The existence of limit cycle for perturbed bilinear systems

Hanen Damak; Mohamed Ali Hammami; Yeong-Jeu Sun

Displaying similar documents to “The existence of limit cycle for perturbed bilinear systems”

A sample-time adjusted feedback for robust bounded output stabilization

Patricio Ordaz, Hussain Alazki, Alexander Poznyak (2013)

Kybernetika

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This paper deals with a bounded control design for a class of nonlinear systems where the mathematical model may be not explicitly given. This class of uncertain nonlinear systems governed by a system of ODE with quasi-Lipschitz right-hand side and containing external perturbations as well. The Attractive Ellipsoid Method (AEM) application permits to describe the class of nonlinear feedbacks (containing a nonlinear projection operator, a linear state estimator and a feedback matrix-gain)...

On the number of abelian groups of a given order (supplement)

Hong-Quan Liu (1993)

Acta Arithmetica

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1. Introduction. The aim of this paper is to supply a still better result for the problem considered in [2]. Let A(x) denote the number of distinct abelian groups (up to isomorphism) of orders not exceeding x. We shall prove Theorem 1. For any ε > 0, $A (x) = C ₁ x + C ₂ x^{1 / 2} + C ₃ x^{1 / 3} + O (x^{50 / 199 + ε})$ , where C₁, C₂ and C₃ are constants given on page 261 of [2]. Note that 50/199=0.25125..., thus improving our previous exponent 40/159=0.25157... obtained in [2]. To prove Theorem 1, we shall proceed along the line of approach presented...

Ramanujan's class invariants and cubic continued fraction

Bruce C. Berndt, Heng Huat Chan, Liang-Cheng Zhang (1995)

Acta Arithmetica

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Nonlinear stationary surface waves above an underwater ridge.

Kuznetsov, D.S. (2002)

Sibirskij Matematicheskij Zhurnal

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Uniformly accurate quantile bounds via the truncated moment generating function: the symmetric case.

Klass, Michael J., Nowicki, Krzysztof (2007)

Electronic Journal of Probability [electronic only]

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Attitude observer-based robust control for a twin rotor system

Oscar Salas, Herman Castañeda, Jesús De León-Morales (2013)

Kybernetika

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In this paper, an angular tracking control based on adaptive super twisting algorithm (ASTA) for a Twin Rotor System is presented. With the aim of implementing the ASTA control and taking into consideration the difficulties of measuring some of its states, a Nonlinear Extended State Observer (NESO) is employed to estimate the vector state and furthermore unmeasured dynamics. This scheme increases robustness against unmodeled dynamics and external disturbance, reducing modeling difficulties...