Stability of Fractional Order Switching Systems
S. Hassan HosseinNia, In\'es Tejado, Blas M. Vinagre
TL;DR
This paper extends stability analysis methods to fractional order switching systems, proposing a generalized Lyapunov approach and frequency domain criteria, with examples demonstrating its effectiveness.
Contribution
It introduces a generalized Lyapunov method and frequency domain stability criteria specifically for fractional order switching systems, enhancing existing stability analysis techniques.
Findings
Proposed a generalized Lyapunov method for fractional systems.
Established frequency domain stability criteria.
Validated the approach with practical examples.
Abstract
This paper addresses the stabilization issue for fractional order switching systems. Common Lyapunov method is generalized for fractional order systems and frequency domain stability equivalent to this method is proposed to prove the quadratic stability. Some examples are given to show the applicability and effectiveness of the proposed theory.
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Taxonomy
TopicsStability and Control of Uncertain Systems · Advanced Control Systems Design · Neural Networks Stability and Synchronization