Resonances in nonstationary, nonlinear, multidegree-of-freedom systems
13th Structures, Structural Dynamics, and Materials Conference, 1972The asymptotic method for determining resonant responses of nonstationary , nonlinear systems is presented. Resonance conditions, resonance coefficients, and higher-order resonances are discussed. The first asymptotic approximation nonstationary solution is obtained for general resonances.
Agrawal, Brij N., Evan-Iwanowski, R. M.
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Solvability of a nonlinear nonstationary system of equations
Lithuanian Mathematical Journal, 1990The initial-boundary value problem for a system \[ \begin{gathered} \partial u_ k/\partial t=ia_ k\Delta u_ k+f_ k(u,\bar u),\;k=1,...,r; \\ \partial u_ k/\partial t+ib_ k\partial^ 2u_ k/\partial t^ 2=ia_ k\Delta u_ k+f_ k(u,\bar u),\;k=r+1,...,m \end{gathered} \] on a bounded domain \((0,T)\times\Omega\) is examined.
Domarkas, A. +2 more
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GENERALIZED REDUCTION PROCEDURE AND NONLINEAR NONSTATIONARY DYNAMICAL SYSTEMS
Modern Physics Letters A, 1992In this paper a generalized reduction procedure is used to obtain nonlinear nonstationary dynamical systems out of free ones.
Man'ko, V. I., Marmo, G.
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Uniform ultimate boundedness of nonlinear nonstationary systems
Vestnik St. Petersburg University: Mathematics, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aleksandrov, A. Yu., Zhabko, A. P.
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Nonstationary equivalent linearization of nonlinear continuous systems
Probabilistic Engineering Mechanics, 1993Abstract This paper presents a technique for obtaining the nonstationary stochastic response of a nonlinear continuous system. The method of equivalent linearization is generalized to continuous systems subjected to nonstationary random excitation.
W.D. Iwan, R.G. Whirley
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Structural rules for the determination of sensitivity functions of nonlinear nonstationary systems
IFAC Proceedings Volumes, 1964Publisher Summary This chapter discusses the structural rules for the determination of sensitivity functions of nonlinear nonstationary systems. The structural methods proposed for sensitivity analysis of linear stationary and certain nonlinear systems are more practical than the purely analytical procedures, although the latter are considerably more
M. Vušković, V. Ćirić
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Stability analysis for the solutions of a class of nonlinear nonstationary systems with delay
Automation and Remote Control, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alexander Yu. Aleksandrov +1 more
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Stability of Nonlinear Systems with Periodically Nonstationary Linear Part
Zeitschrift für Analysis und ihre Anwendungen, 1991Multidimensional nonlinear systems with periodically nonstationary linear part are considered. It is supposed that nonlinear blocks satisfy some integral quadratic constraint. The necessary and sufficient condition of absolute stability with respect to output for such systems are established in terms of certain properties of solutions of a linear ...
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ALGORITHM FOR ADAPTIVE ESTIMATION OF PARAMETERS FOR NONLINEAR NONSTATIONARY SYSTEMS
ВЕСТНИК ВОРОНЕЖСКОГО ГОСУДАРСТВЕННОГО ТЕХНИЧЕСКОГО УНИВЕРСИТЕТА, 2023рассматривается задача оценивания неизвестных параметров для класса нелинейных нестационарных систем. В этом случае предполагается, что матрица состояния системы содержит неизвестные нестационарные параметры. Допустим, что нестационарные параметры системы могут быть представлены как выходы линейных генераторов с неизвестными матрицей состояния и ...
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To the structure identification of a nonlinear regulator for a nonstationary hyperbolic system
Doklady Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lakeyev, A. V. +2 more
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