Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems
By R. Stanisławski, Krzysztof J. Latawiec. 2013
65 citations recorded by the source corpus.
. This paper presents a series of new results on the asymptotic stability of discrete-time fractional difference (FD) state space systems and their finite-memory approximations called finite FD (FFD) and normalized FFD (NFFD) systems. In Part I of the paper, new necessary and sufficient stability conditions have been given in a unified form for FD, FFD and NFFD-based systems. Part II offers a new, simple, ultimate stability criterion for FD-based systems. This gives rise to the introduction of new definitions of the so-called f -poles and f -zeros for FD-based systems, which are used in the closed-loop stability analysis for FD-based systems and, approximately, for FFD/NFFD-based ones.
Subfields: Artificial Intelligence, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/00aaaba620dda09957676c7bfdebf5f91eb777e4
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In Artificial Intelligence
In Control and Systems Engineering
Citations in the corpus
- The -Transform Method and Delta Type Fractional Difference Operators (2015, background): “In the case of the Grünwald-Letnikov-type fractional operator our results are similar to those in [11, 13, 14].”