نتایج جستجو برای: control nonlinearity

تعداد نتایج: 1344443  

Journal: :Physical review. E, Statistical, nonlinear, and soft matter physics 2011
Qing Tian Lei Wu Jie-Fang Zhang Boris A Malomed D Mihalache W M Liu

We put forward a generic transformation which helps to find exact soliton solutions of the nonlinear Schrödinger equation with a spatiotemporal modulation of the nonlinearity and external potentials. As an example, we construct exact solitons for the defocusing nonlinearity and harmonic potential. When the soliton's eigenvalue is fixed, the number of exact solutions is determined by energy leve...

2009
Jui-sheng Lin Neng-Sheng Pai Her-Terng Yau Mohammad Younis

This study demonstrates the modified projective synchronization in Chen-Lee chaotic system. The variable structure control technology is used to design the synchronization controller with input nonlinearity. Based on Lyapunov stability theory, a nonlinear controller and some generic sufficient conditions can be obtained to guarantee the modified projective synchronization, including synchroniza...

Journal: :journal of advances in computer research 2015
alireza modirrousta hadi delavari

in this paper, a new robust controller based on geometric homogeneity and adaptive integral sliding mode is proposed for a class of second order systems. the upper bound of the system disturbances is not required. fully unknown parameters have been considered in the described model and its finite–time convergence to zero equilibrium point is proved. moreover, the controller is developed in the ...

Journal: :Automatica 2011
Min-Sung Koo Ho-Lim Choi Jong-Tae Lim

Over the past several years, triangular or feedforward nonlinear systems have received considerable attention and there are many independent results for stabilization or regulation problems. These results are often specifically targeted for only one of these systems and they are applicable when the system nonlinearity is known a priori. In this paper, we propose an adaptive output feedback cont...

2011
D. P. Atherton

This section is written to introduce the reader to nonlinearity and its effect in control systems, and also to ‘set the stage’ for the subsequent articles. Nonlinearity is first defined and then some of the physical effects which cause nonlinear behavior are discussed. This is followed by some comments on the stability of nonlinear systems, the existence of limit cycles, and the unique behavior...

Journal: :Optics express 2012
Christophe Baker Sebastian Stapfner David Parrain Sara Ducci Giuseppe Leo Eva M Weig Ivan Favero

We report time domain observations of optical instability in high Q silicon nitride whispering gallery disk resonators. At low laser power the transmitted optical power through the disk looks chaotic. At higher power, the optical output settles into a stable self-pulsing regime with periodicity ranging from hundreds of milliseconds to hundreds of seconds. This phenomenon is explained by the int...

Journal: :Physical review letters 2010
Ilya V Shadrivov Konstantin Y Bliokh Yuri P Bliokh Valentin Freilikher Yuri S Kivshar

We study wave transmission through one-dimensional random nonlinear structures and predict a novel effect resulting from an interplay of nonlinearity and disorder. We reveal that, while weak nonlinearity does not change the typical exponentially small transmission in the regime of the Anderson localization, it affects dramatically the disorder-induced localized states excited inside the medium ...

Journal: :Optics letters 2002
I R Gabitov P M Lushnikov

We propose using a nonlinear phase-shift interferometric converter (NPSIC), a new device, for lumped compensation for nonlinearity in optical fibers. The NPSIC is a nonlinear analog of the Mach-Zehnder interferometer and provides a way to control the sign of the nonlinear phase shift. We investigate a potential use of the NPSIC for compensation for nonlinearity to develop a dispersion-managed s...

In this paper, under the existence of system uncertainties, external disturbances, and input nonlinearity, global finite time synchronization between two identical attractors which belong to a class of second-order chaotic nonlinear gyros are achieved by considering a method of continuous smooth second-order sliding mode control (HOAMSC). It is proved that the proposed controller is robust to m...

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