On simplifying and classifying piecewise-linear systems

By V. Carmona, Emilio Freire, Enrique Ponce, Francisco Torres. 2002

114 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a5b7426d3d55b3f3d5032b9f3e135fb1b7b3db15

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computer Networks and Communications

1. Mario di Bernardo

In Statistical and Nonlinear Physics

1. Mario di Bernardo
2. Jaume Llibre
3. Piotr Kowalczyk
4. Enrique Ponce
5. Chris J. Budd
6. Xiang Zhang
7. Maoan Han
8. Douglas Duarte Novaes

Citations in the corpus

• On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry (2013, background): “In most of interesting applications, piecewise linear differential systems have two or three different linearity regions separated by parallel straight lines, see [2].”
• Bifurcations in Nonsmooth Dynamical Systems (2008, background): “It is typically often possible to find a similarity transformation that puts the system in general observer canonical form [33, 18], where the matrices A1 and A2 have their last columns equal to the vector (0 1) , and where C = (1 0).”