We give detailed discussion of a procedure for determining the robust -stability of a real matrix. The procedure begins from the Hurwitz stability criterion. The procedure is applied to two numerical examples.
A recent method for the global optimization of a real valued function defined in the -dimensional euclidean space has been applied to the detection of the most stable conformation of a molecule. The method, inspired by the quantum mechanical theory of diffusion across potential barriers, finds the deepest minimum of the intramolecular energy hypersurface by following the asymptotic behaviour of the paths of a system of stochastic differential equations. As an example of its application, the search...
A recent method for the global optimization of a real valued function defined in the -dimensional euclidean space has been applied to the detection of the most stable conformation of a molecule. The method, inspired by the quantum mechanical theory of diffusion across potential barriers, finds the deepest minimum of the intramolecular energy hypersurface by following the asymptotic behaviour of the paths of a system of stochastic differential equations. As an example of its application, the search...
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