Attraction and Stability of Nonlinear Ode's using Continuous Piecewise Linear Approximations

Details Attraction and Stability of Nonlinear Ode's using Continuous Piecewise Linear Approximations Attraction and Stability of Nonlinear Ode's using Continuous Piecewise Linear Approximations

2010-04-08

arxiv.org/abs/1004.1328v1

Mathematics

Optimization and Control

This paper is part of a Phd thesis and has been sent to a journal for review.

Scientific paper

In this paper, several results concerning attraction and asymptotic stability in the large of nonlinear ordinary differential equations are presented. The main result is very simple to apply yielding a sufficient condition under which the equilibrium point (assuming a unique equilibrium) is attractive and also provides a variety of options among them the classical linearization and other existing results are special cases of the this main theorem in this paper including and extension of the well known Markus-Yamabe conjecture. Several application examples are presented in order to analyze the advantages and drawbacks of the proposed result and to compare such results with successful existing techniques for analysis available in the literature nowadays.

Affiliated with

Also associated with

No associations

Rating

Attraction and Stability of Nonlinear Ode's using Continuous Piecewise Linear Approximations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Attraction and Stability of Nonlinear Ode's using Continuous Piecewise Linear Approximations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Attraction and Stability of Nonlinear Ode's using Continuous Piecewise Linear Approximations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-713365