Open AccessAlgebraic conditions for monotonicity of magnitude‐frequency responses in all‐pole fractional order systems
Author(s) -
Tavazoei Mohammad Saleh
Publication year - 2014
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2013.0999
Subject(s) - monotonic function , magnitude (astronomy) , control theory (sociology) , mathematics , algebraic number , order (exchange) , mathematical analysis , computer science , physics , control (management) , artificial intelligence , finance , astronomy , economics
This study deals with the investigation of the magnitude‐frequency responses of all‐pole fractional order systems in the viewpoint of extrema existence in these responses. In this investigation, a sufficient algebraic condition, two necessary algebraic conditions, and a necessary and sufficient algebraic condition are obtained to guarantee the non‐existence of extrema in the magnitude‐frequency response of all‐pole fractional order systems. Some examples are presented to show the effectiveness of the results of the paper.