Proceedings ArticleDOI
Stabilization of singular fractional-order systems: An LMI approach
Ibrahima N'Doye,Michel Zasadzinski,Mohamed Darouach,Nour-Eddine Radhy +3 more
- pp 209-213
TLDR
In this article, the asymptotic stabilization problem of linear singular fractional-order systems is studied in terms of linear matrix inequalities, which are derived using the decomposition on the matrices of the original system.Abstract:
This paper presents the asymptotical stabilization problem of linear singular fractional-order systems. The results are obtained in terms of linear matrix inequalities, which are derived using the decomposition on the matrices of the original system. An illustrative example is provided to illustrate the proposed results.read more
Citations
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Journal ArticleDOI
Robust stabilization of uncertain descriptor fractional-order systems
TL;DR: This paper presents sufficient conditions for the robust asymptotical stabilization of uncertain descriptor fractional-order systems with the fractional order @a satisfying 0<@a<2 and the results are obtained in terms of linear matrix inequalities.
Journal ArticleDOI
The output feedback control synthesis for a class of singular fractional order systems
TL;DR: This paper investigates the output feedback normalization and stabilization for singular fractional order systems with the fractional commensurate order α belonging to (0,2) via linear matrix inequality (LMI) formulation.
Journal ArticleDOI
Stabilization of fractional-order singular uncertain systems.
Yude Ji,Yude Ji,Jiqing Qiu +2 more
TL;DR: The objective is to design suitable feedback controllers that guarantee the stability of resulting closed-loop control systems that are based on the matrix׳s singular value decomposition (SVD) and linear matrix inequality (LMI) technics.
Journal ArticleDOI
New admissibility conditions for singular linear continuous-time fractional-order systems
TL;DR: A static output feedback controller is designed for the closed-loop system to be admissible, based on new admissibility conditions of singular fractional-order systems expressed in a set of strict Linear Matrix Inequalities.
Journal ArticleDOI
Sufficient and necessary conditions for stabilizing singular fractional order systems with partially measurable state
TL;DR: A sufficient and necessary condition for output feedback control is proposed by adopting matrix variable decoupling technique, which is more general and efficient than the existing works, especially for the output feedback case.
References
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Book
Applications Of Fractional Calculus In Physics
TL;DR: An introduction to fractional calculus can be found in this paper, where Butzer et al. present a discussion of fractional fractional derivatives, derivatives and fractal time series.
Book
The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order
Keith B. Oldham,Jerome Spanier +1 more
TL;DR: In the beginning, when having significantly cash, why don't you attempt to acquire something basic in the beginning? That's something that will guide you to understand even more in the region of the globe, experience, some places, history, amusement, and a lot more as discussed by the authors.
Book
Singular Control Systems
TL;DR: This paper presents a meta-analyses of linear singular systems through system analysis via transfer matrix and feedback control of dynamic compensation for singular systems.
Proceedings Article
Stability results for fractional differential equations with applications to control processing
TL;DR: In this article, stability results for finite-dimensional linear fractional differential systems in state-space form are given for both internal and external stability, and the main qualitative result is that stabilities are guaranteed iff the roots of some polynomial lie outside the closed angular sector.
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