The Wrapping Eeect, Ellipsoid Arithmetic, Stability and Conndence Regions
نویسنده
چکیده
The wrapping eeect is one of the main reasons that the application of interval arithmetic to the enclosure of dynamical systems is diicult. In this paper the source of wrapping is analyzed algebraically and geometrically. A new method for reducing the wrapping eeect is proposed, based on an interval ellipsoid arithmetic. Applications are given to the veriication of stability regions for nonlinear discrete dynamical systems and to the computation of rigorous conndence regions for nonlinear functions of normally distributed random vectors. The wrapping eeect, ellipsoid arithmetic, stability regions and conndence regions
منابع مشابه
The wrapping effect, ellipsoid arithmetic, stability and confidence regions
The wrapping effect is one of the main reasons that the application of interval arithmetic to the enclosure of dynamical systems is difficult. In this paper the source of wrapping is analyzed algebraically and geometrically. A new method for reducing the wrapping effect is proposed, based on an interval ellipsoid arithmetic. Applications are given to the verification of stability regions for no...
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