Geodesic
Solution of the Control Problem for a Linear Descriptor System with Rectangular Coefficient Matrix
Matematičeskie zametki, Tome 88 (2010) no. 6, pp. 885-896

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We pose a control problem for linear stationary algebro-differential system whose coefficients are rectangular matrices. We obtain a controllability criterion for the partially given output function and the boundary values of the state function. We construct a control function and a state function under minimal smoothness requirements on the output function.
Keywords: linear descriptor system, control problem, algebro-differential system, controllability criterion, completely controllable system
Mots-clés : pseudoinverse matrix. 
@article{MZM_2010_88_6_a7,
     author = {S. P. Zubova},
     title = {Solution of the {Control} {Problem} for a {Linear} {Descriptor} {System} with {Rectangular} {Coefficient} {Matrix}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {885--896},
     publisher = {mathdoc},
     volume = {88},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_6_a7/}
}
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S. P. Zubova. Solution of the Control Problem for a Linear Descriptor System with Rectangular Coefficient Matrix. Matematičeskie zametki, Tome 88 (2010) no. 6, pp. 885-896. http://geodesic.mathdoc.fr/item/MZM_2010_88_6_a7/