3 research outputs found

    On the Stability of Pseudo-Linear Systems

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    A stability method for nonlinear systems of the form x=A (x)x with the origin as the only equilibrium point has been obtained. Examples are given to demonstrate the method

    Lie Algebras and the Stability of Nonlinear Systems

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    Lie algenras and the Cartan decomposition are used to study the stability of "pseudo-linear" systems of differential equations

    Pseudo-Linear Systems, Lie Algebras and Stability

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    The stability of pseudo-linear systems is considered by using a diagonal dominance approach coupled with the theory of the semi-simple Lie algebras and the Cartan decomposition