Title :
On diffeomorphisms defined by some 2D nonlinear operators and their application to stability and sensitivity analysis
Author :
Monika Bartkiewicz;Andrzej Skowron;Stanisław Walczak
Author_Institution :
Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, Poland
Abstract :
In the paper we prove sufficient conditions for some two-dimensional operator to be a diffeomorphism between the space of absolutely continuous functions of two variables and the space of square integrable functions. This means that 2D system defined by the operator is stable and robust.
Keywords :
"Robustness","Linear systems","Stability analysis","Hilbert space","Convergence","Computer science"
Conference_Titel :
Methods and Models in Automation and Robotics (MMAR), 2015 20th International Conference on
DOI :
10.1109/MMAR.2015.7284012
