Applications of Direct Lyapunov Method in Caputo Non-Integer Order Systems

Authors

  • Jerzy Baranowski AGH University of Science and Technology
  • Marta Zagorowska AGH University of Science and Technology
  • Waldemar Bauer AGH University of Science and Technology
  • Tomasz Dziwinski AGH University of Science and Technology
  • Pawel Piatek AGH University of Science and Technology

DOI:

https://doi.org/10.5755/j01.eee.21.2.11505

Keywords:

Command and control systems, stability, stability criteria, Lyapunov methods, fractional calculus.

Abstract

Paper presents certain properties of Lyapunov direct method for non-integer order systems. Mittag-Leffler stability is defined and its relationship with Lyapunov stability is investigated. General results for Lyapunov functions are presented and a new result allowing constructive stability analysis is proved. Results are illustrated with the examples of stability analysis for problem of cooling, chemical reaction evolution and parametric stability analysis.

DOI: http://dx.doi.org/10.5755/j01.eee.21.2.11505

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Published

2015-04-09

Issue

Vol. 21 No. 2 (2015)

Section

AUTOMATION, ROBOTICS

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By virtue of their appearance in this open access journal, papers are free to use with proper attribution in educational and other non-commercial settings with an acknowledgement of the initial publication in the journal.

How to Cite

Applications of Direct Lyapunov Method in Caputo Non-Integer Order Systems. (2015). Elektronika Ir Elektrotechnika, 21(2), 10-13. https://doi.org/10.5755/j01.eee.21.2.11505