Piecewise Bounded Quadratic Systems in the Plane

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2014

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Resumo

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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Quadratic systems, non-smooth dynamical systems

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Differential Equations and Dynamical Systems, v. on lin, p. 1-12, 2014.