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delay differential equations using DDE23

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IISc
IISc el 13 de Nov. de 2014
Respondida: Pulkit Goyal el 29 de Dic. de 2019
I am working on solution to system of equations of the form ydot=f(y,u) where u is control inputs. The control inputs appear in ydot equations. The control inputs are delayed due to compuational and sampling delays. Thus it is a DDE. Can i use DDE23 to solve these equations. The examples of DDE23 only talk about state delays. Control delays are not described.

Respuestas (2)

Torsten
Torsten el 14 de Nov. de 2014
I guess that usually the controls at time t will be autonomous or a function of the state variables at earlier times.
Thus DDE23 can be applied.
Best wishes
Torsten.

Pulkit Goyal
Pulkit Goyal el 29 de Dic. de 2019
If control input delays are a function of state themselves (e.g., in the case of a PID controller), then, the resulting differential equations become neutral delay differential equations. In this case, you can use ddensd in MATLAB to numerically integrate the set of dde.

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