Title :
On rigorous integration of piece-wise linear continuous systems
Author :
Galias, Zbigniew
Author_Institution :
Dept. of Electr. Eng., AGH Univ. of Sci. & Technol., Kraków, Poland
Abstract :
We show how to rigorously integrate piece-wise linear systems in regions containing trajectories tangent to hyperplanes separating the linear regions. The method is applied to compute enclosures of solutions for the Chua´s circuit with parameter values where the attractor contains such trajectories.
Keywords :
Chua´s circuit; continuous systems; linear systems; piecewise linear techniques; Chua´s circuit; hyperplanes; linear region; piecewise linear continuous system; rigorous integration; trajectory intersection; Chaos; Computers; Equations; Linear systems; Trajectory; Vectors;
Conference_Titel :
Circuits and Systems (ISCAS), 2011 IEEE International Symposium on
Conference_Location :
Rio de Janeiro
Print_ISBN :
978-1-4244-9473-6
Electronic_ISBN :
0271-4302
DOI :
10.1109/ISCAS.2011.5937819
