Stability analysis of a discrete-time system with a variable-, fractional-order controller

DOI10.2478/v10175-010-0063-xzbMath1219.93100OpenAlexW2020311721MaRDI QIDQ554330

Piotr Ostalczyk

Publication date: 3 August 2011

Published in: Bulletin of the Polish Academy of Sciences. Technical Sciences (Search for Journal in Brave)

Full work available at URL: http://bulletin.pan.pl/(58-4)613.html

zbMATH Keywords

stabilityfractional calculusdiscrete-time controller

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Discrete-time control/observation systems (93C55) Linear systems in control theory (93C05)

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Cites Work

• Fundamental properties of the fractional-order discrete-time integrator
• The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• The non-integer difference of the discrete-time function and its application to the control system synthesis
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