Extrapolation Methods for the Computation of Set-Valued Integrals and Reachable Sets of Linear Differential Inclusions

R. Baier: Extrapolation Methods for the Computation of Set-Valued Integrals and Reachable Sets of Linear Differential Inclusions
ZAMM 74 (6), T555 - T557, 1994

DOI: 10.1002/zamm.19940740605
Zentralblattnummer: 0816.93007
Keywords: reachable sets; extrapolation methods; linear differential inclusions
Mathematics Subject Classification Code: 93B03 (28B20 34A60 65L05 65L06)


Abstract:

A linear differential inclusion is considered with a starting set, an integrable nxn-matrix function and a measurable and integrably bounded set-valued mapping with nonempty compact images for the control region. The reachable set (the set of all possible endpoints of absolutely continuous solutions) is approximated of order 2j+ 2 under suitable assumptions. A numerical example is presented.

Contents:

1. Introduction
2. Romberg's method for set-valued mapping
3. Extrapolation method for the computation of reachable sets

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