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Linearization of Fractional Nonlinear Systems by State-Feedbacks

  • Tadeusz KaczorekEmail author
Conference paper
  • 81 Downloads
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 1140)

Abstract

Using the conformable fractional derivative the notions of Lie derivative and full relative degree are extended to the fractional nonlinear systems. The canonical form of the fractional nonlinear systems is introduced and sufficient conditions for the existence of the canonical form for the systems are established. A method for finding nonlinear state-feedbacks linearizing the fractional nonlinear system is proposed.

Keywords

Fractional Nonlinear System Lie derivative Linearization State-feedback 

Notes

Acknowledgment

This work was supported by National Science Centre in Poland under work No. 2017/27/B/ST7/02443.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Bialystok University of TechnologyBialystokPoland

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