Applied Interval Analysis: With Examples in Parameter and by Luc Jaulin,Michel Kieffer,Olivier Didrit,Eric Walter PDF

By Luc Jaulin,Michel Kieffer,Olivier Didrit,Eric Walter

on the middle of many engineering difficulties is the answer of units of equa­ tions and inequalities, and the optimization of rate services. regrettably, other than in exact situations, corresponding to whilst a collection of equations is linear in its un­ knowns or whilst a convex expense functionality needs to be minimized less than convex constraints, the consequences got by means of traditional numerical tools are just neighborhood and can't be assured. this implies, for instance, that the particular international minimal of a value functionality will not be reached, or that a few international minimizers of this rate functionality may well break out detection. against this, period research makes it attainable to procure assured approximations of the set of the entire genuine strategies of the matter being thought of. This, including the shortcoming of books proposing period concepts in the sort of means that they can develop into a part of any engineering numerical device equipment, influenced the writing of this publication. the journey began in 1991 with the guidance by way of Luc Jaulin of his PhD thesis, below Eric Walter's supervision. It persevered with their joint supervision of Olivier Didrit's and Michel Kieffer's PhD theses. greater than years in the past, after we offered our e-book undertaking to Springer, we naively idea that redaction will be an easy topic, given what had already been completed . . .

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Applied Interval Analysis: With Examples in Parameter and State Estimation, Robust Control and Robotics by Luc Jaulin,Michel Kieffer,Olivier Didrit,Eric Walter

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