Stability of a linear oscillator with variable parameters.
Ignatyev, Alexander O. (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Ignatyev, Alexander O. (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Andrew R. Teel, Laurent Praly (2000)
ESAIM: Control, Optimisation and Calculus of Variations
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Naulin, Raúl, Vanegas, Carmen J. (1998)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Charles S. Kahane (1992)
Czechoslovak Mathematical Journal
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Martynyuk, Anatoly A. (1990)
Journal of Applied Mathematics and Stochastic Analysis
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Michael I. Gil' (2015)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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We consider nonlinear non-autonomous multivariable systems governed by differential equations with differentiable linear parts. Explicit conditions for the exponential stability are established. These conditions are formulated in terms of the norms of the derivatives and eigenvalues of the variable matrices, and certain scalar functions characterizing the nonlinearity. Moreover, an estimate for the solutions is derived. It gives us a bound for the region of attraction of the steady...
Karel Sladký (1994)
Kybernetika
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Balanov, Z., Krawcewicz, W., Kushkuley, A., Zabreiko, P.P. (2000)
Zeitschrift für Analysis und ihre Anwendungen
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