Piecewise bounded quadratic systems in the plane
In this paper we study the sliding mode of piecewise bounded quadratic systems in the plane given by a non-smooth vector field Z = (X, Y ). Analyzing the singular, crossing and sliding sets, we get the conditions which ensure that any solution, including the sliding one, is bounded.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150697 |
| Acceso en línea: | https://ddd.uab.cat/record/150697 https://dx.doi.org/urn:doi:10.1007/s12591-014-0205-y |
| Access Level: | acceso abierto |
| Palabra clave: | Bounded quadratic systems Non-smooth dynamical systems Phase portrait Quadratic systems Sliding vector fields |
| Sumario: | In this paper we study the sliding mode of piecewise bounded quadratic systems in the plane given by a non-smooth vector field Z = (X, Y ). Analyzing the singular, crossing and sliding sets, we get the conditions which ensure that any solution, including the sliding one, is bounded. |
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