Displaying similar documents to “Nonlinear vibrations, stability analysis, and control.”

How to compensate a spreading disturbance for a class of nonlinear systems

Youssef Qaraai, Abdes Samed Bernoussi, Abdelhaq El Jai (2008)

International Journal of Applied Mathematics and Computer Science

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We consider a system which is assumed to be affected by an expanding disturbance which occurs at the initial time. The compensation of the disturbance is accomplished by extending the concept of remediability to a class of nonlinear systems. The results are implemented and illustrated with a nonlinear distributed model.

Nonlinear transmission problems.

Wegert, Elias, Khimshiashvili, Georgi, Spitkovsky, Ilya (1997)

Memoirs on Differential Equations and Mathematical Physics

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State estimation for a class of nonlinear systems

Benoît Schwaller, Denis Ensminger, Birgitta Dresp-Langley, José Ragot (2013)

International Journal of Applied Mathematics and Computer Science

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We propose a new type of Proportional Integral (PI) state observer for a class of nonlinear systems in continuous time which ensures an asymptotic stable convergence of the state estimates. Approximations of nonlinearity are not necessary to obtain such results, but the functions must be, at least locally, of the Lipschitz type. The obtained state variables are exact and robust against noise. Naslin's damping criterion permits synthesizing gains in an algebraically simple and efficient...

Positivity and linearization of a class of nonlinear continuous-time systems by state feedbacks

Tadeusz Kaczorek (2015)

International Journal of Applied Mathematics and Computer Science

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The positivity and linearization of a class of nonlinear continuous-time system by nonlinear state feedbacks are addressed. Necessary and sufficient conditions for the positivity of the class of nonlinear systems are established. A method for linearization of nonlinear systems by nonlinear state feedbacks is presented. It is shown that by a suitable choice of the state feedback it is possible to obtain an asymptotically stable and controllable linear system, and if the closed-loop system...

Nonlinear forced vibration response of smart two-phase nano-composite beams to external harmonic excitations

Soraya Mareishi, Hamed Kalhori, Mohammad Rafiee, Seyedeh Marzieh Hosseini (2015)

Curved and Layered Structures

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This paper presents an analytical solution for nonlinear free and forced vibration response of smart laminated nano-composite beams resting on nonlinear elastic foundation and under external harmonic excitation. The structure is under a temperature change and an electric excitation through the piezoelectric layers. Different distribution patterns of the single walled aligned and straight carbon nanotubes (SWCNTs) through the thickness of the beam are considered. The beam complies with...