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 |