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 
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/
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     title = {Adaptive algorithm of parametric synthesis of hybrid dynamical systems},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Andreichenko D. K., Andreichenko K. P., “On the theory of hybrid dynamical systems”, Journal of Computer and Systems Sciences International, 39:3 (2000), 383–398

[2] Andreichenko D. K., Andreichenko K. P., Modeling, analysis and synthesis of combined dynamical systems, Tutorial, Rait-Ekspo Publ., Saratov, 2013, 144 pp. (in Russian)

[3] Portenko M. S., Melnichuk D. V., Andreichenko D. K., “Analyticity conditions of characteristic and disturbing quasipolynomials of hybrid dynamical systems”, Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 16:2 (2016), 208–217 (in Russian) | DOI | MR | Zbl

[4] Andreichenko D. K., Eroftiev A. A., Melnichuk D. V., “Parallelization of parametric synthesis by “problems portfolio” scheme based on MPI technology”, Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 15:2 (2015), 222–228 (in Russian) | DOI

[5] Andreichenko D. K., Andreichenko K. P., Kononov V. V., “Parallel algorithm of optimal parameters calculation for the single channel angular stabilization system”, Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 13:4/1 (2013), 109–117 (in Russian)

[6] Andreichenko D. K., Andreichenko K. P., Komarova M. S., “Parameter Selection and Dynamic Analysis of Gas Jet Stabilization Systems with Elastic Rods”, Journal of Computer and Systems Sciences International, 51:4 (2012), 573–586 | DOI | MR | Zbl

[7] Nayfeh A. H., Perturbation methods, Wiley, New York, 1973, 425 pp. | MR | Zbl