Geodesic
Adaptive algorithm of parametric synthesis of hybrid dynamical systems
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 16 (2016) no. 4, pp. 465-475

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Hybrid dynamical systems (HDS) are connected by means of the boundary conditions and the constraint’s conditions systems of ordinary differential equations and partial differential equations with the corresponding initial conditions. Under the parametric synthesis we understand the algorithm for selecting parameters of feedbacks of controlled HDS, providing the required quality of transients. This paper proposes an adaptive algorithm for parametric synthesis of controlled HDS in which the parameters of “desired” real frequency characteristics are added to the set of optimization parameters. 
@article{ISU_2016_16_4_a11,
     author = {D. K. Andreichenko and K. P. Andreichenko and D. V. Melnichuk and M. S. Portenko},
     title = {Adaptive algorithm of parametric synthesis of hybrid dynamical systems},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {465--475},
     publisher = {mathdoc},
     volume = {16},
     number = {4},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2016_16_4_a11/}
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D. K. Andreichenko; K. P. Andreichenko; D. V. Melnichuk; M. S. Portenko. Adaptive algorithm of parametric synthesis of hybrid dynamical systems. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 16 (2016) no. 4, pp. 465-475. http://geodesic.mathdoc.fr/item/ISU_2016_16_4_a11/