Stability of Fractional-Order Systems with Rational Orders
Ivo Petras
TL;DR
This paper investigates the stability of fractional-order systems with rational orders, analyzing conditions in both time and frequency domains, and providing illustrative examples to demonstrate the results.
Contribution
It introduces stability criteria for fractional-order systems with rational orders, expanding understanding beyond integer-order systems.
Findings
Derived general stability conditions for fractional-order systems
Analyzed stability in both time and frequency domains
Provided illustrative examples demonstrating stability criteria
Abstract
This paper deals with stability of a certain class of fractional order linear and nonlinear systems. The stability is investigated in the time domain and the frequency domain. The general stability conditions and several illustrative examples are presented as well.
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Taxonomy
TopicsAdvanced Control Systems Design · Fractional Differential Equations Solutions · Numerical methods for differential equations