Complex Interval Constraint Propagation for Non Linear Bounded-Error Parameter Identification

This paper is dedicated to bounded error identification with complex valued non-linear models. Complex intervals are characterized by using polar forms and a new inclusion function is given for the addition of sectors. The latter is expressed as an optimization problem solved analytically. The new complex interval arithmetic is used for solving constraint satisfaction problems with complex variables and is used within algorithms for bracketing the interval hull of posterior feasible parameter sets. A case study from dielectric relaxation spectra analysis, involving a fairly large number of parameters is investigated from simulation data.