Next Article in Journal
Lie Symmetries of (1+2) Nonautonomous Evolution Equations in Financial Mathematics
Previous Article in Journal
On the Dimension of Algebraic-Geometric Trace Codes
Article Menu

Export Article

Open AccessArticle
Mathematics 2016, 4(2), 33; doi:10.3390/math4020033

Chaos Control in Three Dimensional Cancer Model by State Space Exact Linearization Based on Lie Algebra

Nizwa College of Applied Sciences, Ministry of Higher Education, Nizwa 611, Oman
Academic Editor: J. Alberto Conejero
Received: 23 December 2015 / Revised: 2 May 2016 / Accepted: 4 May 2016 / Published: 10 May 2016
View Full-Text   |   Download PDF [2435 KB, uploaded 10 May 2016]   |  

Abstract

This study deals with the control of chaotic dynamics of tumor cells, healthy host cells, and effector immune cells in a chaotic Three Dimensional Cancer Model (TDCM) by State Space Exact Linearization (SSEL) technique based on Lie algebra. A non-linear feedback control law is designed which induces a coordinate transformation thereby changing the original chaotic TDCM system into a controlled one linear system. Numerical simulation has been carried using Mathematica that witness the robustness of the technique implemented on the chosen chaotic system. View Full-Text
Keywords: SSEL; Lie bracket; Lie derivative; nonlinear feedback; TDCM SSEL; Lie bracket; Lie derivative; nonlinear feedback; TDCM
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

Shahzad, M. Chaos Control in Three Dimensional Cancer Model by State Space Exact Linearization Based on Lie Algebra. Mathematics 2016, 4, 33.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Mathematics EISSN 2227-7390 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top