Journal ArticleDOI
On Nonnegative Solutions of the Equation $AD + DA' = - C$
J. Snyders,Moshe Zakai +1 more
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This article is published in Siam Journal on Applied Mathematics.The article was published on 1970-05-01. It has received 87 citations till now.read more
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Solutions of matrix NLS systems and their discretizations: a unified treatment
TL;DR: A unified treatment of continuous, semi-discrete (Ablowitz?Ladik) and fully discrete matrix NLS systems is presented and a large part of this work is devoted to an exploration of the corresponding solutions, in particular regularity and asymptotic behaviour of matrix soliton solutions.
Proceedings ArticleDOI
Some Chandrasekhar-type algorithms for quadratic regulators
TL;DR: In this paper, the authors present an algorithm that requires only the solution of n(m + p) simultaneous equations: the nm elements of the feed-back gain matrix K(?) and the np elements of a rank-p square-root of the derivative of P(?), where p is the rank of the nonnegative-definite weighting matrix Q that measures the contribution of the state trajectory to the cost functional.
Journal ArticleDOI
Nonsingular solutions of TA−BT=C
TL;DR: In this paper, sufficient conditions are given for every solution to be nonsingular when solutions exist when A, B and C are given square matrices and C is of rank one.
Journal ArticleDOI
Stability and inertia
TL;DR: A brief overview of matrix stability and inertia theory can be found in this paper, where a nonspectral implicit matrix equation method is used to determine the stability of a nonhermitian matrix.
Journal ArticleDOI
Brief An observer for systems with nonlinear output map
TL;DR: A nonlinear observer, with the feedback gain weighted by the sensitivity of the output with respect to the state, is developed for systems with nonlinear output map.
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