Geodesic
Optimal Control of Undamped Sobolev-Type Retarded Systems
Matematičeskie zametki, Tome 102 (2017) no. 3, pp. 323-338

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The optimal control problem for a system whose evolution is described by a Sobolev-type second-order retarded operator-differential equation is studied. The main assumption is that a restriction is imposed on the derivatives of the resolvent of the quadratic operator pencil on a ray in the right half-plane. Several applications to systems described by non-Kovalevskaya-type partial differential equations are considered.
Keywords: cosine operator function, quadratic quality functional, non-Kovalevskaya-type partial differential equation. 
@article{MZM_2017_102_3_a0,
     author = {L. A. Vlasenko and A. G. Rutkas},
     title = {Optimal {Control} of {Undamped} {Sobolev-Type} {Retarded} {Systems}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {323--338},
     publisher = {mathdoc},
     volume = {102},
     number = {3},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2017_102_3_a0/}
}
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L. A. Vlasenko; A. G. Rutkas. Optimal Control of Undamped Sobolev-Type Retarded Systems. Matematičeskie zametki, Tome 102 (2017) no. 3, pp. 323-338. http://geodesic.mathdoc.fr/item/MZM_2017_102_3_a0/