Cart (Loading....) | Create Account
Close category search window

Stability and bifurcation analysis of differential-difference-algebraic equations

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Luonan Chen ; Dept. of Electr. Eng. & Electron., Osaka Sangyo Univ., Daito, Japan ; Aihara, K.

This paper treats a nonlinear dynamical system with both continuous-time and discrete-time variables as a differential-difference-algebraic equation (DDA) or a hybrid dynamical system, presents a fundamental analyzing method of such a DDA system for local sampling, asymptotical stability, singular perturbations and bifurcations, and further shows that there exist four types of generic codimension-one bifurcations at the equilibria in contrast to two types in continuous-time dynamical systems and three types in discrete-time dynamical systems. Finally the theoretical results are applied to digital control of power systems as an example. Numerical simulations demonstrate that our results are useful

Published in:

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on  (Volume:48 ,  Issue: 3 )

Date of Publication:

Mar 2001

Need Help?

IEEE Advancing Technology for Humanity About IEEE Xplore | Contact | Help | Terms of Use | Nondiscrimination Policy | Site Map | Privacy & Opting Out of Cookies

A not-for-profit organization, IEEE is the world's largest professional association for the advancement of technology.
© Copyright 2014 IEEE - All rights reserved. Use of this web site signifies your agreement to the terms and conditions.