8,564 research outputs found
State space formulas for stable rational matrix solutions of a Leech problem
Given stable rational matrix functions and , a procedure is presented
to compute a stable rational matrix solution to the Leech problem
associated with and , that is, and . The solution is given in the form of a state space
realization, where the matrices involved in this realization are computed from
state space realizations of the data functions and .Comment: 25 page
Supersymmetric multi-Higgs doublet model with non-linear electroweak symmetry breaking
The electroweak symmetry is nonlinearly realized in an extension of the
minimal supersymmetric standard model (MSSM) through an additional pair of
constrained Higgs doublet superfields. The superpotential couplings of this
constrained Higgs doublet pair to the MSSM Higgs doublet pair catalyze their
vacuum expectation values. The Higgs and Higgsino-gaugino mass spectrum is
presented for several choices of supersymmetry (SUSY) breaking and Higgs
superpotential mass parameters. The additional vacuum expectation values
provided by the constrained fields can produce a phenomenology quite different
than that of the MSSM .Comment: 41 pages, 16 figure
All solutions to the relaxed commutant lifting problem
A new description is given of all solutions to the relaxed commutant lifting
problem. The method of proof is also different from earlier ones, and uses only
an operator-valued version of a classical lemma on harmonic majorants.Comment: 15 page
State space formulas for a suboptimal rational Leech problem II: Parametrization of all solutions
For the strictly positive case (the suboptimal case), given stable rational
matrix functions and , the set of all solutions to the
Leech problem associated with and , that is, and
, is presented as the range of a linear
fractional representation of which the coefficients are presented in state
space form. The matrices involved in the realizations are computed from state
space realizations of the data functions and . On the one hand the
results are based on the commutant lifting theorem and on the other hand on
stabilizing solutions of algebraic Riccati equations related to spectral
factorizations.Comment: 28 page
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