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Barkan
Sep23-09, 01:47 AM
Hi all,

I am struggling to solve some simple state equations in the following form.

dx/dt = A x + bu

solution is simple if A has only constant elements, because i can multiply both sides with exp(-At) and solve.

in my case, A has time dependent elements. i know their functions. is there any particular solution for this case?

thank you in advance.

Barkan
Sep23-09, 02:06 AM
i found a satisfying answer. copy and paste here just in case, if somebody seeks for it

http://en.wikibooks.org/wiki/Control_Systems/Time_Variant_System_Solutions