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Feedback Stabilization Methods for the Numerical Solution of Systems of Ordinary Differential Equations

Feedback Stabilization Methods for the Numerical Solution of Systems of Ordinary Differential Equations

In this work we study the problem of step size selection for numerical schemes, which guarantees that the numerical solution presents the same qualitative behavior as the original system of ordinary differential equations, by means of tools from nonlinear control theory. Lyapunov‐based stabilization methods are exploited.