ODEbase: a repository of ODE systems for systems biology

Christoph Lüders1, Thomas Sturm2,3, Ovidiu Radulescu4

  • 1Institute of Mathematics, University of Kassel, 34132 Kassel, Germany.

Bioinformatics Advances
|January 26, 2023
PubMed
Abstract

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BIBO stability of continuous and discrete -time systems01:24

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System stability is a fundamental concept in signal processing, often assessed using convolution. For a system to be considered bounded-input bounded-output (BIBO) stable, any bounded input signal must produce a bounded output signal. A bounded input signal is one where the modulus does not exceed a certain constant at any point in time.
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A servo system exemplifies a second-order system, featuring a proportional controller and load elements that ensure the output position aligns with the input position. The relationship between these components is described by a second-order differential equation. Applying the Laplace transform under zero initial conditions yields the transfer function, showing how inputs are converted to outputs in the system.
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