On the Stability and Robustness of Stuart-Landau Oscillators∗∗This article is supported by Government of Russian Federation (grant 074-U01)
| Autor: | Antonio Loria, Elena Panteley, Ali El Ati |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
0209 industrial biotechnology
Complex system Stability (learning theory) 02 engineering and technology 01 natural sciences Variety (cybernetics) Nonlinear system 020901 industrial engineering & automation Control and Systems Engineering Control theory Stability theory Limit cycle 0103 physical sciences Statistical physics 010306 general physics Robustness (economics) Bifurcation Mathematics |
| Zdroj: | IFAC-PapersOnLine. 48:645-650 |
| ISSN: | 2405-8963 |
| DOI: | 10.1016/j.ifacol.2015.09.260 |
| Popis: | The study of oscillations, from a dynamical-systems-theory viewpoint is a subject of interest in a variety of research domains ranging from physical sciences to engineering. One of the main motivations to study the behaviour of solutions of these complex systems lies in their role in modelling of collective behaviour, such as synchrony, which appears naturally in some biological systems but also in technological creations such as power grids. In particular, Stuart-Landau oscillators are used to model the so-called Andronov bifurcation, from oue equilibrium to a limit cycle. In this paper, we employ modern tools of stability theory to analyse the behaviour of solutions of Stuart-Landau forced and unforced oscillators. We establish suffcient conditions for global asymptotic and input-to-state stability with respect to sets. |
| Databáze: | OpenAIRE |
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