Piecewise Bounded Quadratic Systems in the Plane

External sources

http://link.springer.com/article/10.1007%2Fs12591-014-0205-y

External sources

http://link.springer.com/article/10.1007%2Fs12591-014-0205-y

Date

Authors

Silva, Clayton Eduardo Lente da

Silva, Paulo Ricardo da

Type

Article

Access right

Acesso restrito

External sources

http://link.springer.com/article/10.1007%2Fs12591-014-0205-y

External sources

http://link.springer.com/article/10.1007%2Fs12591-014-0205-y

Abstract

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.

Keywords

Quadratic systems, non-smooth dynamical systems

Language

English

Citation

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

URI

http://hdl.handle.net/11449/122802

Collections

São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas

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http://link.springer.com/article/10.1007%2Fs12591-014-0205-y