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

## Abstract

**:**

## 1. Introduction

## 2. State Space Exact Linearization

## 3. Problem Formulation

## 4. Control of the Chaotic System

**Lemma 1.**

**Proof**.

**Lemma 2.**

**Proof.**

**Theorem 1 [8].**

**Theorem 2 [8].**

_{3}goes to the goal x

_{g}, the state vector x goes to ${\overrightarrow{x}}_{g1}={\left(\begin{array}{ccc}18.87& -17.87+2.5{x}_{g}& {x}_{g}\end{array}\right)}^{T}$ or ${\overrightarrow{x}}_{g2}={\left(\begin{array}{ccc}0.13& 0.87+2.5{x}_{g}& {x}_{g}\end{array}\right)}^{T}$.

## 5. Numerical Simulations

## 6. Conclusions

## Conflicts of Interest

## References

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**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.
https://doi.org/10.3390/math4020033

**AMA Style**

Shahzad M. Chaos Control in Three Dimensional Cancer Model by State Space Exact Linearization Based on Lie Algebra. *Mathematics*. 2016; 4(2):33.
https://doi.org/10.3390/math4020033

**Chicago/Turabian Style**

Shahzad, Mohammad. 2016. "Chaos Control in Three Dimensional Cancer Model by State Space Exact Linearization Based on Lie Algebra" *Mathematics* 4, no. 2: 33.
https://doi.org/10.3390/math4020033