Stability analysis of delay-differential equations by the method of steps and inverse Laplace transform

نویسنده

  • Tamás Kalmár-Nagy
چکیده

It is demonstrated that the method of steps for linear delay-differential equation together with the inverse Laplace transform can be used to find a converging sequence of polynomial approximants to the transcendental function determining stability of the delay equation. Numerical stability charts are shown to illustrate convergence. This approach can serve as a basis for an efficient numerical method to determine stability regions for higher-order delay-differential equations

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تاریخ انتشار 2009