Stability of Uniformly Attracting Sets for Impulsive-Perturbed Multi-Valued Semiflows
| Autor: | Sergey Dashkovskiy, Oleksiy V. Kapustyan, Yuriy Perestyuk |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Surface (mathematics)
0209 industrial biotechnology Dynamical systems theory 020208 electrical & electronic engineering Mathematical analysis 02 engineering and technology Stability (probability) Multi valued Nonlinear system 020901 industrial engineering & automation Intersection Control and Systems Engineering Phase space 0202 electrical engineering electronic engineering information engineering Uniqueness Mathematics |
| Zdroj: | IFAC-PapersOnLine. 53:3180-3185 |
| ISSN: | 2405-8963 |
| Popis: | 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 trajectories have jumps at moments of intersection with certain surface in the phase space. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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