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

Jerzy Baranowski, Marta Zagorowska, Waldemar Bauer, Tomasz Dziwinski, Pawel Piatek

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


Keywords


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

Full Text: PDF

Refbacks

  • There are currently no refbacks.


Print ISSN: 1392-1215
Online ISSN: 2029-5731