Geodesic
Tracking of solution to parabolic equation with memory for general class of controls
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 53-64

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We consider a control problem for parabolic equation with memory. It consists in constructing an algorithm for finding a feedback control such that a solution to a given equation should track a solution to another equation generated by an unknown right-hand side. We propose two noise-resistant solution algorithms for this problem which are based on the method of extremal shift. The first algorithm is applicable in the case of continuous measurements of phase states, whereas the second one presumes discrete measurements.
Keywords: systems with distributed parameters, retarded systems, control. 
@article{IVM_2016_10_a6,
     author = {P. G. Surkov},
     title = {Tracking of solution to parabolic equation with memory for general class of controls},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {53--64},
     publisher = {mathdoc},
     number = {10},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2016_10_a6/}
}
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P. G. Surkov. Tracking of solution to parabolic equation with memory for general class of controls. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2016), pp. 53-64. http://geodesic.mathdoc.fr/item/IVM_2016_10_a6/