Stability of Discrete Fractional Order State-space Systems

By Andrzej Dzielinski, Dominik Sierociuk. 2008

171 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/6f6907dac0d06afab4e5cff8c4c2a91e2fbcfef0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Dorota Mozyrska
2. Malgorzata Wyrwas
3. R. Stanisławski
4. Krzysztof J. Latawiec
5. Andrzej Ruszewski
6. Mikolaj Buslowicz
7. M. Łukaniszyn

In Modeling and Simulation

1. Malgorzata Wyrwas
2. Dorota Mozyrska
3. R. Stanisławski
4. Krzysztof J. Latawiec
5. Andrzej Ruszewski
6. Mikolaj Buslowicz
7. M. Łukaniszyn

In Numerical Analysis

1. R. Stanisławski
2. Krzysztof J. Latawiec
3. Dorota Mozyrska
4. Andrzej Ruszewski
5. Mikolaj Buslowicz
6. M. Łukaniszyn
7. Malgorzata Wyrwas

Citations in the corpus

• A Comparative Analysis of Laguerre-Based Approximators to the Grünwald-Letnikov Fractional-Order Difference (2015, methodology): “The FFD has been analyzed in some papers under the heading of a practical implementation of FD [26–28], or a truncated/finite difference [21, 23, 29], or a short-memory difference [30].”
• Stability of Fractional-Order Systems with Rational Orders (2008, unknown): “The results presented in this article are also applicable in robust stability investigation [24, 47–49], stability of delayed system [15, 22] and stability of discrete fractional order system [20, 37].”
• Necessary and sufficient conditions for stability of fractional discrete-time linear state-space systems (2013, background): “(31) The sufficient condition similar to (31) has been given in [19].”
• The -Transform Method and Delta Type Fractional Difference Operators (2015, methodology): “There aremany papers, in which the authors usually involve in discrete case the GrünwaldLetnikov-type fractional operator, see, for example, [2, 6–14] for case h = 1 and also for general case h > 0.”
• Stability analysis for discrete-time fractional-order LTI state-space systems. Part II: New stability criterion for FD-based systems (2013, background): “Those stability testing results, essentially outperforming previous contributions [6, 7, 11, 12], in terms of conceptual simplicity and lower computational burden, have provided a firm basis for the introduction in Part II of a new stability criterion for FD-based systems.”
• Stability analysis for discrete-time fractional-order LTI state-space systems. Part I: New necessary and sufficient conditions for the asymptotic stability (2013, background): “For the FFD-based system, the result of Theorem 2 is similar to those of [10] and [15].”