Successive linearizations of second order multidimensional time-invariant systems |
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Authors: | Fethi Belkhouche Boumediene Belkhouche |
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Affiliation: | EECS Department, Tulane University, New Orleans, LA, 70118, USA |
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Abstract: | The present paper discusses a linearization method for second order multidimensional time-invariant systems. The method approximates locally the nonlinear vector field around the equilibrium, where the solution starting from a given initial state near the equilibrium is approximated by a linear solution. This linearization is usually called local trajectory-based linearization. The approximation is computed using an iterative method, which consists of successive approximations in the least square sense. Using a numerical example, it is shown that the linearized solutions exhibit good agreement with the nonlinear solutions. |
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Keywords: | 02 60 -x 02 60 Cb 02 60 Lj |
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