Two splitting-domain algorithms using interval analysis to analyse and optimise a scalar criterion that depends non-linearly on a parameter vector are presented. Their results are guaranteed, and provided with an esti...
详细信息
Two splitting-domain algorithms using interval analysis to analyse and optimise a scalar criterion that depends non-linearly on a parameter vector are presented. Their results are guaranteed, and provided with an estimation of their degree of approximation. As an example of application, the stability degree of linear time-invariant parametric systems is considered. It is thus possible to characterise isodegrees in the parameter space and to compute a set guaranteed to contain all values of the parameters that maximise (or minimise) the stability degree as well as an interval guaranteed to contain its optimal value. Several examples of the literature illustrate the efficiency of the method.
暂无评论