Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:A2L-A
Session:
Number:A2L-A5
A new software for stability and bifurcation analysis of switched dynamical systems
K. Mandal, A. Abusorrah, M. M. Al-Hindawi, Y. Al-Turki, S. Banerjee,
pp.108-111
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
In this paper, we introduce a new matlab-based program for numerical analysis of switched dynamical systems. The program provides a graphical user interface (gui) that allows the users to enter the system description in terms of the symbolic ordinary differential equations for each subsystem, along with the information about the switching surfaces. Using this program, one can locate the periodic orbits (stable as well as unstable) and can calculate their eigenvalues. The algorithm calculates the fundamental solution matrix using exponential matrices for evolution within the subsystems, and the saltation matrices for transition across subsystems through switching conditions. The tool is verified using several hybrid dynamical systems.