An Algorithm to Verify Asymptotic Stability Conditions of a Certain Family of Systems of Differential Equations

Abstract

The aim of this paper is to implement an algorithm that facilitates the application of fundamental result obtained previously about the asymptotic stability of the solutions of a certain class of interconnected systems (switched linear systems). We also intend to reaffirm the possibility of finding new points of contact between the qualitative theory of ordinary differential equations and study electrical and mechanical properties of certain electrical machines. Mathematics Subject Classification: 34D20, 37C20, 34D10, 34D05, 93A30, 65C20

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Cite this paper

@inproceedings{Ramos2014AnAT, title={An Algorithm to Verify Asymptotic Stability Conditions of a Certain Family of Systems of Differential Equations}, author={Sandy D{\'i}az Ramos and Efr{\'e}n V{\'a}zquez Silva}, year={2014} }