Geodesic
Synthesis of State Descriptors in the Problem of Multiprogram Stabilization of Bilinear Systems
Matematičeskie zametki, Tome 72 (2002) no. 4, pp. 535-546

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In the present paper, the problem of stabilizing a family of program motions of a bilinear nonstationary system with the help of a nonlinear full-order state descriptor for this system and a nonlinear Luenberger descriptor is considered. Methods to synthesize such descriptors and to construct a multiprogram stabilizing control in the form of nonlinear feedback are suggested. Theorems on sufficient conditions for the existence of a solution of the above problem are proved. 
@article{MZM_2002_72_4_a6,
     author = {N. V. Smirnov},
     title = {Synthesis of {State} {Descriptors} in the {Problem} of {Multiprogram} {Stabilization} of {Bilinear} {Systems}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {535--546},
     publisher = {mathdoc},
     volume = {72},
     number = {4},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2002_72_4_a6/}
}
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N. V. Smirnov. Synthesis of State Descriptors in the Problem of Multiprogram Stabilization of Bilinear Systems. Matematičeskie zametki, Tome 72 (2002) no. 4, pp. 535-546. http://geodesic.mathdoc.fr/item/MZM_2002_72_4_a6/