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Pàgina inicial > Articles > Articles publicats > Piecewise bounded quadratic systems in the plane |
Data: | 2014 |
Resum: | 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. |
Ajuts: | Ministerio de Ciencia e Innovación MTM 2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410 European Commission 316338 European Commission 318999 |
Nota: | Agraïments: The second author is supported by CAPES, the third author is partially supported by CNPq, FAPESP and FP7-PEOPLE-2012-IRSES 318999. All authors are partially supported by the project PHB 2009-0025-PC. |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió acceptada per publicar |
Matèria: | Bounded quadratic systems ; Non-smooth dynamical systems ; Phase portrait ; Quadratic systems ; Sliding vector fields |
Publicat a: | Differential Equations and Dynamical Systems, 2014 , ISSN 0974-6870 |
Postprint 12 p, 370.0 KB |