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Direct multiple shooting method
In the area of mathematics known as numerical ordinary differential equations, the direct multiple shooting method is a numerical method for the…
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8 relations
Jacobian matrix and determinant
List of numerical analysis topics
Newton's method
Numerical method
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2018
2018
Global optimal control with the direct multiple shooting method
H. Diedam
,
S. Sager
2018
Corpus ID: 15763053
We propose to solve global optimal control problems with a new algorithm that is based on Bock's direct multiple shooting method…
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2015
2015
Direct Multiple Shooting for Nonlinear Optimum Experimental Design
Dennis Janka
,
S. Körkel
,
H. Bock
2015
Corpus ID: 123821641
Optimum experimental design (OED) for parameter identification has become a key technique in the model validation process for…
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Highly Cited
2014
Highly Cited
2014
Rigorous Numerics for Nonlinear Differential Equations Using Chebyshev Series
J. Lessard
,
Christian Reinhardt
SIAM Journal on Numerical Analysis
2014
Corpus ID: 4655779
A computational method based on Chebyshev series to rigorously compute solutions of initial and boundary value problems of…
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Review
2011
Review
2011
The Direct Multiple Shooting Method for Optimal Control
C. Kirches
2011
Corpus ID: 59859183
In this chapter we consider a class of continuous optimal control problems. We survey different numerical solution approaches…
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2009
2009
Complementary Condensing for the Direct Multiple Shooting Method
C. Kirches
,
H. Bock
,
J. Schlöder
,
S. Sager
International Conference on High Performance…
2009
Corpus ID: 16610624
In this contribution we address the efficient solution of optimal control problems of dynamic processes with many controls. Such…
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Highly Cited
2009
Highly Cited
2009
Direct methods with maximal lower bound for mixed-integer optimal control problems
S. Sager
,
H. Bock
,
G. Reinelt
Mathematical programming
2009
Corpus ID: 14472754
Many practical optimal control problems include discrete decisions. These may be either time-independent parameters or time…
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Review
2005
Review
2005
Fast Direct Multiple Shooting Algorithms for Optimal Robot Control
M. Diehl
,
H. Bock
,
H. Diedam
,
Pierre-Brice Wieber
2005
Corpus ID: 5250047
In this overview paper, we first survey numerical approaches to solve nonlinear optimal control problems, and second, we present…
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Highly Cited
2005
Highly Cited
2005
A Real-Time Iteration Scheme for Nonlinear Optimization in Optimal Feedback Control
M. Diehl
,
H. Bock
,
J. Schlöder
SIAM Journal of Control and Optimization
2005
Corpus ID: 207079410
An efficient Newton-type scheme for the approximate on-line solution of optimization problems as they occur in optimal feedback…
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Review
2000
Review
2000
Real-time optimization and nonlinear model predictive control of processes governed by differential-algebraic equations
M. Diehl
,
H. Bock
,
J. Schlöder
,
R. Findeisen
,
Z. Nagy
,
F. Allgöwer
2000
Corpus ID: 16078312
Highly Cited
2000
Highly Cited
2000
A Direct Multiple Shooting Method for Real-Time Optimization of Nonlinear DAE Processes
H. Bock
,
M. Diehl
,
D. Leineweber
,
J. Schlöder
2000
Corpus ID: 124273316
The direct multiple shooting method has long been known as a fast off-line optimization method in ODE and DAE (e.g. [B81,BP84,P81…
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