 844687  

2009
Shawn B. McCamish Marcello Romano Simon Nolet Christine M. Edwards David W. Miller

A, B, C = state-space matrices a = acceleration due to linear-quadratic-regulatorand artificial-potential-field-determined control effort aAPF = acceleration due to artificial-potential-fielddetermined control effort aLQR = acceleration due to linear-quadratic-regulatordetermined control effort am = maximum acceleration aobs = acceleration of chaser spacecraft toward an obstacle ax;y;z = accele...

Journal: :Automatica 2008
William M. McEneaney

The matrix differential Riccati equation (DRE) is ubiquitous in control and systems theory. The presence of the quadratic term implies that a simple linear-systems fundamental solution does not exist. Of course it is well-known that the Bernoulli substitution may be applied to obtain a linear system of doubled size. Here however, tools from max-plus analysis and semiconvex duality are brought t...

Journal: :IJAC 2012
Olga Kharlampovich Alina Vdovina

We prove that in a free group the length of the value of each variable in a minimal solution of a standard quadratic equation is bounded by 2s for orientable equation and by 12s for non-orientable equation, where s is the sum of the lengths of the coefficients.

2000
G. A. Kozlov

We reformulate the dual gauge model of the long-distance Yang-Mills theory in terms of the two-point Wightman functions formalism. In the flux-tube scheme of Abelian dominance and monopole condensation, the analytic expressions of both monopole-and dual gauge boson-fields propagators are obtained. Formally, new features of higher order quadratic equations for a monopole field are given. Finally...

2011
PALTIN IONESCU FRANCESCO RUSSO

Small codimensional embedded manifolds defined by equations of small degree are Fano and covered by lines. They are complete intersections exactly when the variety of lines through a general point is so and has the right codimension. This allows us to prove the Hartshorne Conjecture for manifolds defined by quadratic equations and to obtain the list of such Hartshorne manifolds.

2007
Stavros Argyrios Papadakis

The type II1 unprojection is, by definition, the generic complete intersection type II unprojection, in the sense of [P] Section 3.1, for the parameter value k = 1, and depends on a parameter n ≥ 2. Our main results are the explicit calculation of the linear relations of the type II1 unprojection for any value n ≥ 2 (Theorem 3.16) and the explicit calculation of the quadratic equation for the c...

2017
Joel D. Day Florin Manea Dirk Nowotka

We investigate the class of regular-ordered word equations. The sides of such an equation contain both exactly the same variables, occurring in the same order (but separated by potentially distinct constant factors). Surprisingly, we obtain that solving even such simple equations is NP-hard. By considerations regarding the combinatorial structure of the minimal solutions of the more general qua...

Journal: :Foundations of Computational Mathematics 2014
Emmanuel J. Candès Xiaodong Li

This note shows that we can recover any complex vector x0 ∈ C exactly from on the order of n quadratic equations of the form |〈ai,x0〉| = bi, i = 1, . . . ,m, by using a semidefinite program known as PhaseLift. This improves upon earlier bounds in [3], which required the number of equations to be at least on the order of n log n. Further, we show that exact recovery holds for all input vectors s...

Journal: :Applied Mathematics and Computation 2014
Vasiliy Ye. Belozyorov Sergii V. Chernyshenko

A development quadratic model of the heterogeneous biological population consisting of a few sub-populations is investigated. The classic stabilization problem of solutions for the system of ordinary quadratic differential equations, which describing this model, is solved. Examples are given. 2013 Elsevier Inc. All rights reserved.

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