Set inversion via interval analysis for nonlinear bounded-error estimation
Automatica (Journal of IFAC) - Special section on fault detection, supervision and safety for technical processes
On the Symmetric and Unsymmetric Solution Set of Interval Systems
SIAM Journal on Matrix Analysis and Applications
On the Shape of the Symmetric, Persymmetric, and Skew-Symmetric Solution Set
SIAM Journal on Matrix Analysis and Applications
A review of the parameter estimation problem of fitting positive exponential sums to empirical data
Applied Mathematics and Computation
Progress in the Solving of a Circuit Design Problem
Journal of Global Optimization
Extending Consistent Domains of Numeric CSP
IJCAI '99 Proceedings of the Sixteenth International Joint Conference on Artificial Intelligence
Universally Quantified Interval Constraints
CP '02 Proceedings of the 6th International Conference on Principles and Practice of Constraint Programming
Technical Communique: Interval constraint propagation with application to bounded-error estimation
Automatica (Journal of IFAC)
Verified Methods in Stochastic Traffic Modelling
Reliable Implementation of Real Number Algorithms: Theory and Practice
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In this paper the problem of parameter estimation for exponential sums is considered, i.e., of finding the set of parameters (amplitudes as well as decay constants) such that the exponential sum attains values in specified intervals at prescribed time data points. These intervals represent uncertainties in the measurements. An interval variant of Prony's method is given by which a box can be found containing all the consistent values of the parameters. Subsequently this box is tightened by the use of consistency techniques, which are accelerated by the introduction of redundant constraints. The use of interval arithmetic results in enclosures for the consistent values of the parameters which can be guaranteed also in the presence of rounding errors.