Stability analysis of interconnected discrete-time fractional-order LTI state-space systems

DOI10.34768/amcs-2020-0048zbMath1470.93119OpenAlexW3119819631MaRDI QIDQ2023571

Damian Trofimowicz, Łukasz Grzymkowski, Tomasz P. Stefański

Publication date: 3 May 2021

Published in: International Journal of Applied Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://content.sciendo.com/view/journals/amcs/30/4/article-p649.xml

zbMATH Keywords

stability analysisdiscrete-time systemsfractional-order systems

Mathematics Subject Classification ID

Discrete-time control/observation systems (93C55) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Fractional derivatives and integrals (26A33) Control/observation systems governed by ordinary differential equations (93C15)

Related Items (1)

Modelling and simulations in time-fractional electrodynamics based on control engineering methods

Uses Software

• Matlab
• GitHub
• GRPF

Cites Work

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• Application of the Drazin inverse to the analysis of pointwise completeness and pointwise degeneracy of descriptor fractional linear continuous-time systems
• Frequency response based curve fitting approximation of fractional-order PID controllers
• Equivalent descriptions of a discrete-time fractional-order linear system and its stability domains
• Simple Conditions for Practical Stability of Positive Fractional Discrete-Time Linear Systems
• The Argument Principle for Harmonic Functions
• Overview of Fractional h-difference Operators
• A Discrete-Time Fractional Order PI Controller for a Three Phase Synchronous Motor Using an Optimal Loop Shaping Approach
• A Numerical Method for Locating the Zeros of an Analytic Function

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