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Constraint partitioning for stability in path-constrained dynamic optimization problems

delete2001-01-01
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PRE
AI
S
Soumyendu Raha *
P
Petzold, LR
DOI:10.1137/S1064827500372390delete
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摘要

摘要

En 中文
In this paper an algorithm for extracting a stable differential-algebraic subsystem from a path-constrained dynamical system is proposed. The subsystem may be integrated directly by a differential-algebraic system integrator to evaluate constraints in shooting- or multiple shooting-type direct methods for solving path-constrained dynamic optimization problems. The algorithm appends algebraic constraints to the unconstrained ordinary differential equation subsystem based on a stability estimate for the resulting differential-algebraic system. The logarithmic norm is used to compute a stability estimate for index 1 and index 2 subsystems. The working of the algorithm is illustrated with examples.
Keyword:
dynamic optimization
stability
path constraints
constraint partitioning

期刊

SIAM Journal on Scientific Computing 封面图
SIAM Journal on Scientific Computing
IF:
2.6
论文数:
5.1K
被引数:
1.8W

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