Zobrazeno 1 - 10
of 118
pro vyhledávání: '"Sergey Dashkovskiy"'
Autor:
Sergey Dashkovskiy, Arsen Narimanyan
Publikováno v:
Mathematical Modelling and Analysis, Vol 12, Iss 4 (2007)
The moving‐boundary methodology with Stefan‐ and Signorini‐type boundary conditions is used for the modelling of the thermal cutting of metals by a plasma beam. We model the problem as a coupled system of equations, the heat conduction equation
Externí odkaz:
https://doaj.org/article/bd1fee2c904640bb89cd904dad516728
Publikováno v:
International Journal of Robust and Nonlinear Control. 33:2902-2912
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f3a74a93f587aad8e5c022ebb36c3a83
https://doi.org/10.1002/rnc.6541
https://doi.org/10.1002/rnc.6541
Publikováno v:
IFAC-PapersOnLine. 55:272-277
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::fbe3e50e8dc44ec5d3b5a7b09578f628
https://doi.org/10.1016/j.ifacol.2022.11.064
https://doi.org/10.1016/j.ifacol.2022.11.064
Publikováno v:
Mathematical Problems in Engineering, Vol 2021 (2021)
In this paper, we develop a general approach to investigate limit dynamics of infinite-dimensional dissipative impulsive systems whose initial conditions do not uniquely determine their long time behavior. Based on the notion of an uniform attractor,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c65c2f8b9c7d72f49929dd316958f89f
https://doi.org/10.1155/2021/7385450
https://doi.org/10.1155/2021/7385450
Publikováno v:
Mathematics of Control, Signals, and Systems. 32:309-326
We establish the local input-to-state stability of a large class of disturbed nonlinear reaction–diffusion equations w.r.t. the global attractor of the respective undisturbed system.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::13342f5f61fe8427d49c70a730acb42b
https://doi.org/10.1007/s00498-020-00256-w
https://doi.org/10.1007/s00498-020-00256-w
Publikováno v:
IFAC-PapersOnLine. 53:3186-3191
We establish local input-to-state stability and asymptotic gain results for a class of nonlinear infinite-dimensional systems with respect to the global attractor of the respective undisturbed system. We apply our results to a large class of reaction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0fe855d1bbdb10162689e7a955a11d7d
https://doi.org/10.1016/j.ifacol.2020.12.2536
https://doi.org/10.1016/j.ifacol.2020.12.2536
Autor:
Sergey Dashkovskiy, Vitalii Slyn'ko
Publikováno v:
IFAC-PapersOnLine. 53:3174-3179
We consider a linear non-autonomous ODE with an input signal, which is a solution of a linear non-autonomous parabolic PDE for which the solution of the ODE enters as an input. Moreover there are external disturbances entering through the boundary co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a821528c91b5ac534476d51a4a2bba29
https://doi.org/10.1016/j.ifacol.2020.12.1069
https://doi.org/10.1016/j.ifacol.2020.12.1069
Publikováno v:
IFAC-PapersOnLine. 53:3180-3185
In this paper we investigate stability of uniformly attracting sets for semiflows generated by impulsive infinite-dimensional dynamical systems without uniqueness. Obtained abstract results are applied to weakly nonlinear parabolic system, whose traj
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9bb98c8dfae63ae26519049b791b7554
https://doi.org/10.1016/j.ifacol.2020.12.2534
https://doi.org/10.1016/j.ifacol.2020.12.2534
Autor:
Vitalii Slyn'ko, Sergey Dashkovskiy
Publikováno v:
IFAC-PapersOnLine. 53:3168-3173
In this work we consider a nonlinear wave equation subject to both distributed as well as boundary perturbations and derive several ISS-like estimates for solutions for such equations by means of Lyaponov and Faedo-Galerkin methods. Depending on the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3adf946ae7e3be80b22f4e5b9dd2e5d4
https://doi.org/10.1016/j.ifacol.2020.12.1067
https://doi.org/10.1016/j.ifacol.2020.12.1067
Autor:
Vitalii Slyn'ko, Sergey Dashkovskiy
In this work, we consider impulsive dynamical systems evolving on an infinite-dimensional space and subjected to external perturbations. We look for stability conditions that guarantee the input-to-state stability for such systems. Our new dwell-time
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e0600183ed3c492f2c3ce6258154aea3
https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-268390
https://nbn-resolving.org/urn:nbn:de:bvb:20-opus-268390
