A general purpose, simple ODE solver function that uses Euler integration to simulate (possibly non-linear) multi-inputs dynamic systems, with "embedded" provision for state feedback controller.
In its most general form, the function implements a system of the form:



where dot notation indicates time derivative.
A few examples are provided.

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DynSys_v01.sm (226.66 KiB) downloaded 1006 time(s).

I like the way to plot vectors, was not aware of this.

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It is an (undocumented?) feature I discovered by chance.
Notice the "staircased" behaviour.

The X-Y plot plug-in has a similar property: in that case it seems that ANY variable name, not just "x", can be used as a subscript to obtain vector plot.

Wrote

It is an (undocumented?) feature.

Not undocumented any more. SVN Activebook updated.

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Section 2D plots built-in.sm (36.68 KiB) downloaded 933 time(s).

Attachment updated with a function for handling discrete time systems (see 1st post).