Control problem structure and the numerical solution of linear singular systems
S. Campbell. Mathematics of Control, Signals, and Systems (MCSS), 1 (1):
73--87(Feb 1, 1988)
DOI: 10.1007/bf02551237
Abstract
Recently, a general numerical procedure has been developed for solvable systems of singular differential equations E(t)x′(t)+F(t)x(t)=f(t) . This paper shows how to exploit the structure present in many control problems to reduce the computational effort substantially. An example is worked which shows that additional reductions are possible in some cases.
%0 Journal Article
%1 citeulike:11616547
%A Campbell, Stephen L.
%D 1988
%I Springer London
%J Mathematics of Control, Signals, and Systems (MCSS)
%K descriptor-system 65l80-numerical-daes 93c35-multivariable-control-systems 34a09-implicit-odes-daes
%N 1
%P 73--87
%R 10.1007/bf02551237
%T Control problem structure and the numerical solution of linear singular systems
%U http://dx.doi.org/10.1007/bf02551237
%V 1
%X Recently, a general numerical procedure has been developed for solvable systems of singular differential equations E(t)x′(t)+F(t)x(t)=f(t) . This paper shows how to exploit the structure present in many control problems to reduce the computational effort substantially. An example is worked which shows that additional reductions are possible in some cases.
@article{citeulike:11616547,
abstract = {{Recently, a general numerical procedure has been developed for solvable systems of singular differential equations E(t)x′(t)+F(t)x(t)=f(t) . This paper shows how to exploit the structure present in many control problems to reduce the computational effort substantially. An example is worked which shows that additional reductions are possible in some cases.}},
added-at = {2017-06-29T07:13:07.000+0200},
author = {Campbell, Stephen L.},
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citeulike-linkout-1 = {http://www.springerlink.com/content/130v44725473270q},
comment = {cited by Sontag (1998, p. 77)},
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doi = {10.1007/bf02551237},
file = {campbell_88_control.pdf},
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journal = {Mathematics of Control, Signals, and Systems (MCSS)},
keywords = {descriptor-system 65l80-numerical-daes 93c35-multivariable-control-systems 34a09-implicit-odes-daes},
month = feb,
number = 1,
pages = {73--87},
posted-at = {2012-11-05 14:05:48},
priority = {2},
publisher = {Springer London},
timestamp = {2022-05-20T04:25:34.000+0200},
title = {{Control problem structure and the numerical solution of linear singular systems}},
url = {http://dx.doi.org/10.1007/bf02551237},
volume = 1,
year = 1988
}