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The use of quadratic forms to study the stability with respect to part of the variables - MaRDI portal

The use of quadratic forms to study the stability with respect to part of the variables (Q1822256)

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scientific article; zbMATH DE number 4002563
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English
The use of quadratic forms to study the stability with respect to part of the variables
scientific article; zbMATH DE number 4002563

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    The use of quadratic forms to study the stability with respect to part of the variables (English)
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    1986
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    The conditions for the existence of the Lyapunov function in the form of a quadratic form with constant coefficients, positive definite with respect to a part of the variables, necessary for the nonlinear systems, and necessary and sufficient for linear stationary systems, are obtained. Examples are considered.
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    first order differential equation
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    Lyapunov function
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    quadratic form
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    Examples
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