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Ibrahima N'Doye

Bio: Ibrahima N'Doye is an academic researcher from King Abdullah University of Science and Technology. The author has contributed to research in topics: Nonlinear system & Observer (quantum physics). The author has an hindex of 12, co-authored 58 publications receiving 587 citations. Previous affiliations of Ibrahima N'Doye include University of Luxembourg & École Normale Supérieure.


Papers
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Journal ArticleDOI
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.

139 citations

Journal ArticleDOI
TL;DR: Fractional-order direct Lyapunov theorem is used to derive the closed-loop asymptotic stability and the gains of the observer and observer-based controller are obtained in terms of linear matrix inequalities (LMIs) formulation.
Abstract: This paper presents a method based on the state observer design for constructing a chaotically synchronized systems. Fractional-order direct Lyapunov theorem is used to derive the closed-loop asymptotic stability. The gains of the observer and observer-based controller are obtained in terms of linear matrix inequalities (LMIs) formulation. The proposed approach is then applied to secure communications. The method combines chaotic masking and chaotic modulation, where the information signal is injected into the transmitter and simultaneously transmitted to the receiver. Chaotic synchronization and chaotic communication are achieved simultaneously via a state observer design technique. The fractional-order chaotic Lorenz and Lu systems are given to demonstrate the applicability of the proposed approach.

64 citations

Journal ArticleDOI
TL;DR: It is shown that the fractional-order observers are as stable as their integer order counterpart and guarantee better convergence of the estimation error.
Abstract: This paper considers a method of designing fractional-order observers for continuous-time linear fractional-order systems with unknown inputs. Conditions for the existence of these observers are given. Sufficient conditions for the asymptotical stability of fractional-order observer errors with the fractional order α satisfying 0 < α < 2 are derived in terms of linear matrix inequalities. Two numerical examples are given to demonstrate the applicability of the proposed approach, where the fractional order α belongs to 1źα<2 and 0<αź1, respectively. A stability analysis of the fractional-order error system is made and it is shown that the fractional-order observers are as stable as their integer order counterpart and guarantee better convergence of the estimation error.

63 citations

Proceedings ArticleDOI
01 Dec 2009
TL;DR: A generalization of Gronwall-Bellman which is proved in the appendix is used to derive the closed-loop asymptotic stability of fractional-order systems using an observer-based control law.
Abstract: In this paper, we study the asymptotic stabilization of fractional-order systems using an observer-based control law. The fractional-order systems under consideration are either linear or nonlinear and affine. A generalization of Gronwall-Bellman which is proved in the appendix is used to derive the closed-loop asymptotic stability.

39 citations

Journal ArticleDOI
TL;DR: In this article, an adaptive observer is proposed for the joint estimation of states and parameters of a fractional nonlinear system with external perturbations, and the convergence of the proposed observer is derived in terms of linear matrix inequalities LMIs by using an indirect Lyapunov method.
Abstract: In this paper, an adaptive observer is proposed for the joint estimation of states and parameters of a fractional nonlinear system with external perturbations. The convergence of the proposed observer is derived in terms of linear matrix inequalities LMIs by using an indirect Lyapunov method.The proposed i¾ź∞ adaptive observer is also robust against Lipschitz additive nonlinear uncertainty. The performance of the observer is illustrated through some examples including the chaotic Lorenz and Lu's systems. Copyright © 2016 John Wiley & Sons, Ltd.

38 citations


Cited by
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Journal ArticleDOI

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08 Dec 2001-BMJ
TL;DR: There is, I think, something ethereal about i —the square root of minus one, which seems an odd beast at that time—an intruder hovering on the edge of reality.
Abstract: There is, I think, something ethereal about i —the square root of minus one. I remember first hearing about it at school. It seemed an odd beast at that time—an intruder hovering on the edge of reality. Usually familiarity dulls this sense of the bizarre, but in the case of i it was the reverse: over the years the sense of its surreal nature intensified. It seemed that it was impossible to write mathematics that described the real world in …

33,785 citations

Book ChapterDOI
01 Jan 2015

3,828 citations

01 Jan 2004
TL;DR: Comprehensive and up-to-date, this book includes essential topics that either reflect practical significance or are of theoretical importance and describes numerous important application areas such as image based rendering and digital libraries.
Abstract: From the Publisher: The accessible presentation of this book gives both a general view of the entire computer vision enterprise and also offers sufficient detail to be able to build useful applications. Users learn techniques that have proven to be useful by first-hand experience and a wide range of mathematical methods. A CD-ROM with every copy of the text contains source code for programming practice, color images, and illustrative movies. Comprehensive and up-to-date, this book includes essential topics that either reflect practical significance or are of theoretical importance. Topics are discussed in substantial and increasing depth. Application surveys describe numerous important application areas such as image based rendering and digital libraries. Many important algorithms broken down and illustrated in pseudo code. Appropriate for use by engineers as a comprehensive reference to the computer vision enterprise.

3,627 citations

Journal ArticleDOI
01 Jan 1976

660 citations

01 Jan 2016
TL;DR: In this paper, the authors describe how to download and install guidance and control of ocean vehicles in the house, workplace, or perhaps in your method can be all best place within net connections.
Abstract: By searching the title, publisher, or authors of guide you in reality want, you can discover them rapidly. In the house, workplace, or perhaps in your method can be all best place within net connections. If you objective to download and install the guidance and control of ocean vehicles, it is utterly easy then, past currently we extend the colleague to buy and make bargains to download and install guidance and control of ocean vehicles therefore simple!

611 citations