Article information
1997 , Volume 2, ¹ 1, p.84-102
Shary S.P.
A new approach to the analysis of static systems with the interval uncertainty of the data
The paper is devoted to mathematical and computational aspects of the modeling of static systems under interval uncertainty of data: assuming various conditions at the inputs and outputs of the system, we consider the problem of guaranteed estimation of its states. As a formalization of the mathematical problem statement we introduce the concept of generalized solutions (-solutions) to interval equations. The main result of our work is a new algebraic approach to the inner interval estimation of -solution sets of the interval equations, its mathematical basis being the change of the initial problem to the problem of finding the algebraic solution to an auxiliary equation in Kaucher complete interval arithmetic.
[full text] Author(s): Shary Sergey Petrovich Dr. , Senior Scientist Position: Leading research officer Office: Federal Research Center for Information and Computational Technologies Address: 630090, Russia, Novosibirsk, Ac. Lavrentiev ave, 6
Phone Office: (3832) 30 86 56 E-mail: shary@ict.nsc.ru SPIN-code: 9938-9344 Bibliography link: Shary S.P. A new approach to the analysis of static systems with the interval uncertainty of the data // Computational technologies. 1997. V. 2. ¹ 1. P. 84-102
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