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  Providing a Basin of Attraction to a Target Region by Computation of Lyapunov-like Functions

She, Z., & Ratschan, S. (2006). Providing a Basin of Attraction to a Target Region by Computation of Lyapunov-like Functions. In 4th IEEE International Conference on Computational Cybernetics (pp. 245-249). MA, USA: IEEE.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-23C3-D Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-23C4-B
Genre: Conference Paper

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 Creators:
She, Zhikun1, Author           
Ratschan, Stefan1, Author           
Affiliations:
1Programming Logics, MPI for Informatics, Max Planck Society, ou_40045              

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 Abstract: In this paper, we present a method for computing a basin of attraction to a target region for non-linear ordinary differential equations. This basin of attraction is ensured by a Lyapunov-like polynomial function that we compute using an interval based branch-and-relax algorithm. This algorithm relaxes the necessary conditions on the coefficients of the Lyapunov-like function to a system of linear interval inequalities that can then be solved exactly, and iteratively reduces the relaxation error by recursively decomposing the state space into hyper-rectangles. Tests on an implementation are promising.

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Language(s): eng - English
 Dates: 2007-04-262006
 Publication Status: Issued
 Pages: -
 Publishing info: MA, USA : IEEE
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 314527
Other: Local-ID: C1256104005ECAFC-17050818335302ADC125722E003F349E-She2005b
 Degree: -

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Title: Untitled Event
Place of Event: Tallinn, Estonia
Start-/End Date: 2006-08-20

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Title: 4th IEEE International Conference on Computational Cybernetics
Source Genre: Proceedings
 Creator(s):
Affiliations:
Publ. Info: MA, USA : IEEE
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 245 - 249 Identifier: ISBN: 1-4244-0072-4