In this paper we investigate the Lyapunov mapping
P --> AP + PA *
where A is a positive stable matrix and P is a hermitian
matrix. In particular, for special positive stable A we
characterize the image of the cone of positive definite matrices
under this mapping. In Section...
This paper studies necessary and sufficient conditions for
a matrix to be conjunctive with its adjoint. The problem is solved
completely in the usual complex case, in which it is shown that a
matrix is conjunctive to its adjoint iff it is conjunctive to a real
matrix. The problem is...
In this thesis we define two nxn matrices T and S to be isoconjunctive if there exists an nxn nonsingular hermitian matrix H such that T = HSH. We then proceed to establish necessary and sufficient conditions that two nxn matrices T and S be isoconjunctive in the case where...
An optimization methodology, algorithms, and computer program for
cable/lumped-body deployment system are developed for the design and installation of
sonar packages in deep ocean ranges. In addition, a methodology and algorithms for the
control of the system are proposed.
A penalty function is developed in terms of the system parameters...
